From 179dc85fe768f07da8c557de78aff29869386ef4 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Tue, 21 Apr 2020 13:10:20 -0600
Subject: [PATCH 01/19] Updated binary advection-diffusion example.

---
 .../pebbl/src/algorithm/ROL_PEBBL_Driver.hpp  |  12 +
 .../src/algorithm/ROL_PEBBL_Interface.hpp     |   9 +-
 .../binary/adv-diff-TEST/CMakeLists.txt       |  19 +-
 .../binary/adv-diff-TEST/branchHelper.hpp     |   7 +-
 .../binary/adv-diff-TEST/branching.hpp        | 207 +++++++++
 .../binary/adv-diff-TEST/example_01.cpp       |  59 ++-
 .../PDE-OPT/binary/adv-diff-TEST/femdata.hpp  | 290 +++++++++++++
 .../binary/adv-diff-TEST/input_ex01.xml       | 128 ++++--
 .../binary/adv-diff-TEST/misfit_robj.hpp      | 159 +++++++
 .../PDE-OPT/binary/adv-diff-TEST/objsum.hpp   | 129 ++++++
 .../binary/adv-diff-TEST/opfactory.hpp        | 164 +++----
 .../binary/adv-diff-TEST/pde_adv_diff.hpp     | 140 +++---
 .../PDE-OPT/binary/adv-diff-TEST/plotPEBBL.m  |  24 ++
 .../binary/adv-diff-TEST/qoi_adv_diff.hpp     | 387 ++++++++++-------
 .../PDE-OPT/binary/adv-diff-TEST/run.sh       |  17 +
 .../PDE-OPT/binary/adv-diff-TEST/sensor.txt   | 400 +++++++++---------
 .../binary/adv-diff-TEST/transform.hpp        |   7 +-
 17 files changed, 1555 insertions(+), 603 deletions(-)
 create mode 100644 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
 create mode 100644 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
 create mode 100644 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
 create mode 100644 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
 create mode 100644 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/plotPEBBL.m
 create mode 100755 packages/rol/example/PDE-OPT/binary/adv-diff-TEST/run.sh

diff --git a/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Driver.hpp b/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Driver.hpp
index 0212fd2b9acb..c85de62967c5 100644
--- a/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Driver.hpp
+++ b/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Driver.hpp
@@ -26,6 +26,9 @@ class ROL_PEBBL_Driver {
 
 public:
 
+  ROL_PEBBL_Driver(const Ptr<ROL_PEBBL_Branching<Real>> &branching)
+    : branching_(branching) {}
+
   ROL_PEBBL_Driver(const Ptr<OptimizationProblemFactory<Real>> &factory,
                    const Ptr<ParameterList> &parlist,
                    const Ptr<BranchHelper_PEBBL<Real>> &bHelper,
@@ -46,6 +49,15 @@ class ROL_PEBBL_Driver {
     }
     return flag;
   }
+
+  const Ptr<Vector<Real>> getSolution(void) const {
+    if (branching_ != nullPtr) {
+      return dynamic_cast<ROL_PEBBL_Solution<Real>*>(branching_->incumbent)->getVector();
+    }
+    else {
+      return nullPtr;
+    }
+  }
 };
 
 }
diff --git a/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Interface.hpp b/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Interface.hpp
index eb605bf6fb6c..a71b4c60996f 100644
--- a/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Interface.hpp
+++ b/packages/rol/adapters/pebbl/src/algorithm/ROL_PEBBL_Interface.hpp
@@ -75,7 +75,7 @@ class ROL_PEBBL_Solution : public pebbl::solution {
 
 template<class Real>
 class ROL_PEBBL_Branching : public pebbl::branching {
-private:
+protected:
   // OptimizationProblem encapsulates the following problem
   // min        obj(x)
   // subject to xl <= x <= xu
@@ -99,7 +99,7 @@ class ROL_PEBBL_Branching : public pebbl::branching {
     : factory_(factory), parlist_(parlist), bHelper_(bHelper),
       verbosity_(verbosity), outStream_(outStream) {}
 
-  pebbl::branchSub* blankSub() {
+  virtual pebbl::branchSub* blankSub() {
     return new ROL_PEBBL_BranchSub<Real>(makePtrFromRef<ROL_PEBBL_Branching<Real>>(*this),verbosity_,outStream_);
   }
 
@@ -126,7 +126,7 @@ class ROL_PEBBL_Branching : public pebbl::branching {
 
 template<class Real>
 class ROL_PEBBL_BranchSub : public pebbl::branchSub {
-private:
+protected:
   const Ptr<ROL_PEBBL_Branching<Real>> branching_;
   const Ptr<BranchHelper_PEBBL<Real>> bHelper_;
   std::map<int,Real> fixed_;
@@ -306,10 +306,11 @@ class ROL_PEBBL_BranchSub : public pebbl::branchSub {
     return (nfrac_==0);
   }
 
-  void incumbentHeuristic() {
+  virtual void incumbentHeuristic() {
     Real tol(std::sqrt(ROL_EPSILON<Real>()));
     rndSolution_->set(*solution_);
     rndSolution_->applyUnary(rnd);
+    problem0_->getObjective()->update(*rndSolution_);
     Real val = problem0_->getObjective()->value(*rndSolution_,tol);
     branching_->foundSolution(new ROL_PEBBL_Solution<Real>(*rndSolution_,val));
   }
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/CMakeLists.txt b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/CMakeLists.txt
index ba5f08fd38c9..03099f4cd77e 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/CMakeLists.txt
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/CMakeLists.txt
@@ -35,19 +35,22 @@ IF(${PROJECT_NAME}_ENABLE_Intrepid AND
     ADD_DIR_TO_NAME
   )
 
-  TRIBITS_ADD_EXECUTABLE_AND_TEST(
-    SumUpRounding
-    SOURCES example_02.cpp
-    ARGS PrintItAll
-    NUM_MPI_PROCS 4
-    PASS_REGULAR_EXPRESSION "TEST PASSED"
-    ADD_DIR_TO_NAME
-  )
+#  TRIBITS_ADD_EXECUTABLE_AND_TEST(
+#    SumUpRounding
+#    SOURCES example_02.cpp
+#    ARGS PrintItAll
+#    NUM_MPI_PROCS 4
+#    PASS_REGULAR_EXPRESSION "TEST PASSED"
+#    ADD_DIR_TO_NAME
+#  )
 
   TRIBITS_COPY_FILES_TO_BINARY_DIR(
     BinaryAdvTESTDiffDataCopy
     SOURCE_FILES
       input_ex01.xml
+      sensor.txt
+      run.sh
+      plotPEBBL.m
     SOURCE_DIR "${CMAKE_CURRENT_SOURCE_DIR}"
     DEST_DIR "${CMAKE_CURRENT_BINARY_DIR}"
   )
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branchHelper.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branchHelper.hpp
index 13a4f4e440c0..d86c66dd7b90 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branchHelper.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branchHelper.hpp
@@ -51,7 +51,12 @@ template <class Real>
 class PDEOPT_BranchHelper_PEBBL : public ROL::StdBranchHelper_PEBBL<Real> {
 private:
   ROL::Ptr<const ROL::StdVector<Real>> getParameter(const ROL::Vector<Real> &x) const {
-    return dynamic_cast<const PDE_OptVector<Real>&>(x).getParameter();
+    try {
+      return ROL::makePtrFromRef(dynamic_cast<const ROL::StdVector<Real>&>(x));
+    }
+    catch (std::exception &e) {
+      return dynamic_cast<const PDE_OptVector<Real>&>(x).getParameter();
+    }
   }
 
 public:
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
new file mode 100644
index 000000000000..246473110330
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
@@ -0,0 +1,207 @@
+// @HEADER
+// ************************************************************************
+//
+//               Rapid Optimization Library (ROL) Package
+//                 Copyright (2014) Sandia Corporation
+//
+// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
+// license for use of this work by or on behalf of the U.S. Government.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// 1. Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// 2. Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// 3. Neither the name of the Corporation nor the names of the
+// contributors may be used to endorse or promote products derived from
+// this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
+// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Questions? Contact lead developers:
+//              Drew Kouri   (dpkouri@sandia.gov) and
+//              Denis Ridzal (dridzal@sandia.gov)
+//
+// ************************************************************************
+// @HEADER
+
+#ifndef ROL_PDEOPT_BRANCHING_PEBBL_H
+#define ROL_PDEOPT_BRANCHING_PEBBL_H
+
+#include "ROL_PEBBL_Interface.hpp"
+
+template<class Real>
+class ADVDIFF_BranchSub;
+
+template<class Real>
+class ADVDIFF_Branching : public ROL::ROL_PEBBL_Branching<Real> {
+private:
+  const int method_;
+
+  using ROL::ROL_PEBBL_Branching<Real>::verbosity_;
+  using ROL::ROL_PEBBL_Branching<Real>::outStream_;
+
+public:
+  ADVDIFF_Branching(const ROL::Ptr<ROL::OptimizationProblemFactory<Real>> &factory,
+                    const ROL::Ptr<ROL::ParameterList>                    &parlist,
+                    const ROL::Ptr<ROL::BranchHelper_PEBBL<Real>>         &bHelper,
+                    int                                                    verbosity = 0,
+                    const ROL::Ptr<std::ostream>                          &outStream = ROL::nullPtr,
+                    int                                                    method = 0)
+    : ROL::ROL_PEBBL_Branching<Real>::ROL_PEBBL_Branching(factory,parlist,bHelper,verbosity,outStream),
+      method_(method) {}
+
+  pebbl::branchSub* blankSub() {
+    return new ADVDIFF_BranchSub<Real>(ROL::makePtrFromRef<ADVDIFF_Branching<Real>>(*this),verbosity_,outStream_,method_);
+  }
+}; // ADVDIFF_Branching
+
+template <class Real>
+class ADVDIFF_BranchSub : public ROL::ROL_PEBBL_BranchSub<Real> {
+private:
+  const int method_;
+  std::string methodName_;
+
+  using ROL::ROL_PEBBL_BranchSub<Real>::branching_;
+  using ROL::ROL_PEBBL_BranchSub<Real>::problem0_;
+  using ROL::ROL_PEBBL_BranchSub<Real>::solution_;
+  using ROL::ROL_PEBBL_BranchSub<Real>::rndSolution_;
+  using ROL::ROL_PEBBL_BranchSub<Real>::verbosity_;
+  using ROL::ROL_PEBBL_BranchSub<Real>::outStream_;
+
+  void round(ROL::Vector<Real> &rx, const ROL::Vector<Real> &x, Real t) const {
+    rx.set(x);
+    ROL::Ptr<std::vector<Real>> data = getParameter(rx);
+    Real val(0);
+    for (auto it = data->begin(); it != data->end(); ++it) {
+      val = *it;
+      *it = (val < t ? std::floor(val) : std::ceil(val));
+    }
+  }
+
+  ROL::Ptr<const std::vector<Real>> getParameter(const ROL::Vector<Real> &x) const {
+    try {
+      return dynamic_cast<const ROL::StdVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      return dynamic_cast<const PDE_OptVector<Real>&>(x).getParameter()->getVector();
+    }
+  }
+
+  ROL::Ptr<std::vector<Real>> getParameter(ROL::Vector<Real> &x) const {
+    try {
+      return dynamic_cast<ROL::StdVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      return dynamic_cast<PDE_OptVector<Real>&>(x).getParameter()->getVector();
+    }
+  }
+
+public:
+  ADVDIFF_BranchSub(const ROL::Ptr<ROL::ROL_PEBBL_Branching<Real>> &branching,
+                    int verbosity = 0,
+                    const ROL::Ptr<std::ostream> &outStream = ROL::nullPtr,
+                    int method = 0)
+    : ROL::ROL_PEBBL_BranchSub<Real>(branching, verbosity, outStream), method_(method) {
+    switch (method_) {
+      case 1:  methodName_ = "Mass Preserving Rounding"; break;
+      case 2:  methodName_ = "Objective Gap Rounding";   break;
+      default: methodName_ = "Naive Rounding";
+    }
+  }
+
+  ADVDIFF_BranchSub(const ADVDIFF_BranchSub &rpbs)
+    : ROL::ROL_PEBBL_BranchSub<Real>(rpbs), method_(rpbs.method_) {}
+
+  void incumbentHeuristic() {
+    Real tol = std::sqrt(ROL::ROL_EPSILON<Real>());
+    Real t(0), val(0);
+    if (method_==1) { // mass preserving rounding
+      const Real zero(0), one(1);
+      rndSolution_->set(*solution_);
+      ROL::Ptr<std::vector<Real>> data = getParameter(*rndSolution_);
+      std::map<Real,size_t> sdata;
+      Real sum(0);
+      for (size_t i = 0; i < data->size(); ++i) {
+        sdata.insert(std::pair<Real,size_t>((*data)[i],i));
+        sum += (*data)[i];
+      }
+      int rsum = static_cast<int>(std::round(sum)), psum(0);
+      for (auto it = sdata.rbegin(); it != sdata.rend(); ++it) {
+        (*data)[it->second] = (psum < rsum ? one : zero);
+        t = (psum < rsum ? it->first : t);
+        psum++;
+      }
+    }
+    else if (method_==2) { // objective gap rounding
+      const Real invphi(0.5*(std::sqrt(5.0)-1.0));
+      const Real invphi2(0.5*(3.0-std::sqrt(5.0)));
+      const Real itol(std::sqrt(ROL::ROL_EPSILON<Real>()));
+      Real a(0), b(1), c(0), d(1), h(b-a), fc(0), fd(0);
+      // Evaluate at c
+      c = a + invphi2 * h;
+      round(*rndSolution_,*solution_,c);
+      problem0_->getObjective()->update(*rndSolution_);
+      fc = problem0_->getObjective()->value(*rndSolution_,tol);
+      // Evaluate at d
+      d = a + invphi * h;
+      round(*rndSolution_,*solution_,d);
+      problem0_->getObjective()->update(*rndSolution_);
+      fd = problem0_->getObjective()->value(*rndSolution_,tol);
+      while (std::abs(c-d) > itol) {
+        h *= invphi;
+        if (fc < fd) {
+          b  = d;
+          d  = c;
+          fd = fc;
+          c  = a + invphi2 * h;
+          round(*rndSolution_,*solution_,c);
+          problem0_->getObjective()->update(*rndSolution_);
+          fc = problem0_->getObjective()->value(*rndSolution_,tol);
+        }
+        else {
+          a  = c;
+          c  = d;
+          fc = fd;
+          d  = a + invphi * h;
+          round(*rndSolution_,*solution_,d);
+          problem0_->getObjective()->update(*rndSolution_);
+          fd = problem0_->getObjective()->value(*rndSolution_,tol);
+        }
+      }
+      t = static_cast<Real>(0.5)*(a+b);
+      round(*rndSolution_,*solution_,t);
+    }
+    else { // naive rounding
+      t = static_cast<Real>(0.5);
+      round(*rndSolution_,*solution_,t);
+    }
+    problem0_->getObjective()->update(*rndSolution_);
+    val = problem0_->getObjective()->value(*rndSolution_,tol);
+    branching_->foundSolution(new ROL::ROL_PEBBL_Solution<Real>(*rndSolution_,val));
+    if (verbosity_ > 0) {
+      *outStream_ << "ADVDIFF_BranchSub::incumbentHeuristic: " << methodName_ << std::endl;
+      *outStream_ << "  Incumbent Value:    " << val  << std::endl;
+      *outStream_ << "  Rounding Threshold: " << t    << std::endl;
+    }
+  };
+
+}; // class ADVDIFF_BranchSub
+
+#endif
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
index 27a37ad975b0..ffb9ab7faf8f 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
@@ -58,9 +58,9 @@
 #include "ROL_PEBBL_Driver.hpp"
 #include "ROL_TeuchosBranchHelper_PEBBL.hpp"
 #include "opfactory.hpp"
-#include "hilbert.hpp"
 #include "extractQP.hpp"
 #include "branchHelper.hpp"
+#include "branching.hpp"
 
 int main(int argc, char *argv[]) {
 //  feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW);
@@ -93,9 +93,8 @@ int main(int argc, char *argv[]) {
     ROL::Ptr<ROL::OptimizationProblem<RealT>> problem;
     ROL::Ptr<ROL::OptimizationSolver<RealT>>  solver;
     ROL::Ptr<ROL::Vector<RealT>>              z, u;
-    int order = parlist->sublist("Problem").get("Hilbert Curve Order",6);
-    int n = std::pow(2,order+1);
-    parlist->sublist("Problem").set("Hilbert Curve Order",order+1);
+    int nx = parlist->sublist("Problem").get("Number of X-Cells",64);
+    int ny = parlist->sublist("Problem").get("Number of Y-Cells",32);
     factory = ROL::makePtr<BinaryAdvDiffFactory<RealT>>(*parlist,comm,outStream);
     bool checkDeriv = parlist->sublist("Problem").get("Check Derivatives",false); 
     if (checkDeriv) factory->check(*outStream);
@@ -112,11 +111,16 @@ int main(int argc, char *argv[]) {
     solveQP = (useBB ? false : solveQP);
     if (useBB) {
       RealT intTol = parlist->sublist("Problem").get("Integrality Tolerance",1e-6);
-      int method = parlist->sublist("Problem").get("Branching Method",0);
+      int method    = parlist->sublist("Problem").get("Branching Method",0);
+      int incheur   = parlist->sublist("Problem").get("Incumbent Heuristic",0);
+      int verbosity = parlist->sublist("Problem").get("BB Output Level",0);
       ROL::Ptr<ROL::BranchHelper_PEBBL<RealT>> bHelper
         = ROL::makePtr<PDEOPT_BranchHelper_PEBBL<RealT>>(intTol,method);
-      ROL::ROL_PEBBL_Driver<RealT> pebbl(factory,parlist,bHelper,3,outStream);
+      ROL::Ptr<ADVDIFF_Branching<RealT>> branching
+        = ROL::makePtr<ADVDIFF_Branching<RealT>>(factory,parlist,bHelper,verbosity,outStream,incheur);
+      ROL::ROL_PEBBL_Driver<RealT> pebbl(branching);
       pebbl.solve(argc,argv,*outStream);
+      z = pebbl.getSolution();
     }
     else {
       if (solveQP) {
@@ -125,17 +129,17 @@ int main(int argc, char *argv[]) {
       }
       solver = ROL::makePtr<ROL::OptimizationSolver<RealT>>(*problem, *parlist);
       solver->solve(*outStream);
+      z = problem->getSolutionVector();
     }
-    z = problem->getSolutionVector();
     factory->getState(u,z);
 
     // Print
     bool usePC = parlist->sublist("Problem").get("Piecewise Constant Controls", true);
     std::stringstream uname, zname, xname, yname;
-    uname << "state_"   << order+1 << ".txt";
-    zname << "control_" << order+1 << ".txt";
-    xname << "X_"       << order+1 << ".txt";
-    yname << "Y_"       << order+1 << ".txt";
+    uname << "state_"   << nx << "_" << ny << ".txt";
+    zname << "control_" << nx << "_" << ny << ".txt";
+    xname << "X_"       << nx << "_" << ny << ".txt";
+    yname << "Y_"       << nx << "_" << ny << ".txt";
     if (!solveQP) {
       factory->getAssembler()->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<RealT>>(u)->getVector(),uname.str());
       if (!usePC) {
@@ -146,20 +150,13 @@ int main(int argc, char *argv[]) {
         zfile.open(zname.str());
         xfile.open(xname.str());
         yfile.open(yname.str());
-        int x(0), y(0);
-        std::vector<RealT> &zdata = *ROL::dynamicPtrCast<PDE_OptVector<RealT>>(z)->getParameter()->getVector();
-        //for (unsigned j = 0; j < n*n; ++j) {
-        //  zfile << zdata[j] << std::endl;
-        //  hilbert::d2xy(order+1, j, x, y);
-        //  xfile << x << std::endl;
-        //  yfile << y << std::endl;
-        //}
-        for (int j = 0; j < n; ++j) {
-          for (int k = 0; k < n; ++k) {
-            zfile << zdata[j+k*n] << std::endl;
-            x = j; y = k;
-            xfile << x << std::endl;
-            yfile << y << std::endl;
+        std::vector<RealT> &zdata = *ROL::dynamicPtrCast<ROL::StdVector<RealT>>(z)->getVector();
+        zfile << std::scientific << std::setprecision(18);
+        for (int j = 0; j < nx; ++j) {
+          for (int k = 0; k < ny; ++k) {
+            zfile << zdata[j+k*nx] << std::endl;
+            xfile << j << std::endl;
+            yfile << k << std::endl;
           }
         }
         zfile.close();
@@ -174,15 +171,9 @@ int main(int argc, char *argv[]) {
       yfile.open(yname.str());
       int x(0), y(0);
       Teuchos::SerialDenseVector<int,RealT> &zdata = *ROL::dynamicPtrCast<ROL::TeuchosVector<int,RealT>>(z)->getVector();
-      //for (unsigned j = 0; j < n*n; ++j) {
-      //  zfile << zdata[j] << std::endl;
-      //  hilbert::d2xy(order+1, j, x, y);
-      //  xfile << x << std::endl;
-      //  yfile << y << std::endl;
-      //}
-      for (int j = 0; j < n; ++j) {
-        for (int k = 0; k < n; ++k) {
-          zfile << zdata[j+k*n] << std::endl;
+      for (int j = 0; j < nx; ++j) {
+        for (int k = 0; k < ny; ++k) {
+          zfile << zdata[j+k*nx] << std::endl;
           x = j; y = k;
           xfile << x << std::endl;
           yfile << y << std::endl;
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
new file mode 100644
index 000000000000..b71479675440
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
@@ -0,0 +1,290 @@
+
+#ifndef FEMDATA_H
+#define FEMDATA_H
+
+#include "ROL_Objective.hpp"
+#include "ROL_SimController.hpp"
+#include "../../TOOLS/assembler.hpp"
+#include "../../TOOLS/solver.hpp"
+#include "../../TOOLS/pdevector.hpp"
+#include "pde_adv_diff.hpp"
+#include "qoi_adv_diff.hpp"
+#include "mesh_adv_diff.hpp"
+
+template <class Real>
+class FEMdata {
+private:
+  // Advection Diffusion PDE
+  ROL::Ptr<PDE_adv_diff<Real>> pde_;
+  ROL::Ptr<Assembler<Real>> assembler_;
+  ROL::Ptr<Solver<Real>> solver_;
+  ROL::Ptr<Tpetra::CrsMatrix<>> matJ1_, matJ2_, matH_;
+  ROL::Ptr<Tpetra::MultiVector<>> vecG_, vecR_, vecJ3_;
+  Real c0_;
+
+  bool usePC_;
+  int psize_;
+
+  mutable unsigned napJ1_, napJ2_, napH1_, nasse_;
+
+public:
+  FEMdata(const ROL::Ptr<const Teuchos::Comm<int>>     &comm,
+          ROL::ParameterList                           &list,
+          std::ostream                                 &stream = std::cout)
+    : napJ1_(0), napJ2_(0), napH1_(0), nasse_(0) {
+    usePC_  = list.sublist("Problem").get("Piecewise Constant Controls",false);
+    int nx  = list.sublist("Problem").get("Number of X-Cells",1);
+    int ny  = list.sublist("Problem").get("Number of Y-Cells",1);
+    psize_  = nx*ny;
+
+    assemble(comm,list,stream);
+  }
+
+  const ROL::Ptr<Assembler<Real>> getAssembler(void) const {
+    return assembler_;
+  }
+
+  const ROL::Ptr<FE<Real>> getFE(void) const {
+    return pde_->getFE();
+  }
+
+  // PDE definitions
+  void addPDErhs(ROL::Vector<Real> &rhs) const {
+    const Real one(1);
+    ROL::Ptr<Tpetra::MultiVector<>> rhsf = getField(rhs);
+    rhsf->update(one,*vecR_,one);
+  }
+
+  void applyInversePDEJacobian(ROL::Vector<Real>       &x,
+                               const ROL::Vector<Real> &b,
+                               bool transpose) {
+    ROL::Ptr<Tpetra::MultiVector<>>       xf = getField(x);
+    ROL::Ptr<const Tpetra::MultiVector<>> bf = getConstField(b);
+    solver_->solve(xf,bf,transpose);
+    napJ1_++;
+  }
+
+  void applyControlJacobian(ROL::Vector<Real>       &Jv,
+                            const ROL::Vector<Real> &v,
+                            const bool transpose) {
+    if (usePC_) {
+      if (transpose) {
+        ROL::Ptr<std::vector<Real>> Jvp = getParameter(Jv);
+        ROL::Ptr<const Tpetra::MultiVector<>> vf = getConstField(v);
+        Teuchos::Array<Real> val(1,0);
+        const size_t size = Jvp->size();
+        for (size_t i = 0; i < size; ++i) {
+          Teuchos::ArrayView<const size_t> col(&i,1);
+          vecJ3_->subView(col)->dot(*vf, val.view(0,1));
+          (*Jvp)[i] = val[0];
+        }        
+      }
+      else {
+        Jv.zero();
+        ROL::Ptr<Tpetra::MultiVector<>> Jvf = getField(Jv);
+        ROL::Ptr<const std::vector<Real>> vp = getConstParameter(v);
+        const Real one(1);
+        const size_t size = vp->size();
+        for (size_t i = 0; i < size; ++i) {
+          Teuchos::ArrayView<const size_t> col(&i,1);
+          Jvf->update((*vp)[i],*vecJ3_->subView(col),one);
+        }
+      }
+    }
+    else {
+      ROL::Ptr<Tpetra::MultiVector<>> Jvf = getField(Jv);
+      ROL::Ptr<const Tpetra::MultiVector<>> vf = getConstField(v);
+      if (transpose) {
+        matJ2_->apply(*vf,*Jvf,Teuchos::TRANS);
+      }
+      else {
+        matJ2_->apply(*vf,*Jvf);
+      }
+    }
+    napJ2_++;
+  }
+
+  // Objective definitions
+  Real getObjectiveConstant(void) const {
+    return c0_;
+  }
+
+  void addObjectiveGradient(ROL::Vector<Real> &g) const {
+    const Real one(1);
+    ROL::Ptr<Tpetra::MultiVector<>> gf = getField(g);
+    gf->update(one,*vecG_,one);
+  }
+
+  void applyObjectiveHessian(ROL::Vector<Real>       &Hv,
+                             const ROL::Vector<Real> &v) const {
+    ROL::Ptr<Tpetra::MultiVector<>>       Hvf = getField(Hv);
+    ROL::Ptr<const Tpetra::MultiVector<>> vf  = getConstField(v);
+    matH_->apply(*vf,*Hvf);
+    napH1_++;
+  }
+
+  ROL::Ptr<ROL::Vector<Real>> createStateVector(ROL::ParameterList &list) const {
+    return ROL::makePtr<PDE_PrimalSimVector<Real>>(assembler_->createStateVector(),pde_,assembler_,list);
+  }
+
+  ROL::Ptr<ROL::Vector<Real>> createResidualVector(ROL::ParameterList &list) const {
+    return ROL::makePtr<PDE_DualSimVector<Real>>(assembler_->createResidualVector(),pde_,assembler_,list);
+  }
+
+  ROL::Ptr<ROL::Vector<Real>> createControlVector(ROL::ParameterList &list) const {
+    return ROL::makePtr<PDE_PrimalOptVector<Real>>(assembler_->createControlVector(),pde_,assembler_,list);
+  }
+
+  void summarize(std::ostream &stream) const {
+    stream << std::endl;
+    stream << std::string(114,'=') << std::endl;
+    stream << "  FEMdata::summarize" << std::endl;
+    stream << "    Number of assemblies:                 " << nasse_ << std::endl;
+    stream << "    Number of Jacobian_1 sovles:          " << napJ1_ << std::endl;
+    stream << "    Number of Jacobian_2 applies:         " << napJ2_ << std::endl;
+    stream << "    Number of Hessian_11 applies:         " << napH1_ << std::endl;
+    stream << std::string(114,'=') << std::endl;
+    stream << std::endl;
+  }
+
+private:
+
+  // Finite Element Assembly
+  void assemble(const ROL::Ptr<const Teuchos::Comm<int>>     &comm,
+                ROL::ParameterList                           &list,
+                std::ostream                                 &stream) {
+    nasse_++;
+
+    pde_ = ROL::makePtr<PDE_adv_diff<Real>>(list);
+    ROL::Ptr<MeshManager<Real>>  mesh = ROL::makePtr<MeshManager_adv_diff<Real>>(list);
+    assembler_ = ROL::makePtr<Assembler<Real>>(pde_->getFields(),
+                                               mesh,comm,list,stream);
+    assembler_->setCellNodes(*pde_);
+    ROL::Ptr<QoI<Real>> qoi = ROL::makePtr<QoI_State_Cost_adv_diff<Real>>(pde_->getFE(),list);
+    solver_ = ROL::makePtr<Solver<Real>>(list.sublist("Solver"));
+
+    // Create zero vectors
+    const Real zero(0);
+    ROL::Ptr<Tpetra::MultiVector<>> stateZero   = assembler_->createStateVector();
+    ROL::Ptr<Tpetra::MultiVector<>> controlZero = ROL::nullPtr;
+    ROL::Ptr<std::vector<Real>>     paramZero   = ROL::nullPtr;
+    stateZero->putScalar(zero);
+    if (usePC_) {
+      paramZero   = ROL::makePtr<std::vector<Real>>(psize_,zero);
+    }
+    else {
+      controlZero = assembler_->createControlVector();
+      controlZero->putScalar(zero);
+    }
+
+    // Assemble components of the linear PDE
+    assembler_->assemblePDEResidual(vecR_,pde_,stateZero,controlZero,paramZero);
+    assembler_->assemblePDEJacobian1(matJ1_,pde_,stateZero,controlZero,paramZero);
+    if (usePC_) {
+      assembler_->assemblePDEJacobian3(vecJ3_,pde_,stateZero,controlZero,paramZero);
+    }
+    else {
+      assembler_->assemblePDEJacobian2(matJ2_,pde_,stateZero,controlZero,paramZero);
+    }
+    solver_->setA(matJ1_);
+
+    // Assemble components of the quadratic objective function
+    c0_ = assembler_->assembleQoIValue(qoi,stateZero);
+    assembler_->assembleQoIGradient1(vecG_,qoi,stateZero);
+    assembler_->assembleQoIHessian11(matH_,qoi,stateZero);
+  }
+
+  ROL::Ptr<const Tpetra::MultiVector<>> getConstField(const ROL::Vector<Real> &x) const {
+    ROL::Ptr<const Tpetra::MultiVector<>> xp;
+    try {
+      xp = dynamic_cast<const ROL::TpetraMultiVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      try {
+        ROL::Ptr<const ROL::TpetraMultiVector<Real>> xvec
+          = dynamic_cast<const PDE_OptVector<Real>&>(x).getField();
+        if (xvec == ROL::nullPtr) {
+          xp = ROL::nullPtr;
+        }
+        else {
+          xp = xvec->getVector();
+        }
+      }
+      catch (std::exception &ee) {
+        xp = ROL::nullPtr;
+      }
+    }
+    return xp;
+  }
+
+  ROL::Ptr<Tpetra::MultiVector<>> getField(ROL::Vector<Real> &x) const {
+    ROL::Ptr<Tpetra::MultiVector<>> xp;
+    try {
+      xp = dynamic_cast<ROL::TpetraMultiVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      try {
+        ROL::Ptr<ROL::TpetraMultiVector<Real>> xvec
+          = dynamic_cast<PDE_OptVector<Real>&>(x).getField();
+        if ( xvec == ROL::nullPtr ) {
+          xp = ROL::nullPtr;
+        }
+        else {
+          xp = xvec->getVector();
+        }
+      }
+      catch (std::exception &ee) {
+        xp = ROL::nullPtr;
+      }
+    }
+    return xp;
+  }
+
+  ROL::Ptr<const std::vector<Real> > getConstParameter(const ROL::Vector<Real> &x) const {
+    ROL::Ptr<const std::vector<Real> > xp;
+    try {
+      xp = dynamic_cast<const ROL::StdVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      try {
+        ROL::Ptr<const ROL::StdVector<Real> > xvec
+          = dynamic_cast<const PDE_OptVector<Real>&>(x).getParameter();
+        if ( xvec == ROL::nullPtr ) {
+          xp = ROL::nullPtr;
+        }
+        else {
+          xp = xvec->getVector();
+        }
+      }
+      catch (std::exception &ee) {
+        xp = ROL::nullPtr;
+      }
+    }
+    return xp;
+  }
+
+  ROL::Ptr<std::vector<Real> > getParameter(ROL::Vector<Real> &x) const {
+    ROL::Ptr<std::vector<Real> > xp;
+    try {
+      xp = dynamic_cast<ROL::StdVector<Real>&>(x).getVector();
+    }
+    catch (std::exception &e) {
+      try {
+        ROL::Ptr<ROL::StdVector<Real> > xvec
+          = dynamic_cast<PDE_OptVector<Real>&>(x).getParameter();
+        if ( xvec == ROL::nullPtr ) {
+          xp = ROL::nullPtr;
+        }
+        else {
+          xp = xvec->getVector();
+        }
+      }
+      catch (std::exception &ee) {
+        xp = ROL::nullPtr;
+      }
+    }
+    return xp;
+  }
+}; // class FEMdata
+
+#endif
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/input_ex01.xml b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/input_ex01.xml
index 6cfe5b7fa0a6..80c5441c85a4 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/input_ex01.xml
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/input_ex01.xml
@@ -1,25 +1,39 @@
 <ParameterList name="Inputs">
   <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
   <ParameterList name="Problem">
-    <Parameter name="Check Derivatives"          type="bool"    value="true"  />
-    <Parameter name="Use Storage"                type="bool"    value="true"  />
-    <Parameter name="Control Cost Type"          type="string"  value="TV"    />
-    <Parameter name="Piecewise Constant Control" type="bool"    value="true"  />
-    <Parameter name="Hilbert Curve Order"        type="int"     value="5"     />
-    <Parameter name="Control Cost"               type="double"  value="1e0"   />
-    <Parameter name="State Cost"                 type="double"  value="1e6"   />
-    <Parameter name="Order of FE Discretization" type="int"     value="1"     />
+    <Parameter name="Check Derivatives"           type="bool"    value="false"      />
+    <Parameter name="Use Storage"                 type="bool"    value="true"       />
+    <Parameter name="Piecewise Constant Controls" type="bool"    value="true"       />
+    <Parameter name="Solve as QP"                 type="bool"    value="false"      />
+    <Parameter name="Solve using BB"              type="bool"    value="true"       />
+    <Parameter name="BB Output Level"             type="int"     value="2"          />
+    <Parameter name="Incumbent Heuristic"         type="int"     value="1"          />
+    <Parameter name="Number of X-Cells"           type="int"     value="16"         />
+    <Parameter name="Number of Y-Cells"           type="int"     value="8"          />
+    <Parameter name="Control Cost Type"           type="string"  value="TV"         />
+    <Parameter name="Control Cost"                type="double"  value="8.531e-3"   />
+<!--
+    <Parameter name="Control Cost"                type="double"  value="1e-2"       />
+-->
+    <Parameter name="State Cost"                 type="double"  value="1e0"        />
+    <Parameter name="Integrality Cost"           type="double"  value="0e0"        />
+    <Parameter name="Sensor Width"               type="double"  value="3e-3"       />
+    <Parameter name="Sensor File Name"           type="string"  value="sensor.txt" />
+    <Parameter name="Number of Sensors"          type="int"     value="200"        />
+    <Parameter name="Order of FE Discretization" type="int"     value="1"          />
+    <Parameter name="Cubature Degree"            type="int"     value="8"          />
+    <Parameter name="Problem Dimension"          type="int"     value="2"          />
   </ParameterList>
 
   <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
   <ParameterList name="Geometry">
-    <Parameter name="Width"             type="double"  value="2.0"  />
-    <Parameter name="Height"            type="double"  value="1.0"  />
-    <Parameter name="X0"                type="double"  value="0.0"  />
-    <Parameter name="Y0"                type="double"  value="0.0"  />
-    <Parameter name="NX"                type="int"     value="64"   />
-    <Parameter name="NY"                type="int"     value="64"   />
-    <Parameter name="Partition type"    type="int"     value="1"    />
+    <Parameter name="Width"                      type="double"  value="2.0"  />
+    <Parameter name="Height"                     type="double"  value="1.0"  />
+    <Parameter name="X0"                         type="double"  value="0.0"  />
+    <Parameter name="Y0"                         type="double"  value="0.0"  />
+    <Parameter name="NX"                         type="int"     value="128"  />
+    <Parameter name="NY"                         type="int"     value="64"   />
+    <Parameter name="Partition type"             type="int"     value="1"    />
   </ParameterList>
 
   <!-- ===========  VECTOR SUBLIST  =========== -->
@@ -86,7 +100,7 @@
       <Parameter name="Type"                   type="string" value="Limited-Memory BFGS" />
       <Parameter name="Use as Preconditioner"  type="bool"   value="false"               />
       <Parameter name="Use as Hessian"         type="bool"   value="false"               />
-      <Parameter name="Maximum Storage"        type="int"    value="10"                  />
+      <Parameter name="Maximum Storage"        type="int"    value="100"                 />
       <Parameter name="Barzilai-Borwein Type"  type="int"    value="1"                   />
     </ParameterList>
     <!-- ===========  KRYLOV INPUTS  =========== -->
@@ -94,22 +108,67 @@
       <Parameter name="Type"               type="string" value="Conjugate Gradients" />
       <Parameter name="Absolute Tolerance" type="double" value="1.e-4"               />
       <Parameter name="Relative Tolerance" type="double" value="1.e-2"               />
-      <Parameter name="Iteration Limit"    type="int"    value="100"                 />
+      <Parameter name="Iteration Limit"    type="int"    value="200"                 />
     </ParameterList>
   </ParameterList>
 
   <!-- ===========  STEP SUBLIST  =========== -->
   <ParameterList name="Step">
-    <Parameter name="Type" type="string" value="Primal Dual Active Set" />
-    <!--
     <Parameter name="Type" type="string" value="Trust Region" />
+    <!--
+    <Parameter name="Type" type="string" value="Line Search" />
+    <Parameter name="Type" type="string" value="Primal-Dual Active Set" />
+    <Parameter name="Type" type="string" value="Moreau-Yosida Penalty" />
+    <Parameter name="Type" type="string" value="Interior Point" />
     -->
+    
+    <!-- ===========  LINE SEARCH  =========== -->
+    <ParameterList name="Line Search">
+      <Parameter name="Function Evaluation Limit"      type="int"    value="20"    />
+      <Parameter name="Sufficient Decrease Tolerance"  type="double" value="1.e-4" />
+      <Parameter name="Initial Step Size"              type="double" value="1.0"   />
+      <Parameter name="User Defined Initial Step Size" type="bool"   value="false" />
+      <Parameter name="Accept Linesearch Minimizer"    type="bool"   value="false" />
+      <Parameter name="Accept Last Alpha"              type="bool"   value="false" />
+
+      <!-- ===========  DESCENT ALGORITHM SPECIFICATION  =========== -->
+      <ParameterList name="Descent Method">
+        <Parameter name="Type"              type="string" value="Newton-Krylov"    /> 
+        <Parameter name="Nonlinear CG Type" type="string" value="Hestenes-Stiefel" />
+      </ParameterList>
+
+      <!-- ===========  CURVATURE CONDITION SPECIFICATION  =========== -->
+      <ParameterList name="Curvature Condition">
+        <Parameter name="Type"                        type="string" value="Strong Wolfe Conditions" />
+        <Parameter name="General Parameter"           type="double" value="0.9"                     />
+        <Parameter name="Generalized Wolfe Parameter" type="double" value="0.6"                     />
+      </ParameterList>
+
+      <!-- ===========  LINE-SEARCH ALGORITHM SPECIFICATION  =========== -->
+      <ParameterList name="Line-Search Method">
+        <Parameter name="Type"                         type="string" value="Cubic Interpolation" />
+        <Parameter name="Backtracking Rate"            type="double" value="0.5"                 />
+        <Parameter name="Bracketing Tolerance"         type="double" value="1.e-8"               />
+
+        <!-- ===========  PATH-BASED TARGET LEVEL  =========== -->
+        <ParameterList name="Path-Based Target Level">
+          <Parameter name="Target Relaxation Parameter" type="double" value="1.0" />
+          <Parameter name="Upper Bound on Path Length"  type="double" value="1.0" />
+        </ParameterList>
+      </ParameterList>
+    </ParameterList>
+
     <!-- ===========  TRUST REGION  =========== -->
     <ParameterList name="Trust Region">
+      <Parameter name="Subproblem Solver"                    type="string" value="Lin-More" />
+      <Parameter name="Subproblem Model"                     type="string" value="Lin-More" />
+<!--
       <Parameter name="Subproblem Solver"                    type="string" value="Truncated CG" />
       <Parameter name="Subproblem Model"                     type="string" value="Kelley-Sachs" />
-      <Parameter name="Initial Radius"                       type="double" value="10.0"         />
-      <Parameter name="Maximum Radius"                       type="double" value="5.e3"         />
+      <Parameter name="Subproblem Model"                     type="string" value="Coleman-Li" />
+-->
+      <Parameter name="Initial Radius"                       type="double" value="1e3"          />
+      <Parameter name="Maximum Radius"                       type="double" value="1.e8"         />
       <Parameter name="Step Acceptance Threshold"            type="double" value="5e-3"         />
       <Parameter name="Radius Shrinking Threshold"           type="double" value="5e-3"         />
       <Parameter name="Radius Growing Threshold"             type="double" value="0.7"          />
@@ -150,10 +209,10 @@
 
     <!-- ===========  PRIMAL DUAL ACTIVE SET  =========== -->
     <ParameterList name="Primal Dual Active Set">
-      <Parameter name="Dual Scaling"                type="double" value="1e-6"   />
-      <Parameter name="Iteration Limit"             type="int"    value="10"    />
-      <Parameter name="Relative Step Tolerance"     type="double" value="1.e-8" />
-      <Parameter name="Relative Gradient Tolerance" type="double" value="1.e-6" />
+      <Parameter name="Dual Scaling"                type="double" value="1e-3"   />
+      <Parameter name="Iteration Limit"             type="int"    value="1"      />
+      <Parameter name="Relative Step Tolerance"     type="double" value="1.e-8"  />
+      <Parameter name="Relative Gradient Tolerance" type="double" value="1.e-6"  />
     </ParameterList>
 
     <!-- ===========  AUGMENTED LAGRANGIAN  =========== -->
@@ -181,13 +240,28 @@
       <Parameter name="Subproblem Step Type"                    type="string" value="Trust Region" />
       <Parameter name="Subproblem Iteration Limit"              type="int"    value="100"          />
     </ParameterList>
+
+    <!-- ===========  MOREAU-YOSIDA PENALTY  =========== -->
+    <ParameterList name="Moreau-Yosida Penalty">
+      <!-- ===========  PENALTY PARAMETER UPDATE  =========== -->
+      <Parameter name="Initial Penalty Parameter"       type="double" value="1e2"   />
+      <Parameter name="Penalty Parameter Growth Factor" type="double" value="1.0"   />
+
+      <!-- ===========  SUBPROBLEM SOLVER  =========== -->
+      <ParameterList name="Subproblem">
+        <Parameter name="Optimality Tolerance"          type="double" value="1e-12" />
+        <Parameter name="Feasibility Tolerance"         type="double" value="1e-12" />
+        <Parameter name="Print History"                 type="bool"   value="false" />
+        <Parameter name="Iteration Limit"               type="int"    value="40"    />
+      </ParameterList>
+    </ParameterList>
   </ParameterList>
 
   <!-- ===========  STATUS TEST SUBLIST  =========== -->
   <ParameterList name="Status Test">
     <Parameter name="Gradient Tolerance"   type="double" value="1.e-6"  />
     <Parameter name="Constraint Tolerance" type="double" value="1.e-8"  />
-    <Parameter name="Step Tolerance"       type="double" value="1.e-14" />
-    <Parameter name="Iteration Limit"      type="int"    value="200"    />
+    <Parameter name="Step Tolerance"       type="double" value="1.e-16" />
+    <Parameter name="Iteration Limit"      type="int"    value="10000"  />
   </ParameterList>
 </ParameterList>
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
new file mode 100644
index 000000000000..2ea092b79d09
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
@@ -0,0 +1,159 @@
+
+#ifndef MISFIT_ROBJ_H
+#define MISFIT_ROBJ_H
+
+#include "ROL_Objective.hpp"
+#include "ROL_SimController.hpp"
+#include "femdata.hpp"
+
+template <class Real>
+class Misfit_Objective : public ROL::Objective<Real> {
+private:
+  // Advection Diffusion PDE
+  const ROL::Ptr<FEMdata<Real>> fem_;
+
+  // Vector Storage
+  ROL::Ptr<ROL::SimController<Real>> stateStore_, adjointStore_;
+  ROL::Ptr<ROL::Vector<Real>> state_, adjoint_, state_sens_, adjoint_sens_;
+  ROL::Ptr<ROL::Vector<Real>> dualadjoint_;
+
+  bool storage_;
+
+  unsigned nstat_, nadjo_, nsens_, nsadj_;
+  unsigned nupda_, nfval_, ngrad_, nhess_, nprec_;
+
+public:
+  Misfit_Objective(const ROL::Ptr<FEMdata<Real>> &fem,
+                   ROL::ParameterList            &list)
+    : fem_(fem), nstat_(0), nadjo_(0), nsens_(0), nsadj_(0),
+      nupda_(0), nfval_(0), ngrad_(0), nhess_(0), nprec_(0) {
+    stateStore_   = ROL::makePtr<ROL::SimController<Real>>();
+    adjointStore_ = ROL::makePtr<ROL::SimController<Real>>();
+
+    // Vector Storage
+    state_        = fem_->createStateVector(list);
+    adjoint_      = fem_->createStateVector(list);
+    state_sens_   = fem_->createStateVector(list);
+    adjoint_sens_ = fem_->createStateVector(list);
+    dualadjoint_  = fem_->createResidualVector(list);
+
+    storage_  = list.sublist("Problem").get("Use state storage", true);
+  }
+
+  const ROL::Ptr<Assembler<Real>> getAssembler(void) const {
+    return fem_->getAssembler();
+  }
+
+  void update( const ROL::Vector<Real> &z, bool flag = true, int iter = -1 ) {
+    nupda_++;
+    stateStore_->objectiveUpdate(true);
+    adjointStore_->objectiveUpdate(flag);
+  }
+
+  void solvePDE(ROL::Vector<Real> &u, const ROL::Vector<Real> &z) {
+    update(z,false);
+    solve_state_equation(z);
+    u.set(*state_);
+  }
+
+  Real value( const ROL::Vector<Real> &z, Real &tol ) {
+    nfval_++;
+    solve_state_equation(z);
+    fem_->applyObjectiveHessian(*dualadjoint_,*state_); // Hu
+    dualadjoint_->scale(static_cast<Real>(0.5));        // 0.5 Hu
+    fem_->addObjectiveGradient(*dualadjoint_);          // 0.5 Hu + g
+    // 0.5 uHu + gu + c0
+    return state_->dot(dualadjoint_->dual()) + fem_->getObjectiveConstant();
+  }
+
+  void gradient( ROL::Vector<Real> &g, const ROL::Vector<Real> &z, Real &tol ) {
+    ngrad_++;
+    solve_state_equation(z);
+    solve_adjoint_equation(*state_);
+    fem_->applyControlJacobian(g,*adjoint_,true);
+  }
+
+  void hessVec( ROL::Vector<Real> &hv, const ROL::Vector<Real> &v, const ROL::Vector<Real> &z, Real &tol ) {
+    nhess_++;
+    solve_state_equation(z);
+    solve_adjoint_equation(*state_);
+    solve_state_sensitivity(v);
+    solve_adjoint_sensitivity(*state_sens_);
+    fem_->applyControlJacobian(hv,*adjoint_sens_,true);
+  }
+
+  /** \brief Apply a reduced Hessian preconditioner.
+  */
+  virtual void precond( ROL::Vector<Real> &Pv, const ROL::Vector<Real> &v, const ROL::Vector<Real> &z, Real &tol ) {
+    nprec_++;
+    Pv.set(v.dual());
+  }
+
+  void summarize(std::ostream &stream) const {
+    stream << std::endl;
+    stream << std::string(114,'=') << std::endl;
+    stream << "  Misfit_Objective::summarize" << std::endl;
+    stream << "    Number of calls to update:            " << nupda_ << std::endl;
+    stream << "    Number of calls to value:             " << nfval_ << std::endl;
+    stream << "    Number of calls to gradient:          " << ngrad_ << std::endl;
+    stream << "    Number of calls to hessVec:           " << nhess_ << std::endl;
+    stream << "    Number of calls to precond:           " << nprec_ << std::endl;
+    stream << "    Number of state solves:               " << nstat_ << std::endl;
+    stream << "    Number of adjoint solves:             " << nadjo_ << std::endl;
+    stream << "    Number of state sensitivity solves:   " << nsens_ << std::endl;
+    stream << "    Number of adjoint sensitivity solves: " << nsadj_ << std::endl;
+    stream << std::string(114,'=') << std::endl;
+    stream << std::endl;
+    fem_->summarize(stream);
+  }
+
+private:
+
+  void solve_state_equation(const ROL::Vector<Real> &z) {
+    bool isComputed = false;
+    if (storage_) {
+      isComputed = stateStore_->get(*state_,ROL::Objective<Real>::getParameter());
+    }
+    if (!isComputed || !storage_) {
+      fem_->applyControlJacobian(*dualadjoint_,z,false);          // Bz
+      fem_->addPDErhs(*dualadjoint_);                             // Bz + f
+      fem_->applyInversePDEJacobian(*state_,*dualadjoint_,false); // inv(A)(Bz + f)
+      state_->scale(static_cast<Real>(-1));                       // -inv(A)(Bz + f)
+      nstat_++;
+      if (storage_) {
+        stateStore_->set(*state_,ROL::Objective<Real>::getParameter());
+      }
+    }
+  }
+
+  void solve_adjoint_equation(const ROL::Vector<Real> &u) {
+    bool isComputed = false;
+    if (storage_) {
+      isComputed = adjointStore_->get(*adjoint_,ROL::Objective<Real>::getParameter());
+    }
+    if (!isComputed || !storage_) {
+      fem_->applyObjectiveHessian(*dualadjoint_,*state_);          // Hu
+      fem_->addObjectiveGradient(*dualadjoint_);                   // Hu + g
+      fem_->applyInversePDEJacobian(*adjoint_,*dualadjoint_,true); // inv(A')(Hu + g)
+      adjoint_->scale(static_cast<Real>(-1));                      // -inv(A')(Hu + g)
+      nadjo_++;
+      if (storage_) {
+        adjointStore_->set(*adjoint_,ROL::Objective<Real>::getParameter());
+      }
+    }
+  }
+
+  void solve_state_sensitivity(const ROL::Vector<Real> &v) {
+    fem_->applyControlJacobian(*dualadjoint_,v,false);               // Bv
+    fem_->applyInversePDEJacobian(*state_sens_,*dualadjoint_,false); // inv(A)Bv
+    nsens_++;
+  }
+
+  void solve_adjoint_sensitivity(const ROL::Vector<Real> &v) {
+    fem_->applyObjectiveHessian(*dualadjoint_,v);                     // Hv
+    fem_->applyInversePDEJacobian(*adjoint_sens_,*dualadjoint_,true); // inv(A')Hv
+    nsadj_++;
+  }
+}; // class Misfit_Objective
+
+#endif
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
new file mode 100644
index 000000000000..9f33ac384aec
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
@@ -0,0 +1,129 @@
+// @HEADER
+// ************************************************************************
+//
+//               Rapid Optimization Library (ROL) Package
+//                 Copyright (2014) Sandia Corporation
+//
+// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
+// license for use of this work by or on behalf of the U.S. Government.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// 1. Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// 2. Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// 3. Neither the name of the Corporation nor the names of the
+// contributors may be used to endorse or promote products derived from
+// this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
+// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Questions? Contact lead developers:
+//              Drew Kouri   (dpkouri@sandia.gov) and
+//              Denis Ridzal (dridzal@sandia.gov)
+//
+// ************************************************************************
+// @HEADER
+
+#ifndef ROL_OBJSUM_H
+#define ROL_OBJSUM_H
+
+#include "misfit_robj.hpp"
+
+template <class Real>
+class Sum_Objective : public ROL::Objective<Real> {
+private:
+  const ROL::Ptr<ROL::Objective<Real>> misfit_, penalty_, binary_;
+
+  ROL::Ptr<ROL::Vector<Real>> xdual_;
+  bool initialized_;
+
+  const ROL::Ptr<std::ostream> stream_;
+  const bool printToStream_;
+
+  Real misCost_, penCost_, binCost_;
+
+public:
+  Sum_Objective(const ROL::Ptr<FEMdata<Real>> &fem_,
+                const ROL::Ptr<ROL::Objective<Real>> &pen,
+                const ROL::Ptr<ROL::Objective<Real>> &bin,
+                ROL::ParameterList &list,
+                ROL::Ptr<std::ostream> &stream = ROL::nullPtr,
+                bool printToStream = false)
+    : misfit_(ROL::makePtr<Misfit_Objective<Real>>(fem_,list)),
+      penalty_(pen), binary_(bin),
+      xdual_(ROL::nullPtr), initialized_(false),
+      stream_(stream), printToStream_(printToStream) {
+    misCost_ = list.sublist("Problem").get("State Cost",       1.0);
+    penCost_ = list.sublist("Problem").get("Control Cost",     1.0);
+    binCost_ = list.sublist("Problem").get("Integrality Cost", 1.0);
+  }
+
+  void update(const ROL::Vector<Real> &x, bool flag = true, int iter = -1) {
+    misfit_->update(x,flag,iter);
+    penalty_->update(x,flag,iter);
+    binary_->update(x,flag,iter);
+  }
+
+  Real value( const ROL::Vector<Real> &x, Real &tol ) {
+    Real misfit  = misfit_->value(x,tol);
+    Real penalty = penalty_->value(x,tol);
+    Real binary  = binary_->value(x,tol);
+    if (printToStream_) {
+      *stream_ << "Unscaled: "
+               << "Misfit Value = "  << misfit  << "  "
+               << "Penalty Value = " << penalty << "  "
+               << "Binary Value = "  << binary  << std::endl;
+      *stream_ << "Scaled:   "
+               << "Misfit Value = "  << misCost_*misfit  << "  "
+               << "Penalty Value = " << penCost_*penalty << "  "
+               << "Binary Value = "  << binCost_*binary  << std::endl;
+    }
+    return misCost_*misfit + penCost_*penalty + binCost_*binary;
+  }
+
+  void gradient( ROL::Vector<Real> &g, const ROL::Vector<Real> &x, Real &tol ) {
+    if (!initialized_) {
+      xdual_ = g.clone();
+      initialized_ = true;
+    }
+    misfit_->gradient(g,x,tol);
+    g.scale(misCost_);
+    penalty_->gradient(*xdual_,x,tol);
+    g.axpy(penCost_,*xdual_);
+    binary_->gradient(*xdual_,x,tol);
+    g.axpy(binCost_,*xdual_);
+  }
+
+  void hessVec( ROL::Vector<Real> &hv, const ROL::Vector<Real> &v, const ROL::Vector<Real> &x, Real &tol ) {
+    if (!initialized_) {
+      xdual_ = hv.clone();
+      initialized_ = true;
+    }
+    misfit_->hessVec(hv,v,x,tol);
+    hv.scale(misCost_);
+    penalty_->hessVec(*xdual_,v,x,tol);
+    hv.axpy(penCost_,*xdual_);
+    binary_->hessVec(*xdual_,v,x,tol);
+    hv.axpy(binCost_,*xdual_);
+  }
+
+}; // class Sum_Objective
+
+#endif
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
index abec69eaf42a..fa7ab44082c0 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
@@ -49,117 +49,99 @@
 #include "ROL_Reduced_Objective_SimOpt.hpp"
 #include "ROL_OptimizationProblemFactory.hpp"
 
-#include "../../TOOLS/linearpdeconstraint.hpp"
 #include "../../TOOLS/pdeobjective.hpp"
 #include "../../TOOLS/pdevector.hpp"
-#include "pde_adv_diff.hpp"
-#include "qoi_adv_diff.hpp"
-#include "mesh_adv_diff.hpp"
+#include "objsum.hpp"
 
 template<class Real>
 class BinaryAdvDiffFactory : public ROL::OptimizationProblemFactory<Real> {
 private:
   int dim_;
 
-  ROL::ParameterList pl_;
+  mutable ROL::ParameterList pl_;
   ROL::Ptr<const Teuchos::Comm<int>> comm_;
   ROL::Ptr<std::ostream> os_;
 
-  ROL::Ptr<MeshManager_adv_diff<Real>>  mesh_;
-  ROL::Ptr<PDE_adv_diff<Real>>          pde_;
-  ROL::Ptr<Linear_PDE_Constraint<Real>> con_;
-  ROL::Ptr<ROL::Objective_SimOpt<Real>> obj_;
-  ROL::Ptr<ROL::Objective<Real>>        robj_;
-  ROL::Ptr<Assembler<Real>>             assembler_;
-  ROL::Ptr<ROL::Vector<Real>>           u_, z_, p_;
+  ROL::Ptr<FEMdata<Real>>        fem_;
+  ROL::Ptr<Assembler<Real>>      assembler_;
+  ROL::Ptr<ROL::Objective<Real>> penalty_, binary_;
+  ROL::Ptr<ROL::Vector<Real>>    z_;
+  ROL::Ptr<ROL::BoundConstraint<Real>> bnd_;  
 
 public:
   BinaryAdvDiffFactory(ROL::ParameterList                 &pl,
                  const ROL::Ptr<const Teuchos::Comm<int>> &comm,
                  const ROL::Ptr<std::ostream>             &os)
     : pl_(pl), comm_(comm), os_(os) {
-    mesh_      = ROL::makePtr<MeshManager_adv_diff<Real>>(pl_);
-    pde_       = ROL::makePtr<PDE_adv_diff<Real>>(pl_);
-    con_       = ROL::makePtr<Linear_PDE_Constraint<Real>>(pde_,mesh_,comm_,pl_,*os_);
-    assembler_ = con_->getAssembler();
+    fem_        = ROL::makePtr<FEMdata<Real>>(comm,pl_,*os_);
+    assembler_  = fem_->getAssembler();
 
     std::string costType = pl_.sublist("Problem").get("Control Cost Type", "TV");
-    Real stateCost   = pl_.sublist("Problem").get("State Cost",       1.0);
-    Real controlCost = pl_.sublist("Problem").get("Control Cost",     1.0);
-    Real intCost     = pl_.sublist("Problem").get("Integrality Cost", 1.0);
-    std::vector<Real> wts = {stateCost, controlCost, intCost};
-    std::vector<ROL::Ptr<QoI<Real>>> qoi_vec(3,ROL::nullPtr);
-    qoi_vec[0] = ROL::makePtr<QoI_State_Cost_adv_diff<Real>>(pde_->getFE(),pl_);
+    std::vector<ROL::Ptr<QoI<Real>>> qoi_pen(2,ROL::nullPtr);
     if (costType=="TV") {
-      qoi_vec[1] = ROL::makePtr<QoI_TVControl_Cost_adv_diff<Real>>(pde_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_TVControl_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
     }
     else if (costType=="L1") {
-      qoi_vec[1] = ROL::makePtr<QoI_Control_Cost_adv_diff<Real>>(pde_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
     }
     else {
-      qoi_vec[1] = ROL::makePtr<QoI_Control_Cost_L2_adv_diff<Real>>(pde_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_L2_adv_diff<Real>>(fem_->getFE(),pl_);
     }
-    qoi_vec[2] = ROL::makePtr<QoI_IntegralityControl_Cost_adv_diff<Real>>(pde_->getFE(),pl_);
-    obj_  = ROL::makePtr<PDE_Objective<Real>>(qoi_vec, wts, assembler_);
-  }
-
-  void update(void) {
+    qoi_pen[1] = ROL::makePtr<QoI_IntegralityControl_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
+    penalty_ = ROL::makePtr<IntegralOptObjective<Real>>(qoi_pen[0],assembler_);
+    binary_  = ROL::makePtr<IntegralOptObjective<Real>>(qoi_pen[1],assembler_);
+    // Create template control vector
     bool usePC = pl_.sublist("Problem").get("Piecewise Constant Controls", true);
-    int  order = pl_.sublist("Problem").get("Hilbert Curve Order", 2);
-    int      n = std::pow(2,order);
-    ROL::Ptr<Tpetra::MultiVector<>> u_ptr, p_ptr, r_ptr, z_ptr;
-    u_ptr = assembler_->createStateVector();
-    p_ptr = assembler_->createStateVector();
-    ROL::Ptr<ROL::Vector<Real>> up, pp, zp;
-    u_ = ROL::makePtr<PDE_PrimalSimVector<Real>>(u_ptr,pde_,assembler_,pl_);
-    p_ = ROL::makePtr<PDE_PrimalSimVector<Real>>(p_ptr,pde_,assembler_,pl_);
     if (usePC) {
-      Real XL  = pl_.sublist("Geometry").get("X0", 0.0);
-      Real YL  = pl_.sublist("Geometry").get("Y0", 0.0);
-      Real XU  = XL + pl_.sublist("Geometry").get("Width",  2.0);
-      Real YU  = YL + pl_.sublist("Geometry").get("Height", 1.0);
-      Real vol = (XU-XL)/static_cast<Real>(n) * (YU-YL)/static_cast<Real>(n);
+      int nx = pl_.sublist("Problem").get("Number of X-Cells", 4);
+      int ny = pl_.sublist("Problem").get("Number of Y-Cells", 2);
+      Real width  = pl_.sublist("Geometry").get("Width",  2.0);
+      Real height = pl_.sublist("Geometry").get("Height", 1.0);
+      Real vol = width/static_cast<Real>(nx) * height/static_cast<Real>(ny);
       ROL::Ptr<std::vector<Real>> xvec, svec;
-      xvec = ROL::makePtr<std::vector<Real>>(n*n,0);
-      svec = ROL::makePtr<std::vector<Real>>(n*n,vol);
+      xvec = ROL::makePtr<std::vector<Real>>(nx*ny,0);
+      svec = ROL::makePtr<std::vector<Real>>(nx*ny,vol);
       std::ifstream file;
       std::stringstream name;
-      name << "control_" << order << ".txt";
-      Real val(0), zero(0), half(0.5), one(1);
+      name << "control_" << nx << "_" << ny << ".txt";
       file.open(name.str());
       if (file.is_open()) {
-        for (int i = 0; i < n; ++i) {
-          for (int j = 0; j < n; ++j) {
-            file >> val;
-            (*xvec)[i+j*n] = (val < half ? zero : one);
+        for (int i = 0; i < nx; ++i) {
+          for (int j = 0; j < ny; ++j) {
+            file >> (*xvec)[i+j*nx];
           }
         }
       }
       file.close();
-      ROL::Ptr<ROL::StdVector<Real>> xstd = ROL::makePtr<ROL::PrimalScaledStdVector<Real>>(xvec,svec);
-      z_ = ROL::makePtr<PDE_OptVector<Real>>(xstd);
+      z_ = ROL::makePtr<ROL::PrimalScaledStdVector<Real>>(xvec,svec);
     }
     else {
-      z_ptr = assembler_->createControlVector();
-      z_ = ROL::makePtr<PDE_PrimalOptVector<Real>>(z_ptr,pde_,assembler_,pl_);
+      z_ = fem_->createControlVector(pl_);
     }
-    bool storage     = pl_.sublist("Problem").get("Use Storage",     true);
-    robj_ = ROL::makePtr<ROL::Reduced_Objective_SimOpt<Real>>(obj_, con_, u_, z_, p_, storage, false);
+    // Create bound constraint
+    ROL::Ptr<ROL::Vector<Real>> zlop = z_->clone(), zhip = z_->clone();
+    zlop->setScalar(static_cast<Real>(0));
+    zhip->setScalar(static_cast<Real>(1));
+    bnd_ = ROL::makePtr<ROL::Bounds<Real>>(zlop,zhip);
   }
 
+  void update(void) {}
+
   ROL::Ptr<ROL::Objective<Real>> buildObjective(void) {
-    return robj_;
+    return ROL::makePtr<Sum_Objective<Real>>(fem_,penalty_,binary_,pl_,os_,true);
   }
 
   ROL::Ptr<ROL::Vector<Real>> buildSolutionVector(void) {
-    return z_;
+    ROL::Ptr<ROL::Vector<Real>> z = z_->clone(); z->set(*z_);
+    return z;
   }
 
   ROL::Ptr<ROL::BoundConstraint<Real>> buildBoundConstraint(void) {
-    ROL::Ptr<ROL::Vector<Real>> zlop = z_->clone(), zhip = z_->clone();
-    zlop->setScalar(static_cast<Real>(0));
-    zhip->setScalar(static_cast<Real>(1));
-    return ROL::makePtr<ROL::Bounds<Real>>(zlop,zhip);
+    return bnd_;
+    //ROL::Ptr<ROL::Vector<Real>> zlop = z_->clone(), zhip = z_->clone();
+    //zlop->setScalar(static_cast<Real>(0));
+    //zhip->setScalar(static_cast<Real>(1));
+    //return ROL::makePtr<ROL::Bounds<Real>>(zlop,zhip);
     //return ROL::nullPtr;
   }
 
@@ -184,10 +166,9 @@ class BinaryAdvDiffFactory : public ROL::OptimizationProblemFactory<Real> {
   }
 
   void getState(ROL::Ptr<ROL::Vector<Real>> &u, const ROL::Ptr<ROL::Vector<Real>> &z) const {
-    Real tol = std::sqrt(ROL::ROL_EPSILON<Real>());
-    u = u_->clone();
-    ROL::Ptr<ROL::Vector<Real>> r = u_->dual().clone();
-    con_->solve(*r, *u, *z, tol);
+    u = fem_->createStateVector(pl_);
+    Misfit_Objective<Real> obj(fem_,pl_);
+    obj.solvePDE(*u,*z);
   }
 
   ROL::Ptr<Assembler<Real>> getAssembler(void) const {
@@ -195,50 +176,19 @@ class BinaryAdvDiffFactory : public ROL::OptimizationProblemFactory<Real> {
   }
 
   void print(std::ostream &stream = std::cout) {
-    Real tol = std::sqrt(ROL::ROL_EPSILON<Real>());
-    ROL::Ptr<ROL::Vector<Real>> r = u_->dual().clone();
-    con_->solve(*r,*u_,*z_,tol);
-    assembler_->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<Real>>(u_)->getVector(),"state.txt");
-    bool usePC = pl_.sublist("Problem").get("Piecewise Constant Controls", true);
-    if (usePC) {
-      std::ofstream zfile;
-      zfile.open("control.txt");
-      ROL::Ptr<std::vector<Real>> zvec
-        = ROL::dynamicPtrCast<PDE_OptVector<Real>>(z_)->getParameter()->getVector();
-      for (unsigned i = 0; i < zvec->size(); ++i) {
-        zfile << (*zvec)[i] << std::endl;
-      }
-      zfile.close();
-      pde_->print();
-    }
-    else {
-      assembler_->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<Real>>(z_)->getVector(),"control.txt");
-    }
     assembler_->printMeshData(stream);
   }
 
   void check(std::ostream &stream = std::cout) {
-    update();
-    ROL::Ptr<ROL::Vector<Real>> r1 = u_->dual().clone(); r1->randomize();
-    ROL::Ptr<ROL::Vector<Real>> u1 = u_->clone();        u1->randomize();
-    ROL::Ptr<ROL::Vector<Real>> u2 = u_->clone();        u2->randomize();
-    ROL::Ptr<ROL::Vector<Real>> z1 = z_->clone();        z1->randomize();
-    ROL::Ptr<ROL::Vector<Real>> z2 = z_->clone();        z2->randomize();
-    con_->checkSolve(*u1,*z1,*r1,true,stream);
-    con_->checkApplyJacobian_1(*u1,*z1,*u2,*r1,true,stream);
-    con_->checkApplyJacobian_2(*u1,*z1,*z2,*r1,true,stream);
-    con_->checkApplyAdjointHessian_11(*u1,*z1,*u1,*u2,*r1,true,stream);
-    con_->checkApplyAdjointHessian_12(*u1,*z1,*u1,*u2,*z1,true,stream);
-    con_->checkApplyAdjointHessian_21(*u1,*z1,*u1,*z2,*r1,true,stream);
-    con_->checkApplyAdjointHessian_22(*u1,*z1,*u1,*z2,*z1,true,stream);
-    obj_->checkGradient_1(*u1,*z1,*u2,true,stream);
-    obj_->checkGradient_2(*u1,*z1,*z2,true,stream);
-    obj_->checkHessVec_11(*u1,*z1,*u2,true,stream);
-    obj_->checkHessVec_12(*u1,*z1,*z2,true,stream);
-    obj_->checkHessVec_21(*u1,*z1,*u2,true,stream);
-    obj_->checkHessVec_22(*u1,*z1,*z2,true,stream);
-    robj_->checkGradient(*z1,*z2,true,stream);
-    robj_->checkHessVec(*z1,*z2,true,stream);
+    ROL::Ptr<ROL::Vector<Real>> z1 = z_->clone(); z1->randomize();
+    ROL::Ptr<ROL::Vector<Real>> z2 = z_->clone(); z2->randomize();
+    penalty_->checkGradient(*z1,*z2,true,stream);
+    penalty_->checkHessVec(*z1,*z2,true,stream);
+    binary_->checkGradient(*z1,*z2,true,stream);
+    binary_->checkHessVec(*z1,*z2,true,stream);
+    Misfit_Objective<Real> obj(fem_,pl_);
+    obj.checkGradient(*z1,*z2,true,stream);
+    obj.checkHessVec(*z1,*z2,true,stream);
   }
 };
 
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
index 14511c4213fb..0ef1e2a03dec 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
@@ -50,7 +50,6 @@
 
 #include "../../TOOLS/pde.hpp"
 #include "../../TOOLS/fe.hpp"
-#include "hilbert.hpp"
 
 #include "Intrepid_HGRAD_QUAD_C1_FEM.hpp"
 #include "Intrepid_HGRAD_QUAD_C2_FEM.hpp"
@@ -82,9 +81,8 @@ class PDE_adv_diff : public PDE<Real> {
   // Indexing:  [sideset number][local side id](cell number, value at dof)
   std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> bdryCellDofValues_;
 
-  int order_;
+  int nx_, ny_;
   Real XL_, XU_, YL_, YU_;
-  std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> ctrl_wts_;
   bool usePC_;
 
 public:
@@ -115,7 +113,8 @@ class PDE_adv_diff : public PDE<Real> {
     Intrepid::DefaultCubatureFactory<Real> cubFactory;                       // create cubature factory
     cellCub_ = cubFactory.create(cellType, cubDegree);                       // create default cubature
 
-    order_ = parlist.sublist("Problem").get("Hilbert Curve Order", 2);
+    nx_ = parlist.sublist("Problem").get("Number of X-Cells", 4);
+    ny_ = parlist.sublist("Problem").get("Number of Y-Cells", 2);
     XL_ = parlist.sublist("Geometry").get("X0", 0.0);
     YL_ = parlist.sublist("Geometry").get("Y0", 0.0);
     XU_ = XL_ + parlist.sublist("Geometry").get("Width",  2.0);
@@ -123,16 +122,6 @@ class PDE_adv_diff : public PDE<Real> {
     usePC_ = parlist.sublist("Problem").get("Piecewise Constant Controls", true);
   }
 
-//  PDE_adv_diff(const PDE_adv_diff &rpde)
-//    : basisPtr_(rpde.basisPtr_), basisPtrs_(rpde.basisPtrs_),
-//      cellCub_(rpde.cellCub_), volCellNodes_(rpde.volCellNodes_),
-//      bdryCellNodes_(rpde.bdryCellNodes_),
-//      bdryCellLocIds_(rpde.bdryCellLocIds_),
-//      fe_vol_(rpde.fe_vol_), fidx_(rpde.fidx_),
-//      bdryCellDofValues_(rpde.bdryCellDofValues_),
-//      order_(rpde.order_), XL_(rpde.XL_), XU_(rpde.XU_), YL(rpde.YL_),
-//      YU_(rpde.YU_), ctrl_wts_(rpde.ctrl_wts_), usePC_(rpde.usePC_) {}
-
   void residual(ROL::Ptr<Intrepid::FieldContainer<Real>> & res,
                 const ROL::Ptr<const Intrepid::FieldContainer<Real>> & u_coeff,
                 const ROL::Ptr<const Intrepid::FieldContainer<Real>> & z_coeff = ROL::nullPtr,
@@ -183,15 +172,11 @@ class PDE_adv_diff : public PDE<Real> {
                                                     Intrepid::COMP_CPP, true);
     }
     else {
-      int n = std::pow(2,order_);
-      for (int i = 0; i < n*n; ++i) {
-        *valZ_eval = *ctrl_wts_[i];
-        Intrepid::RealSpaceTools<Real>::scale(*valZ_eval,-(*z_param)[i]);
-        Intrepid::FunctionSpaceTools::integrate<Real>(*res,
-                                                      *valZ_eval,
-                                                      *fe_vol_->NdetJ(),
-                                                      Intrepid::COMP_CPP, true);
-      }
+      addControlOperator(valZ_eval,z_param);
+      Intrepid::FunctionSpaceTools::integrate<Real>(*res,
+                                                    *valZ_eval,
+                                                    *fe_vol_->NdetJ(),
+                                                    Intrepid::COMP_CPP, true);
     }
     // APPLY DIRICHLET CONDITIONS
     int numLocalSideIds = bdryCellLocIds_[0].size();
@@ -306,25 +291,29 @@ class PDE_adv_diff : public PDE<Real> {
       int f = fe_vol_->gradN()->dimension(1);
       int p = fe_vol_->gradN()->dimension(2);
       // ADD CONTROL TERM TO RESIDUAL
-      int n = std::pow(2,order_);
       ROL::Ptr<Intrepid::FieldContainer<Real>> ctrl
         = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
-      for (int i = 0; i < n*n; ++i) {
-        jac[i] = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f);
-        Intrepid::FunctionSpaceTools::integrate<Real>(*jac[i],
-                                                      *ctrl_wts_[i],
-                                                      *fe_vol_->NdetJ(),
-                                                      Intrepid::COMP_CPP, false);
-        Intrepid::RealSpaceTools<Real>::scale(*jac[i],static_cast<Real>(-1));
-        // APPLY DIRICHLET CONDITIONS
-        int numLocalSideIds = bdryCellLocIds_[0].size();
-        for (int j = 0; j < numLocalSideIds; ++j) {
-          int numCellsSide = bdryCellLocIds_[0][j].size();
-          int numBdryDofs = fidx_[j].size();
-          for (int k = 0; k < numCellsSide; ++k) {
-            int cidx = bdryCellLocIds_[0][j][k];
-            for (int l = 0; l < numBdryDofs; ++l) {
-              (*(jac[i]))(cidx,fidx_[j][l]) = static_cast<Real>(0);
+      ROL::Ptr<Intrepid::FieldContainer<Real>> B
+        = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
+      for (int i = 0; i < nx_; ++i) {
+        for (int j = 0; j < ny_; ++j) {
+          int ind = i + j*nx_;
+          jac[ind] = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f);
+          addControlJaobian(B,i,j);
+          Intrepid::FunctionSpaceTools::integrate<Real>(*jac[ind],
+                                                        *B,
+                                                        *fe_vol_->NdetJ(),
+                                                        Intrepid::COMP_CPP, false);
+          // APPLY DIRICHLET CONDITIONS
+          int numLocalSideIds = bdryCellLocIds_[0].size();
+          for (int k = 0; k < numLocalSideIds; ++k) {
+            int numCellsSide = bdryCellLocIds_[0][k].size();
+            int numBdryDofs = fidx_[k].size();
+            for (int l = 0; l < numCellsSide; ++l) {
+              int cidx = bdryCellLocIds_[0][k][l];
+              for (int m = 0; m < numBdryDofs; ++m) {
+                (*(jac[ind]))(cidx,fidx_[k][m]) = static_cast<Real>(0);
+              }
             }
           }
         }
@@ -464,9 +453,6 @@ class PDE_adv_diff : public PDE<Real> {
         }
       }
     }
-    if (usePC_) {
-      computeControlWeights();
-    }
   }
 
   const ROL::Ptr<FE<Real>> getFE(void) const {
@@ -474,15 +460,14 @@ class PDE_adv_diff : public PDE<Real> {
   }
 
   void print(void) const {
-    int n = std::pow(2,order_);
-    int x(0), y(0);
     std::ofstream xfile, yfile;
     xfile.open("X.txt");
     yfile.open("Y.txt");
-    for (int i = 0; i < n*n; ++i) {
-      hilbert::d2xy(order_, i, x, y);
-      xfile << x << std::endl;
-      yfile << y << std::endl;
+    for (int i = 0; i < nx_; ++i) {
+      for (int j = 0; j < ny_; ++j) {
+        xfile << i << std::endl;
+        yfile << j << std::endl;
+      }
     }
     xfile.close();
     yfile.close();
@@ -526,34 +511,31 @@ class PDE_adv_diff : public PDE<Real> {
     }
   }
 
-  void computeControlWeights(void) {
+  void addControlOperator(ROL::Ptr<Intrepid::FieldContainer<Real>> &Bz,
+                          const ROL::Ptr<const std::vector<Real>> &z) const {
     // GET DIMENSIONS
     int c = fe_vol_->gradN()->dimension(0);
     int p = fe_vol_->gradN()->dimension(2);
     int d = fe_vol_->gradN()->dimension(3);
     std::vector<Real> pt(d);
     Real xl(0), xu(0), yl(0), yu(0);
-    int n = std::pow(2,order_), x(0), y(0), D(0);
-    ctrl_wts_.clear(); ctrl_wts_.resize(n*n);
-    for (int l = 0; l < n*n; ++l) {
-      ctrl_wts_[l] = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,p);
-      ctrl_wts_[l]->initialize();
-    }
+    Bz->initialize();
     for (int i = 0; i < c; ++i) {
       for (int j = 0; j < p; ++j) {
         for ( int k = 0; k < d; ++k) {
           pt[k] = (*fe_vol_->cubPts())(i,j,k);
         }
-        for (int l = 0; l < n; ++l) {
-          for (int m = 0; m < n; ++m) {
-            hilbert::xy2d(order_,l,m,D);
-            D = l + m*n;
-            xl = XL_ + static_cast<Real>(l)*(XU_-XL_)/static_cast<Real>(n);
-            xu = XL_ + static_cast<Real>(l+1)*(XU_-XL_)/static_cast<Real>(n);
-            yl = YL_ + static_cast<Real>(m)*(YU_-YL_)/static_cast<Real>(n);
-            yu = YL_ + static_cast<Real>(m+1)*(YU_-YL_)/static_cast<Real>(n);
-            if ( (pt[0] < xu && pt[0] >= xl) && (pt[1] < yu && pt[1] >= yl) ) {
-              (*ctrl_wts_[D])(i,j) = static_cast<Real>(1);
+        for (int l = 0; l < nx_; ++l) {
+          xl = XL_ + static_cast<Real>(l)*(XU_-XL_)/static_cast<Real>(nx_);
+          xu = XL_ + static_cast<Real>(l+1)*(XU_-XL_)/static_cast<Real>(nx_);
+          if ( pt[0] < xu && pt[0] >= xl ) {
+            for (int m = 0; m < ny_; ++m) {
+              int ind = l + m*nx_;
+              yl = YL_ + static_cast<Real>(m)*(YU_-YL_)/static_cast<Real>(ny_);
+              yu = YL_ + static_cast<Real>(m+1)*(YU_-YL_)/static_cast<Real>(ny_);
+              if ( pt[1] < yu && pt[1] >= yl ) {
+                (*Bz)(i,j) -= (*z)[ind];
+              }
             }
           }
         }
@@ -561,6 +543,32 @@ class PDE_adv_diff : public PDE<Real> {
     }
   }
 
+  void addControlJaobian(ROL::Ptr<Intrepid::FieldContainer<Real>> &B,
+                         int l, int m) const {
+    // GET DIMENSIONS
+    int c = fe_vol_->gradN()->dimension(0);
+    int p = fe_vol_->gradN()->dimension(2);
+    int d = fe_vol_->gradN()->dimension(3);
+    std::vector<Real> pt(d);
+    Real xl(0), xu(0), yl(0), yu(0);
+    xl = XL_ + static_cast<Real>(l)*(XU_-XL_)/static_cast<Real>(nx_);
+    xu = XL_ + static_cast<Real>(l+1)*(XU_-XL_)/static_cast<Real>(nx_);
+    yl = YL_ + static_cast<Real>(m)*(YU_-YL_)/static_cast<Real>(ny_);
+    yu = YL_ + static_cast<Real>(m+1)*(YU_-YL_)/static_cast<Real>(ny_);
+    int ind = l + m*nx_;
+    B->initialize();
+    for (int i = 0; i < c; ++i) {
+      for (int j = 0; j < p; ++j) {
+        for ( int k = 0; k < d; ++k) {
+          pt[k] = (*fe_vol_->cubPts())(i,j,k);
+        }
+        if ( pt[0] < xu && pt[0] >= xl && pt[1] < yu && pt[1] >= yl ) {
+          (*B)(i,j) = static_cast<Real>(-1);
+        }
+      }
+    }
+  }
+
 }; // PDE_stoch_adv_diff
 
 #endif
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/plotPEBBL.m b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/plotPEBBL.m
new file mode 100644
index 000000000000..ed12195689f7
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/plotPEBBL.m
@@ -0,0 +1,24 @@
+function plotresultsPEBBL(nx,ny)
+
+control = load([int2str(nx),'x',int2str(ny),'.sol.txt']).';
+X       = load(['X_',int2str(nx),'_',int2str(ny),'.txt']);
+Y       = load(['Y_',int2str(nx),'_',int2str(ny),'.txt']);
+tmp = control;
+for i = 1:nx
+  for j = 1:ny
+    control(j+(i-1)*ny) = tmp(i+(j-1)*nx);
+  end
+end
+figure,
+scatter3(2*X/nx,Y/ny,control,100,control,'filled')
+view(2)
+axis equal;
+axis tight;
+box on;
+xlabel('x');
+ylabel('y');
+title('Computed controls');
+colorbar
+print('-depsc2',['control_',int2str(nx),'x',int2str(ny),'.eps']);
+
+end
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/qoi_adv_diff.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/qoi_adv_diff.hpp
index f03c596fdd5d..0c4b551e387d 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/qoi_adv_diff.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/qoi_adv_diff.hpp
@@ -60,20 +60,21 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
   std::vector<std::vector<Real>> pts_;
   std::vector<Real> vals_;
 
-  ROL::Ptr<Intrepid::FieldContainer<Real>> phi_, dphi_;
+  ROL::Ptr<Intrepid::FieldContainer<Real>> phi_, dphi_, dphi1_;
 
   Real evaluateSensor(const std::vector<Real> &pt, const int isens) const {
-    const Real two(2), pi(M_PI);
     const int d = pt.size();
-    Real dist(0), s2 = sig_*sig_, nc = std::sqrt(std::pow(two*pi*s2,static_cast<Real>(d)));
+    const Real half(0.5), two(2), pi(M_PI), dr(d);
+    Real dist(0), s2 = sig_*sig_, nc = std::pow(two*pi*s2,half*dr);
     for (int i = 0; i < d; ++i) {
       dist += std::pow(pt[i]-pts_[isens][i],two);
     }
-    return std::exp(-dist/(two*s2))/nc;
+    return std::exp(-half*dist/s2)/nc;
   }
 
   void computeSensor(ROL::Ptr<Intrepid::FieldContainer<Real>> &phi,
-                     ROL::Ptr<Intrepid::FieldContainer<Real>> &dphi) const {
+                     ROL::Ptr<Intrepid::FieldContainer<Real>> &dphi,
+                     ROL::Ptr<Intrepid::FieldContainer<Real>> &dphi1) const {
     // GET DIMENSIONS
     int c = fe_->gradN()->dimension(0);
     int p = fe_->gradN()->dimension(2);
@@ -82,6 +83,7 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
     std::vector<Real> pt(d);
     phi->initialize(static_cast<Real>(0));
     dphi->initialize(static_cast<Real>(0));
+    dphi1->initialize(static_cast<Real>(0));
     for (int i = 0; i < c; ++i) {
       for (int j = 0; j < p; ++j) {
         for ( int k = 0; k < d; ++k) {
@@ -90,8 +92,9 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
         // Compute diffusivity kappa
         for (int l = 0; l < nsens_; ++l) {
           phil = evaluateSensor(pt,l);
-          (*phi)(i,j)  += phil;
-          (*dphi)(i,j) += vals_[l]*phil;
+          (*phi)(i,j)   += phil;
+          (*dphi)(i,j)  += vals_[l]*phil;
+          (*dphi1)(i,j) += vals_[l]*std::sqrt(phil);
         }
       }
     }
@@ -120,9 +123,10 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
       }
     }
     file.close();
-    phi_  = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
-    dphi_ = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
-    computeSensor(phi_,dphi_);
+    phi_   = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
+    dphi_  = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
+    dphi1_ = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, p);
+    computeSensor(phi_,dphi_,dphi1_);
   }
 
   Real value(ROL::Ptr<Intrepid::FieldContainer<Real>> & val,
@@ -143,7 +147,7 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
     Intrepid::FunctionSpaceTools::scalarMultiplyDataData<Real>(*Usqr,*valU_eval,*valU_eval);
     // Compute squared L2-norm of diff
     fe_->computeIntegral(val,phi_,Usqr,false);
-    fe_->computeIntegral(val,dphi_,dphi_,true);
+    fe_->computeIntegral(val,dphi1_,dphi1_,true);
     Intrepid::RealSpaceTools<Real>::scale(*val,static_cast<Real>(0.5));
     fe_->computeIntegral(val0,dphi_,valU_eval,false);
     Intrepid::RealSpaceTools<Real>::subtract(*val,*val0);
@@ -188,6 +192,23 @@ class QoI_State_Cost_adv_diff : public QoI<Real> {
     throw Exception::Zero(">>> QoI_State_Cost_stoch_adv_diff::gradient_3 is zero.");
   }
 
+  void Hessian_11(ROL::Ptr<Intrepid::FieldContainer<Real>> & hess,
+                  const ROL::Ptr<const Intrepid::FieldContainer<Real>> & u_coeff,
+                  const ROL::Ptr<const Intrepid::FieldContainer<Real>> & z_coeff = ROL::nullPtr,
+                  const ROL::Ptr<const std::vector<Real>> & z_param = ROL::nullPtr) {
+    const int c = fe_->gradN()->dimension(0);
+    const int f = fe_->gradN()->dimension(1);
+    const int p = fe_->gradN()->dimension(2);
+    ROL::Ptr<Intrepid::FieldContainer<Real>> H;
+    hess      = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f, f);
+    H         = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f, p);
+    Intrepid::FunctionSpaceTools::scalarMultiplyDataField<Real>(*H, *phi_, *fe_->N());
+    Intrepid::FunctionSpaceTools::integrate<Real>(*hess,
+                                                  *H,
+                                                  *(fe_->NdetJ()),
+                                                  Intrepid::COMP_CPP, false);
+  }
+
   void HessVec_11(ROL::Ptr<Intrepid::FieldContainer<Real>> & hess,
                   const ROL::Ptr<const Intrepid::FieldContainer<Real>> & v_coeff,
                   const ROL::Ptr<const Intrepid::FieldContainer<Real>> & u_coeff,
@@ -509,13 +530,13 @@ class QoI_Control_Cost_adv_diff : public QoI<Real> {
 public:
   QoI_Control_Cost_adv_diff(const ROL::Ptr<FE<Real>> &fe,
                             ROL::ParameterList & parlist) : fe_(fe) {
-    int order = parlist.sublist("Problem").get("Hilbert Curve Order", 2);
+    int nx  = parlist.sublist("Problem").get("Number of X-Cells", 4);
+    int ny  = parlist.sublist("Problem").get("Number of Y-Cells", 2);
     Real XL = parlist.sublist("Geometry").get("X0", 0.0);
     Real YL = parlist.sublist("Geometry").get("Y0", 0.0);
     Real XU = XL + parlist.sublist("Geometry").get("Width",  1.0);
     Real YU = YL + parlist.sublist("Geometry").get("Height", 1.0);
-    int n = std::pow(2,order);
-    vol_ = (XU-XL)/static_cast<Real>(n) * (YU-YL)/static_cast<Real>(n);
+    vol_ = (XU-XL)/static_cast<Real>(nx) * (YU-YL)/static_cast<Real>(ny);
   }
 
   Real value(ROL::Ptr<Intrepid::FieldContainer<Real>> & val,
@@ -679,13 +700,13 @@ class QoI_Control_Cost_L2_adv_diff : public QoI<Real> {
 public:
   QoI_Control_Cost_L2_adv_diff(const ROL::Ptr<FE<Real>> &fe,
                                ROL::ParameterList & parlist) : fe_(fe) {
-    int order = parlist.sublist("Problem").get("Hilbert Curve Order", 2);
+    int nx  = parlist.sublist("Problem").get("Number of X-Cells", 4);
+    int ny  = parlist.sublist("Problem").get("Number of Y-Cells", 2);
     Real XL = parlist.sublist("Geometry").get("X0", 0.0);
     Real YL = parlist.sublist("Geometry").get("Y0", 0.0);
     Real XU = XL + parlist.sublist("Geometry").get("Width",  1.0);
     Real YU = YL + parlist.sublist("Geometry").get("Height", 1.0);
-    int n = std::pow(2,order);
-    vol_ = (XU-XL)/static_cast<Real>(n) * (YU-YL)/static_cast<Real>(n);
+    vol_ = (XU-XL)/static_cast<Real>(nx) * (YU-YL)/static_cast<Real>(ny);
   }
 
   Real value(ROL::Ptr<Intrepid::FieldContainer<Real>> & val,
@@ -872,19 +893,19 @@ class QoI_TVControl_Cost_adv_diff : public QoI<Real> {
 private:
   ROL::Ptr<FE<Real>> fe_;
   Real volx_,voly_, vol_, eps_;
-  int n_;
+  int nx_, ny_;
 
 public:
   QoI_TVControl_Cost_adv_diff(const ROL::Ptr<FE<Real>> &fe,
                               ROL::ParameterList & parlist) : fe_(fe) {
-    int order = parlist.sublist("Problem").get("Hilbert Curve Order", 2);
     Real XL = parlist.sublist("Geometry").get("X0", 0.0);
     Real YL = parlist.sublist("Geometry").get("Y0", 0.0);
     Real XU = XL + parlist.sublist("Geometry").get("Width",  1.0);
     Real YU = YL + parlist.sublist("Geometry").get("Height", 1.0);
-    n_    = std::pow(2,order);
-    volx_ = (XU-XL)/static_cast<Real>(n_);
-    voly_ = (YU-YL)/static_cast<Real>(n_);
+    nx_ = parlist.sublist("Problem").get("Number of X-Cells", 4);
+    ny_ = parlist.sublist("Problem").get("Number of Y-Cells", 2);
+    volx_ = (XU-XL)/static_cast<Real>(nx_);
+    voly_ = (YU-YL)/static_cast<Real>(ny_);
     vol_  = volx_*voly_;
     eps_  = parlist.sublist("Problem").get("TV Smoothing Parameter",1e-3);
   }
@@ -925,36 +946,56 @@ class QoI_TVControl_Cost_adv_diff : public QoI<Real> {
     else {
       const Real half(0.5), two(2);
       Real sum(0);
-      std::vector<Real> tmp(n_);
-      std::vector<std::vector<Real>> Dx(n_+1,tmp), Dy(n_+1,tmp);
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      std::vector<Real> tmpx(nx_), tmpy(ny_);
+      std::vector<std::vector<Real>> Dx(nx_+1,tmpy), Dy(ny_+1,tmpx);
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
-            Dx[i][j] = std::pow(-(*z_param)[i+j*n_]/volx_,two);
-            Dy[i][j] = std::pow(-(*z_param)[j+i*n_]/voly_,two);
+            Dx[i][j] = std::pow(-(*z_param)[i+j*nx_]/volx_,two);
           }
-          else if (i > 0 && i < n_) {
-            Dx[i][j] = std::pow(((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])/volx_,two);
-            Dy[i][j] = std::pow(((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])/voly_,two);
+          else if (i > 0 && i < nx_) {
+            Dx[i][j] = std::pow(((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])/volx_,two);
           }
           else {
-            Dx[i][j] = std::pow((*z_param)[(i-1)+j*n_]/volx_,two);
-            Dy[i][j] = std::pow((*z_param)[j+(i-1)*n_]/voly_,two);
+            Dx[i][j] = std::pow((*z_param)[(i-1)+j*nx_]/volx_,two);
           }
         }
       }
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            Dy[i][j] = std::pow(-(*z_param)[j+i*nx_]/voly_,two);
+          }
+          else if (i > 0 && i < ny_) {
+            Dy[i][j] = std::pow(((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])/voly_,two);
+          }
+          else {
+            Dy[i][j] = std::pow((*z_param)[j+(i-1)*nx_]/voly_,two);
+          }
+        }
+      }
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
             sum += std::sqrt(Dx[i][j]+eps_);
-            sum += std::sqrt(Dy[i][j]+eps_);
           }
-          else if (i > 0 && i < n_) {
+          else if (i > 0 && i < nx_) {
             sum += std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_);
-            sum += std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
           }
           else {
             sum += std::sqrt(half*Dx[i][j]+eps_);
+          }
+        }
+      }
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            sum += std::sqrt(Dy[i][j]+eps_);
+          }
+          else if (i > 0 && i < ny_) {
+            sum += std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
+          }
+          else {
             sum += std::sqrt(half*Dy[i][j]+eps_);
           }
         }
@@ -1021,59 +1062,77 @@ class QoI_TVControl_Cost_adv_diff : public QoI<Real> {
       const int size = z_param->size();
       std::vector<Real> g(size,static_cast<Real>(0));
       const Real half(0.5), two(2), volx2 = volx_*volx_, voly2 = voly_*voly_;
-      std::vector<Real> tmp(n_);
-      std::vector<std::vector<Real>> Dx(n_+1,tmp), Dy(n_+1,tmp);
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      std::vector<Real> tmpx(nx_), tmpy(ny_);
+      std::vector<std::vector<Real>> Dx(nx_+1,tmpy), Dy(ny_+1,tmpx);
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
-            Dx[i][j] = std::pow(-(*z_param)[i+j*n_]/volx_,two);
-            Dy[i][j] = std::pow(-(*z_param)[j+i*n_]/voly_,two);
+            Dx[i][j] = std::pow(-(*z_param)[i+j*nx_]/volx_,two);
           }
-          else if (i > 0 && i < n_) {
-            Dx[i][j] = std::pow(((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])/volx_,two);
-            Dy[i][j] = std::pow(((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])/voly_,two);
+          else if (i > 0 && i < nx_) {
+            Dx[i][j] = std::pow(((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])/volx_,two);
           }
           else {
-            Dx[i][j] = std::pow((*z_param)[(i-1)+j*n_]/volx_,two);
-            Dy[i][j] = std::pow((*z_param)[j+(i-1)*n_]/voly_,two);
+            Dx[i][j] = std::pow((*z_param)[(i-1)+j*nx_]/volx_,two);
           }
         }
       }
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            Dy[i][j] = std::pow(-(*z_param)[j+i*nx_]/voly_,two);
+          }
+          else if (i > 0 && i < ny_) {
+            Dy[i][j] = std::pow(((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])/voly_,two);
+          }
+          else {
+            Dy[i][j] = std::pow((*z_param)[j+(i-1)*nx_]/voly_,two);
+          }
+        }
+      }
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
             Real cx = (vol_/volx2)/std::sqrt(Dx[i][j]+eps_);
-            g[i+j*n_] += cx*(*z_param)[i+j*n_];
-
-            Real cy = (vol_/voly2)/std::sqrt(Dy[i][j]+eps_);
-            g[j+i*n_] += cy*(*z_param)[j+i*n_];
+            g[i+j*nx_] += cx*(*z_param)[i+j*nx_];
           }
-          else if (i > 0 && i < n_-1) {
+          else if (i > 0 && i < nx_-1) {
             Real cx = half*vol_/(volx2*std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_));
-            g[(i-1)+j*n_] -= cx*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_]);
-            g[i+j*n_]     += cx*(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_]);
-            g[(i+1)+j*n_] += cx*((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_]);
-
-            Real cy = half*vol_/(voly2*std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_));
-            g[j+(i-1)*n_] -= cy*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_]);
-            g[j+i*n_]     += cy*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_]);
-            g[j+(i+1)*n_] += cy*((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_]);
+            g[(i-1)+j*nx_] -= cx*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_]);
+            g[i+j*nx_]     += cx*(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_]);
+            g[(i+1)+j*nx_] += cx*((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_]);
           }
-          else if (i == n_-1) {
+          else if (i == nx_-1) {
             Real cx = half*vol_/(volx2*std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_));
-            g[(i-1)+j*n_] -= cx*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_]);
-            g[i+j*n_]     += cx*(two*(*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_]);
-
-            Real cy = half*vol_/(voly2*std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_));
-            g[j+(i-1)*n_] -= cy*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_]);
-            g[j+i*n_]     += cy*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_]);
+            g[(i-1)+j*nx_] -= cx*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_]);
+            g[i+j*nx_]     += cx*(two*(*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_]);
           }
-          else if (i==n_) {
+          else if (i==nx_) {
             Real cx = vol_*half/(volx2*std::sqrt(half*Dx[i][j]+eps_));
-            g[(i-1)+j*n_] += cx*(*z_param)[(i-1)+j*n_];
-
+            g[(i-1)+j*nx_] += cx*(*z_param)[(i-1)+j*nx_];
+          }
+        }
+      }
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            Real cy = (vol_/voly2)/std::sqrt(Dy[i][j]+eps_);
+            g[j+i*nx_] += cy*(*z_param)[j+i*nx_];
+          }
+          else if (i > 0 && i < ny_-1) {
+            Real cy = half*vol_/(voly2*std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_));
+            g[j+(i-1)*nx_] -= cy*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_]);
+            g[j+i*nx_]     += cy*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_]);
+            g[j+(i+1)*nx_] += cy*((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_]);
+          }
+          else if (i == ny_-1) {
+            Real cy = half*vol_/(voly2*std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_));
+            g[j+(i-1)*nx_] -= cy*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_]);
+            g[j+i*nx_]     += cy*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_]);
+          }
+          else if (i==ny_) {
             Real cy = vol_*half/(voly2*std::sqrt(half*Dy[i][j]+eps_));
-            g[j+(i-1)*n_] += cy*(*z_param)[j+(i-1)*n_];
+            g[j+(i-1)*nx_] += cy*(*z_param)[j+(i-1)*nx_];
           }
         }
       }
@@ -1197,93 +1256,111 @@ class QoI_TVControl_Cost_adv_diff : public QoI<Real> {
       const int size = z_param->size();
       std::vector<Real> h(size,static_cast<Real>(0));
       const Real half(0.5), two(2), three(3), volx2 = volx_*volx_, voly2 = voly_*voly_;
-      std::vector<Real> tmp(n_);
-      std::vector<std::vector<Real>> Dx(n_+1,tmp), Dy(n_+1,tmp);
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      std::vector<Real> tmpx(nx_), tmpy(ny_);
+      std::vector<std::vector<Real>> Dx(nx_+1,tmpy), Dy(ny_+1,tmpx);
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
-            Dx[i][j] = std::pow(-(*z_param)[i+j*n_]/volx_,two);
-            Dy[i][j] = std::pow(-(*z_param)[j+i*n_]/voly_,two);
+            Dx[i][j] = std::pow(-(*z_param)[i+j*nx_]/volx_,two);
           }
-          else if (i > 0 && i < n_) {
-            Dx[i][j] = std::pow(((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])/volx_,two);
-            Dy[i][j] = std::pow(((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])/voly_,two);
+          else if (i > 0 && i < nx_) {
+            Dx[i][j] = std::pow(((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])/volx_,two);
           }
           else {
-            Dx[i][j] = std::pow((*z_param)[(i-1)+j*n_]/volx_,two);
-            Dy[i][j] = std::pow((*z_param)[j+(i-1)*n_]/voly_,two);
+            Dx[i][j] = std::pow((*z_param)[(i-1)+j*nx_]/volx_,two);
           }
         }
       }
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            Dy[i][j] = std::pow(-(*z_param)[j+i*nx_]/voly_,two);
+          }
+          else if (i > 0 && i < ny_) {
+            Dy[i][j] = std::pow(((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])/voly_,two);
+          }
+          else {
+            Dy[i][j] = std::pow((*z_param)[j+(i-1)*nx_]/voly_,two);
+          }
+        }
+      }
+      for (int i = 0; i < nx_+1; ++i) {
+        for (int j = 0; j < ny_; ++j) {
           if (i==0) {
             Real cx1 = (vol_/volx2)/std::sqrt(Dx[i][j]+eps_);
             Real cx2 = (vol_/volx2)*(two/volx2)*(-half/std::pow(std::sqrt(Dx[i][j]+eps_),three));
-            h[i+j*n_] += (cx1+cx2*std::pow((*z_param)[i+j*n_],two))*(*v_param)[i+j*n_];
-
-            Real cy1 = (vol_/voly2)/std::sqrt(Dy[i][j]+eps_);
-            Real cy2 = (vol_/voly2)*(two/voly2)*(-half/std::pow(std::sqrt(Dy[i][j]+eps_),three));
-            h[j+i*n_] += (cy1+cy2*std::pow((*z_param)[j+i*n_],two))*(*v_param)[j+i*n_];
+            h[i+j*nx_] += (cx1+cx2*std::pow((*z_param)[i+j*nx_],two))*(*v_param)[i+j*nx_];
           }
-          else if (i > 0 && i < n_-1) {
+          else if (i > 0 && i < nx_-1) {
             Real cx1 = (half*vol_/volx2)/std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_);
             Real cx2 = (half*vol_/volx2)*(two/volx2)*(-half*half/std::pow(std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_),three));
-            h[(i-1)+j*n_] += cx2*std::pow((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_],two)*(*v_param)[(i-1)+j*n_]
-                              -cx2*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[i+j*n_]
-                              -cx2*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_])*(*v_param)[(i+1)+j*n_]
-                              -cx1*((*v_param)[i+j*n_]-(*v_param)[(i-1)+j*n_]);
-            h[i+j*n_]     += cx2*std::pow(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_],two)*(*v_param)[i+j*n_]
-                              -cx2*(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_])*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[(i-1)+j*n_]
-                              +cx2*(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_])*((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_])*(*v_param)[(i+1)+j*n_]
-                              +cx1*(two*(*v_param)[i+j*n_]-(*v_param)[(i+1)+j*n_]-(*v_param)[(i-1)+j*n_]);
-            h[(i+1)+j*n_] += cx2*std::pow((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_],two)*(*v_param)[(i+1)+j*n_]
-                              -cx2*((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_])*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[(i-1)+j*n_]
-                              +cx2*((*z_param)[(i+1)+j*n_]-(*z_param)[i+j*n_])*(two*(*z_param)[i+j*n_]-(*z_param)[(i+1)+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[i+j*n_]
-                              +cx1*((*v_param)[(i+1)+j*n_]-(*v_param)[i+j*n_]);
-
-            Real cy1 = (half*vol_/voly2)/std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
-            Real cy2 = (half*vol_/voly2)*(two/voly2)*(-half*half/std::pow(std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_),three));
-            h[j+(i-1)*n_] += cy2*std::pow((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_],two)*(*v_param)[j+(i-1)*n_]
-                              -cy2*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+i*n_]
-                              -cy2*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_])*(*v_param)[j+(i+1)*n_]
-                              -cy1*((*v_param)[j+i*n_]-(*v_param)[j+(i-1)*n_]);
-            h[j+i*n_]     += cy2*std::pow(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_],two)*(*v_param)[j+i*n_]
-                              -cy2*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_])*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+(i-1)*n_]
-                              +cy2*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_])*((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_])*(*v_param)[j+(i+1)*n_]
-                              +cy1*(two*(*v_param)[j+i*n_]-(*v_param)[j+(i+1)*n_]-(*v_param)[j+(i-1)*n_]);
-            h[j+(i+1)*n_] += cy2*std::pow((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_],two)*(*v_param)[j+(i+1)*n_]
-                              -cy2*((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_])*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+(i-1)*n_]
-                              +cy2*((*z_param)[j+(i+1)*n_]-(*z_param)[j+i*n_])*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i+1)*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+i*n_]
-                              +cy1*((*v_param)[j+(i+1)*n_]-(*v_param)[j+i*n_]);
+            h[(i-1)+j*nx_] += cx2*std::pow((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_],two)*(*v_param)[(i-1)+j*nx_]
+                              -cx2*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[i+j*nx_]
+                              -cx2*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_])*(*v_param)[(i+1)+j*nx_]
+                              -cx1*((*v_param)[i+j*nx_]-(*v_param)[(i-1)+j*nx_]);
+            h[i+j*nx_]     += cx2*std::pow(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_],two)*(*v_param)[i+j*nx_]
+                              -cx2*(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_])*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[(i-1)+j*nx_]
+                              +cx2*(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_])*((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_])*(*v_param)[(i+1)+j*nx_]
+                              +cx1*(two*(*v_param)[i+j*nx_]-(*v_param)[(i+1)+j*nx_]-(*v_param)[(i-1)+j*nx_]);
+            h[(i+1)+j*nx_] += cx2*std::pow((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_],two)*(*v_param)[(i+1)+j*nx_]
+                              -cx2*((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_])*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[(i-1)+j*nx_]
+                              +cx2*((*z_param)[(i+1)+j*nx_]-(*z_param)[i+j*nx_])*(two*(*z_param)[i+j*nx_]-(*z_param)[(i+1)+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[i+j*nx_]
+                              +cx1*((*v_param)[(i+1)+j*nx_]-(*v_param)[i+j*nx_]);
           }
-          else if (i == n_-1) {
+          else if (i == nx_-1) {
             Real cx1 = (half*vol_/volx2)/std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_);
             Real cx2 = (half*vol_/volx2)*(two/volx2)*(-half*half/std::pow(std::sqrt(half*(Dx[i][j]+Dx[i+1][j])+eps_),three));
-            h[(i-1)+j*n_] += cx2*std::pow((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_],two)*(*v_param)[(i-1)+j*n_]
-                              -cx2*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(two*(*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[i+j*n_]
-                              -cx1*((*v_param)[i+j*n_]-(*v_param)[(i-1)+j*n_]);
-            h[i+j*n_]     += cx2*std::pow(two*(*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_],two)*(*v_param)[i+j*n_]
-                              -cx2*(two*(*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*((*z_param)[i+j*n_]-(*z_param)[(i-1)+j*n_])*(*v_param)[(i-1)+j*n_]
-                              +cx1*(two*(*v_param)[i+j*n_]-(*v_param)[(i-1)+j*n_]);
-
-            Real cy1 = (half*vol_/voly2)/std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
-            Real cy2 = (half*vol_/voly2)*(two/voly2)*(-half*half/std::pow(std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_),three));
-            h[j+(i-1)*n_] += cy2*std::pow((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_],two)*(*v_param)[j+(i-1)*n_]
-                              -cy2*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+i*n_]
-                              -cy1*((*v_param)[j+i*n_]-(*v_param)[j+(i-1)*n_]);
-            h[j+i*n_]     += cy2*std::pow(two*(*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_],two)*(*v_param)[j+i*n_]
-                              -cy2*(two*(*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*((*z_param)[j+i*n_]-(*z_param)[j+(i-1)*n_])*(*v_param)[j+(i-1)*n_]
-                              +cy1*(two*(*v_param)[j+i*n_]-(*v_param)[j+(i-1)*n_]);
+            h[(i-1)+j*nx_] += cx2*std::pow((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_],two)*(*v_param)[(i-1)+j*nx_]
+                              -cx2*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(two*(*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[i+j*nx_]
+                              -cx1*((*v_param)[i+j*nx_]-(*v_param)[(i-1)+j*nx_]);
+            h[i+j*nx_]     += cx2*std::pow(two*(*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_],two)*(*v_param)[i+j*nx_]
+                              -cx2*(two*(*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*((*z_param)[i+j*nx_]-(*z_param)[(i-1)+j*nx_])*(*v_param)[(i-1)+j*nx_]
+                              +cx1*(two*(*v_param)[i+j*nx_]-(*v_param)[(i-1)+j*nx_]);
           }
-          else if (i==n_) {
+          else if (i==nx_) {
             Real cx1 = (vol_*half/volx2)/std::sqrt(half*Dx[i][j]+eps_);
             Real cx2 = (vol_*half/volx2)*(two/volx2)*(-half*half/std::pow(std::sqrt(half*Dx[i][j]+eps_),three));
-            h[(i-1)+j*n_] += (cx1+cx2*std::pow((*z_param)[(i-1)+j*n_],two))*(*v_param)[(i-1)+j*n_];
-
+            h[(i-1)+j*nx_] += (cx1+cx2*std::pow((*z_param)[(i-1)+j*nx_],two))*(*v_param)[(i-1)+j*nx_];
+          }
+        }
+      }
+      for (int i = 0; i < ny_+1; ++i) {
+        for (int j = 0; j < nx_; ++j) {
+          if (i==0) {
+            Real cy1 = (vol_/voly2)/std::sqrt(Dy[i][j]+eps_);
+            Real cy2 = (vol_/voly2)*(two/voly2)*(-half/std::pow(std::sqrt(Dy[i][j]+eps_),three));
+            h[j+i*nx_] += (cy1+cy2*std::pow((*z_param)[j+i*nx_],two))*(*v_param)[j+i*nx_];
+          }
+          else if (i > 0 && i < ny_-1) {
+            Real cy1 = (half*vol_/voly2)/std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
+            Real cy2 = (half*vol_/voly2)*(two/voly2)*(-half*half/std::pow(std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_),three));
+            h[j+(i-1)*nx_] += cy2*std::pow((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_],two)*(*v_param)[j+(i-1)*nx_]
+                              -cy2*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+i*nx_]
+                              -cy2*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_])*(*v_param)[j+(i+1)*nx_]
+                              -cy1*((*v_param)[j+i*nx_]-(*v_param)[j+(i-1)*nx_]);
+            h[j+i*nx_]     += cy2*std::pow(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_],two)*(*v_param)[j+i*nx_]
+                              -cy2*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_])*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+(i-1)*nx_]
+                              +cy2*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_])*((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_])*(*v_param)[j+(i+1)*nx_]
+                              +cy1*(two*(*v_param)[j+i*nx_]-(*v_param)[j+(i+1)*nx_]-(*v_param)[j+(i-1)*nx_]);
+            h[j+(i+1)*nx_] += cy2*std::pow((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_],two)*(*v_param)[j+(i+1)*nx_]
+                              -cy2*((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_])*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+(i-1)*nx_]
+                              +cy2*((*z_param)[j+(i+1)*nx_]-(*z_param)[j+i*nx_])*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i+1)*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+i*nx_]
+                              +cy1*((*v_param)[j+(i+1)*nx_]-(*v_param)[j+i*nx_]);
+          }
+          else if (i == ny_-1) {
+            Real cy1 = (half*vol_/voly2)/std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_);
+            Real cy2 = (half*vol_/voly2)*(two/voly2)*(-half*half/std::pow(std::sqrt(half*(Dy[i][j]+Dy[i+1][j])+eps_),three));
+            h[j+(i-1)*nx_] += cy2*std::pow((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_],two)*(*v_param)[j+(i-1)*nx_]
+                              -cy2*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+i*nx_]
+                              -cy1*((*v_param)[j+i*nx_]-(*v_param)[j+(i-1)*nx_]);
+            h[j+i*nx_]     += cy2*std::pow(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_],two)*(*v_param)[j+i*nx_]
+                              -cy2*(two*(*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*((*z_param)[j+i*nx_]-(*z_param)[j+(i-1)*nx_])*(*v_param)[j+(i-1)*nx_]
+                              +cy1*(two*(*v_param)[j+i*nx_]-(*v_param)[j+(i-1)*nx_]);
+          }
+          else if (i==ny_) {
             Real cy1 = (vol_*half/voly2)/std::sqrt(half*Dy[i][j]+eps_);
             Real cy2 = (vol_*half/voly2)*(two/voly2)*(-half*half/std::pow(std::sqrt(half*Dy[i][j]+eps_),three));
-            h[j+(i-1)*n_] += (cy1+cy2*std::pow((*z_param)[j+(i-1)*n_],two))*(*v_param)[j+(i-1)*n_];
+            h[j+(i-1)*nx_] += (cy1+cy2*std::pow((*z_param)[j+(i-1)*nx_],two))*(*v_param)[j+(i-1)*nx_];
           }
         }
       }
@@ -1298,19 +1375,19 @@ class QoI_IntegralityControl_Cost_adv_diff : public QoI<Real> {
 private:
   const ROL::Ptr<FE<Real>> fe_;
   Real volx_,voly_, vol_;
-  int n_;
+  int nx_, ny_;
 
 public:
   QoI_IntegralityControl_Cost_adv_diff(const ROL::Ptr<FE<Real>> &fe,
                                        ROL::ParameterList & parlist) : fe_(fe) {
-    int order = parlist.sublist("Problem").get("Hilbert Curve Order", 2);
     Real XL = parlist.sublist("Geometry").get("X0", 0.0);
     Real YL = parlist.sublist("Geometry").get("Y0", 0.0);
     Real XU = XL + parlist.sublist("Geometry").get("Width",  1.0);
     Real YU = YL + parlist.sublist("Geometry").get("Height", 1.0);
-    n_    = std::pow(2,order);
-    volx_ = (XU-XL)/static_cast<Real>(n_);
-    voly_ = (YU-YL)/static_cast<Real>(n_);
+    nx_ = parlist.sublist("Problem").get("Number of X-Cells", 4);
+    ny_ = parlist.sublist("Problem").get("Number of Y-Cells", 2);
+    volx_ = (XU-XL)/static_cast<Real>(nx_);
+    voly_ = (YU-YL)/static_cast<Real>(ny_);
     vol_  = volx_*voly_;
   }
 
@@ -1341,9 +1418,9 @@ class QoI_IntegralityControl_Cost_adv_diff : public QoI<Real> {
     else {
       const Real one(1);
       Real sum(0);
-      for (int i = 0; i < n_; ++i) {
-        for (int j = 0; j < n_; ++j) {
-          sum += (*z_param)[i+j*n_]*(one-(*z_param)[i+j*n_]);
+      for (int i = 0; i < nx_; ++i) {
+        for (int j = 0; j < ny_; ++j) {
+          sum += (*z_param)[i+j*nx_]*(one-(*z_param)[i+j*nx_]);
         }
       }
       val = ROL::nullPtr;
@@ -1400,9 +1477,9 @@ class QoI_IntegralityControl_Cost_adv_diff : public QoI<Real> {
       const int size = z_param->size();
       std::vector<Real> g(size,static_cast<Real>(0));
       const Real one(1), two(2);
-      for (int i = 0; i < n_; ++i) {
-        for (int j = 0; j < n_; ++j) {
-          g[i+j*n_] = vol_*(one - two*(*z_param)[i+j*n_]);
+      for (int i = 0; i < nx_; ++i) {
+        for (int j = 0; j < ny_; ++j) {
+          g[i+j*nx_] = vol_*(one - two*(*z_param)[i+j*nx_]);
         }
       }
       return g;
@@ -1505,9 +1582,9 @@ class QoI_IntegralityControl_Cost_adv_diff : public QoI<Real> {
       const int size = z_param->size();
       std::vector<Real> h(size,static_cast<Real>(0));
       const Real two(2);
-      for (int i = 0; i < n_+1; ++i) {
-        for (int j = 0; j < n_; ++j) {
-          h[i+j*n_] = -vol_*two*(*v_param)[i+j*n_];
+      for (int i = 0; i < nx_; ++i) {
+        for (int j = 0; j < ny_; ++j) {
+          h[i+j*nx_] = -vol_*two*(*v_param)[i+j*nx_];
         }
       }
       return h;
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/run.sh b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/run.sh
new file mode 100755
index 000000000000..0d9dba7a28a5
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/run.sh
@@ -0,0 +1,17 @@
+#!/bin/bash
+
+size="$1x$2"
+file="output_$1x$2.txt"
+
+sed -i '11s/.*/    <Parameter name="Number of X-Cells"           type="int"     value="'$1'"        \/>/' input_ex01.xml
+sed -i '12s/.*/    <Parameter name="Number of Y-Cells"           type="int"     value="'$2'"        \/>/' input_ex01.xml
+
+./ROL_example_PDE-OPT_binary_adv-diff-TEST_RelaxedBinary.exe --maxWallMinutes=600 --relTolerance=1e-6 $size |tee $file
+
+plot="${3:-1000}"
+if [ $plot -eq "1" ]
+then
+  matlab -nodisplay -r "plotPEBBL($1,$2); quit"; stty sane
+  epstopdf 'control_'$1'x'$2'.eps'
+  xdg-open 'control_'$1'x'$2'.pdf' &
+fi
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/sensor.txt b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/sensor.txt
index 981fa83658f3..6b3fa059d2f4 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/sensor.txt
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/sensor.txt
@@ -1,200 +1,200 @@
- 1.8699947022029133e+00  7.0518748952070021e-01  1.4808365994723680e-01
- 1.9597011176522510e+00  2.9544040106307046e-01  2.1478663829603950e-01
- 2.9951655360280416e-01  2.1262830422469059e-01  3.0927699366004689e-13
- 7.9323883172413812e-01  4.0268367313111431e-01  4.5046988026866612e-07
- 5.3219556838332949e-01  6.9781829198624723e-01  1.8263355520512689e-05
- 8.8961851620615651e-02  3.6202520212759537e-01  2.5253898327301547e-02
- 1.8681776440490663e+00  9.6613913038467114e-01  5.6495038359399265e-02
- 1.5427282363307948e+00  5.7679641113784874e-01  1.4600920991027616e-01
- 3.3279852793988329e-01  4.6967887949011278e-01  5.6697310397131405e-02
- 1.7004476067493219e+00  1.8542925345118122e-01  2.3799974287496781e-01
- 1.2682402887140682e+00  9.9228598569950477e-01  6.5367226099913106e-02
- 1.0053492387246488e-01  4.8030948394216022e-01  1.3175760923889349e-01
- 8.8552011381114371e-01  8.0027179894102707e-01  1.2442922713814103e-01
- 1.4762948795075750e+00  8.1164419509306041e-01  2.8081680283948949e-02
- 5.0845838995369830e-01  1.6391418535248969e-01  3.0442456981755711e-02
- 5.9302732279570769e-01  8.0626300302478815e-01  4.1753460654524229e-03
- 5.3703424619207629e-01  3.2057047680817186e-01  3.9140973669087857e-02
- 1.8157872232653700e+00  3.4020729596788635e-01  1.3080620799351761e-01
- 8.4470007432268179e-02  7.9755870432577014e-01  1.8900602820300437e-05
- 1.9101890408563271e-01  5.2715864757573239e-01  3.2306966277468339e-02
- 3.9644617329741028e-01  2.1163699624998733e-01  2.1010042781806890e-01
- 9.1924380847189457e-01  7.1128352445928633e-01  2.3232648033550243e-01
- 1.9012962608838100e+00  7.8741571659655984e-01  1.0546103420630777e-01
- 1.0257701988341843e+00  8.4434373808057295e-01  2.0417251300171158e-01
- 1.7365152686914263e+00  8.1695912078724175e-01  2.1924956153474992e-01
- 1.3083495992009215e+00  8.5071687918826555e-01  9.5196733342803444e-02
- 9.1302649328691965e-01  3.7273064129010103e-01  1.7125060493123277e-06
- 1.7646741149581087e+00  8.5095695411060479e-01  1.2545254841687950e-01
- 1.8172913288489787e+00  4.0193147398262608e-01  3.2448993205690373e-03
- 1.1579126568231981e+00  3.3477495637362420e-01  2.3055546532813606e-01
- 2.7777735065405507e-01  2.2108055310806396e-01  2.3913971716366830e-01
- 1.1461353598318968e-01  3.8553814383973850e-01  2.2147483143639905e-03
- 6.4983846052780514e-02  7.3138806391483113e-01  1.2564558418593053e-01
- 6.0366169719707763e-01  1.6655688608414798e-01  2.2593460301682139e-01
- 1.0690810542712614e+00  1.1201224291765066e-01  2.6537252841553466e-01
- 6.8846747350560600e-01  6.3586987155377961e-01  5.1471585717399851e-07
- 5.2298565890609527e-01  5.4024030026867442e-01  3.9425890335219337e-04
- 1.0247390383543120e-01  1.0100978611616851e-02  2.5049485545996293e-11
- 2.5957949473627284e-02  1.1741154433528678e-01  2.0974159097778897e-01
- 2.2818728694386392e-01  1.2910044836878343e-01  7.9826075004568469e-08
- 1.1328949143162514e-02  8.1384810987350109e-01  2.1179072036324764e-01
- 1.3773898327410428e+00  9.8247542157506951e-01  1.3918822729873520e-01
- 2.4933341221913929e-01  2.5510385175976635e-01  1.2042798062491644e-01
- 1.6311942997701045e+00  7.7869745415437497e-01  8.8941272339960659e-02
- 1.5891363563534173e+00  8.1153672054532944e-01  1.4703525775412174e-01
- 9.4068590741203151e-01  1.1945249521030377e-02  1.8222980635076286e-01
- 5.7155350341408617e-01  3.7883205982537249e-01  2.4518606409165193e-02
- 1.4443106993150550e+00  4.8477405450491173e-01  1.3622432648679797e-01
- 1.2096255644949760e-02  7.0982120398716253e-01  1.1991421374495136e-01
- 1.8675388949594343e+00  3.1040545863156721e-01  1.0372833967816525e-01
- 1.6537202910307975e+00  8.4992570758836283e-01  6.3197328333198952e-02
- 6.5012824400860847e-01  4.4341806179896337e-01  1.8678919994857890e-01
- 9.4824084305917911e-01  7.1086355052024430e-02  8.1795277135768951e-02
- 1.8485249148318288e+00  2.9475205000609539e-01  6.4081596918120598e-02
- 4.6476297082573392e-01  1.6954479341593487e-01  3.0948984847081999e-09
- 9.1540123047038469e-01  6.8887080067368411e-01  3.3828425034100398e-02
- 4.4330380955188575e-01  2.0616364731381731e-01  1.3917874964773413e-01
- 1.6173807015945467e+00  9.6176181418635931e-01  1.8499805725618401e-01
- 4.1006432125293424e-01  8.0877084399746457e-01  2.3638690349521782e-01
- 1.5636762400247628e+00  2.0075952772422911e-01  5.5825379245393970e-02
- 1.3848622256064562e+00  2.8776084640795863e-01  1.8705404598266967e-01
- 8.8787253880755657e-01  2.4188377135003547e-01  3.1076540564497507e-05
- 9.2825647396228872e-01  8.3573713599690236e-01  4.2685678638823841e-03
- 1.9807968357052688e+00  2.2027413160108966e-01  7.2476842024774523e-06
- 8.6389936609154327e-01  8.8995592869264084e-01  7.9304466544803692e-02
- 9.5922656823424735e-01  1.6904197377199481e-01  1.0280988686872000e-01
- 1.2419538042821392e+00  1.4670958138500279e-01  2.9335068960182942e-01
- 5.8528400306603068e-01  1.7112690467579483e-01  2.8489950881423899e-02
- 1.9161017970158998e+00  3.5776516512544099e-01  1.6296896618929968e-01
- 3.0878509053035241e-01  2.2263046704647338e-01  1.3224354846484471e-01
- 1.6573945766720937e+00  9.2300201451934960e-01  2.0302587343577022e-01
- 1.0017906278907440e+00  3.5261318667684538e-01  1.5599616045248989e-02
- 7.5219940742013636e-01  8.5527618257674209e-01  1.2584446739599814e-01
- 1.5272243194891821e-01  8.7901118722193039e-01  4.9158063445236759e-02
- 1.9819847599311675e+00  6.2065705302479124e-01  1.3399056943863877e-01
- 6.2284668998055270e-01  9.4200985130684090e-01  6.0312984204849744e-08
- 4.4328107726472377e-01  6.3534068357780993e-01  2.6009961454298475e-01
- 7.3063161661737563e-01  4.0267950444131251e-01  1.8360312065430873e-01
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+ 1.0887830935376694e+00  6.1208799335337627e-01  1.5740120554310855e-01
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+ 4.9173847918026059e-01  5.8137003281136934e-01  1.9650510272695257e-01
+ 2.3620048165381125e-01  6.9891828947486667e-01  3.2164046306594203e-02
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+ 5.3847797148799659e-01  1.5219475853955289e-01  2.9518804677912680e-02
+ 1.2252382939477320e+00  5.1177573221287931e-01  2.0467330502898470e-01
+ 3.5304215446824072e-01  3.8021746006663593e-01  2.0876912684628757e-01
+ 2.4617475635703734e-01  5.6762728085804071e-03  7.6275254967958052e-08
+ 2.3138350384246253e-01  5.8723025964673714e-01  1.3751659850946946e-01
+ 3.2443216441029499e-01  2.3643528153863569e-01  1.7662171233508443e-02
+ 4.0813198984759680e-01  9.3886066613647290e-01  3.7533420751362091e-05
+ 1.6024747466128377e+00  3.8233006445451090e-01  2.1590803425738631e-01
+ 1.3499374980818946e+00  9.5548399687370345e-01  3.4311565685376855e-02
+ 6.4440232870185365e-01  6.7002632609456025e-01  1.0395704158262002e-01
+ 1.2286748307483979e+00  1.6908491450408070e-01  1.0936347984379262e-01
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/transform.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/transform.hpp
index f2fe99487347..acfbe5a6d979 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/transform.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/transform.hpp
@@ -51,7 +51,12 @@ template <class Real>
 class PDEOPT_Transform_PEBBL : public ROL::StdTransform_PEBBL<Real> {
 private:
   ROL::Ptr<ROL::StdVector<Real>> getParameter(ROL::Vector<Real> &x) const {
-    return dynamic_cast<PDE_OptVector<Real>&>(x).getParameter();
+    try {
+      return ROL::makePtrFromRef(dynamic_cast<ROL::StdVector<Real>&>(x));
+    }
+    catch (std::exception &e) {
+      return dynamic_cast<PDE_OptVector<Real>&>(x).getParameter();
+    }
   }
 
 public:

From 9bb77d480bb8f05ca8ed78988859e782badd3144 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Wed, 22 Apr 2020 17:12:11 -0600
Subject: [PATCH 02/19] Updated assembler to allow for different control and
 state discretizations.

---
 .../rol/example/PDE-OPT/TOOLS/assembler.hpp   |  37 +-
 .../example/PDE-OPT/TOOLS/assembler_def.hpp   | 394 ++++++++++++------
 .../rol/example/PDE-OPT/TOOLS/dofmanager.hpp  |   4 +
 packages/rol/example/PDE-OPT/TOOLS/dynpde.hpp |   9 +-
 .../rol/example/PDE-OPT/TOOLS/fieldhelper.hpp | 101 +++++
 packages/rol/example/PDE-OPT/TOOLS/pde.hpp    |  20 +-
 .../example/PDE-OPT/TOOLS/pdeconstraint.hpp   |   2 +-
 7 files changed, 423 insertions(+), 144 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/TOOLS/assembler.hpp b/packages/rol/example/PDE-OPT/TOOLS/assembler.hpp
index 3709e2941a35..b3d9704a4ba2 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/assembler.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/assembler.hpp
@@ -162,11 +162,11 @@ class Assembler {
   int myRank_, numProcs_;
 
   // Set in SetBasis.
-  std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> basisPtrs_;
+  std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> basisPtrs1_, basisPtrs2_;
 
   // Set in SetDiscretization.
   ROL::Ptr<MeshManager<Real>> meshMgr_;
-  ROL::Ptr<DofManager<Real>>  dofMgr_;
+  ROL::Ptr<DofManager<Real>>  dofMgr1_, dofMgr2_;
 
   // Set in SetParallelStructure.
   int numCells_;
@@ -216,7 +216,8 @@ class Assembler {
                        Teuchos::ParameterList &parlist,
                        std::ostream &outStream = std::cout);
   void setBasis(
-         const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs,
+         const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+         const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
          Teuchos::ParameterList &parlist,
          std::ostream &outStream = std::cout);
   void setDiscretization(Teuchos::ParameterList &parlist,
@@ -237,16 +238,24 @@ class Assembler {
   Real assembleScalar(ROL::Ptr<Intrepid::FieldContainer<Real>> &val);
   void assembleFieldVector(ROL::Ptr<Tpetra::MultiVector<>> &v,
                            ROL::Ptr<Intrepid::FieldContainer<Real>> &val,
-                           ROL::Ptr<Tpetra::MultiVector<>> &vecOverlap);
+                           ROL::Ptr<Tpetra::MultiVector<>> &vecOverlap,
+                           const ROL::Ptr<DofManager<Real>> &dofMgr);
   void assembleParamVector(ROL::Ptr<std::vector<Real>> &v,
                            std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> &val);
   void assembleFieldMatrix(ROL::Ptr<Tpetra::CrsMatrix<>> &M,
-                           ROL::Ptr<Intrepid::FieldContainer<Real>> &val);
+                           ROL::Ptr<Intrepid::FieldContainer<Real>> &val,
+                           const ROL::Ptr<DofManager<Real>> &dofMgr1,
+                           const ROL::Ptr<DofManager<Real>> &dofMgr2);
   void assembleParamFieldMatrix(ROL::Ptr<Tpetra::MultiVector<>> &M,
                                 std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> &val,
-                                ROL::Ptr<Tpetra::MultiVector<>> &matOverlap);
+                                ROL::Ptr<Tpetra::MultiVector<>> &matOverlap,
+                                const ROL::Ptr<DofManager<Real>> &dofMgr);
   void assembleParamMatrix(ROL::Ptr<std::vector<std::vector<Real>>> &M,
-                           std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &val);
+                           std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &val,
+                           const ROL::Ptr<DofManager<Real>> &dofMgr);
+  void transformToFieldPattern(const ROL::Ptr<Intrepid::FieldContainer<Real>> &array,
+                               const ROL::Ptr<DofManager<Real>> &dofMgr1,
+                               const ROL::Ptr<DofManager<Real>> &dofMgr2 = ROL::nullPtr) const;
 
 public:
   // destructor
@@ -262,6 +271,19 @@ class Assembler {
           const ROL::Ptr<const Teuchos::Comm<int>> &comm,
           Teuchos::ParameterList &parlist,
           std::ostream &outStream = std::cout);
+  // Constuctor: Discretization set from ParameterList
+  Assembler(const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+          const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
+          const ROL::Ptr<const Teuchos::Comm<int>> &comm,
+          Teuchos::ParameterList &parlist,
+          std::ostream &outStream = std::cout);
+  // Constructor: Discretization set from MeshManager input
+  Assembler(const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+          const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
+          const ROL::Ptr<MeshManager<Real>> &meshMgr,
+          const ROL::Ptr<const Teuchos::Comm<int>> &comm,
+          Teuchos::ParameterList &parlist,
+          std::ostream &outStream = std::cout);
   void setCellNodes(PDE<Real> &pde) const;
   void setCellNodes(DynamicPDE<Real> &pde) const;
 
@@ -687,6 +709,7 @@ class Assembler {
   /* Accessor routines.                                                      */
   /***************************************************************************/
   const ROL::Ptr<DofManager<Real>> getDofManager(void) const;
+  const ROL::Ptr<DofManager<Real>> getDofManager2(void) const;
   Teuchos::Array<GO> getCellIds(void) const;
   /***************************************************************************/
   /* End of accessor routines.                                               */
diff --git a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
index 85b095f72e8f..27cd17badd17 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
@@ -63,7 +63,7 @@ Assembler<Real>::Assembler(
   : isJ1Transposed_(false), isJ2Transposed_(false),
     isJuoTransposed_(false), isJunTransposed_(false), isJzfTransposed_(false) {
   setCommunicator(comm,parlist,outStream);
-  setBasis(basisPtrs,parlist,outStream);
+  setBasis(basisPtrs,basisPtrs,parlist,outStream);
   setDiscretization(parlist,ROL::nullPtr,outStream);
   setParallelStructure(parlist,outStream);
   setCellNodes(outStream);
@@ -80,7 +80,41 @@ Assembler<Real>::Assembler(
   : isJ1Transposed_(false), isJ2Transposed_(false),
     isJuoTransposed_(false), isJunTransposed_(false), isJzfTransposed_(false) {
   setCommunicator(comm,parlist,outStream);
-  setBasis(basisPtrs,parlist,outStream);
+  setBasis(basisPtrs,basisPtrs,parlist,outStream);
+  setDiscretization(parlist,meshMgr,outStream);
+  setParallelStructure(parlist,outStream);
+  setCellNodes(outStream);
+}
+// Constuctor: Discretization set from ParameterList
+template<class Real>
+Assembler<Real>::Assembler(
+        const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+        const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
+        const ROL::Ptr<const Teuchos::Comm<int>> &comm,
+        Teuchos::ParameterList &parlist,
+        std::ostream &outStream)
+  : isJ1Transposed_(false), isJ2Transposed_(false),
+    isJuoTransposed_(false), isJunTransposed_(false), isJzfTransposed_(false) {
+  setCommunicator(comm,parlist,outStream);
+  setBasis(basisPtrs1,basisPtrs2,parlist,outStream);
+  setDiscretization(parlist,ROL::nullPtr,outStream);
+  setParallelStructure(parlist,outStream);
+  setCellNodes(outStream);
+}
+
+// Constructor: Discretization set from MeshManager input
+template<class Real>
+Assembler<Real>::Assembler(
+        const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+        const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
+        const ROL::Ptr<MeshManager<Real>> &meshMgr,
+        const ROL::Ptr<const Teuchos::Comm<int>> &comm,
+        Teuchos::ParameterList &parlist,
+        std::ostream &outStream)
+  : isJ1Transposed_(false), isJ2Transposed_(false),
+    isJuoTransposed_(false), isJunTransposed_(false), isJzfTransposed_(false) {
+  setCommunicator(comm,parlist,outStream);
+  setBasis(basisPtrs1,basisPtrs2,parlist,outStream);
   setDiscretization(parlist,meshMgr,outStream);
   setParallelStructure(parlist,outStream);
   setCellNodes(outStream);
@@ -89,14 +123,14 @@ Assembler<Real>::Assembler(
 template<class Real>
 void Assembler<Real>::setCellNodes(PDE<Real> &pde) const {
   // Set PDE cell nodes
-  pde.setFieldPattern(dofMgr_->getFieldPattern());
+  pde.setFieldPattern(dofMgr1_->getFieldPattern(),dofMgr2_->getFieldPattern());
   pde.setCellNodes(volCellNodes_, bdryCellNodes_, bdryCellLocIds_);
 }
 
 template<class Real>
 void Assembler<Real>::setCellNodes(DynamicPDE<Real> &pde) const {
   // Set PDE cell nodes
-  pde.setFieldPattern(dofMgr_->getFieldPattern());
+  pde.setFieldPattern(dofMgr1_->getFieldPattern(),dofMgr2_->getFieldPattern());
   pde.setCellNodes(volCellNodes_, bdryCellNodes_, bdryCellLocIds_);
 }
 
@@ -126,7 +160,7 @@ void Assembler<Real>::assemblePDEResidual(ROL::Ptr<Tpetra::MultiVector<>> &r,
   // Assemble
   ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
   pde->residual(localVal,u_coeff,z_coeff,z_param);
-  assembleFieldVector( r, localVal, pde_vecR_overlap_ );
+  assembleFieldVector( r, localVal, pde_vecR_overlap_, dofMgr1_ );
 }
 
 template<class Real>
@@ -150,7 +184,7 @@ void Assembler<Real>::assemblePDEJacobian1(ROL::Ptr<Tpetra::CrsMatrix<>> &J1,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Jacobian_1(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( J1, localVal );
+    assembleFieldMatrix( J1, localVal, dofMgr1_, dofMgr1_ );
     isJ1Transposed_ = false;
     // Output
     //Tpetra::MatrixMarket::Writer< Tpetra::CrsMatrix<>> matWriter;
@@ -185,7 +219,7 @@ void Assembler<Real>::assemblePDEJacobian2(ROL::Ptr<Tpetra::CrsMatrix<>> &J2,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Jacobian_2(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( J2, localVal );
+    assembleFieldMatrix( J2, localVal, dofMgr1_, dofMgr2_ );
     isJ2Transposed_ = false;
   }
   catch ( Exception::Zero & ez ) {
@@ -222,7 +256,7 @@ void Assembler<Real>::assemblePDEJacobian3(ROL::Ptr<Tpetra::MultiVector<>> &J3,
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Jacobian_3(localVal,u_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( J3, localVal, pde_vecJ3_overlap_ );
+      assembleParamFieldMatrix( J3, localVal, pde_vecJ3_overlap_, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assemblePDEJacobian3): Jacobian is zero.");
@@ -259,7 +293,7 @@ void Assembler<Real>::assemblePDEHessian11(ROL::Ptr<Tpetra::CrsMatrix<>> &H11,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_11(localVal,l_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H11, localVal );
+    assembleFieldMatrix( H11, localVal, dofMgr1_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assemblePDEHessian11): Hessian is zero.");
@@ -292,7 +326,7 @@ void Assembler<Real>::assemblePDEHessian12(ROL::Ptr<Tpetra::CrsMatrix<>> &H12,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_12(localVal,l_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H12, localVal );
+    assembleFieldMatrix( H12, localVal, dofMgr2_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assemblePDEHessian12): Hessian is zero.");
@@ -330,7 +364,7 @@ void Assembler<Real>::assemblePDEHessian13(ROL::Ptr<Tpetra::MultiVector<>> &H13,
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Hessian_13(localVal,l_coeff,u_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( H13, localVal, pde_vecH13_overlap_ );
+      assembleParamFieldMatrix( H13, localVal, pde_vecH13_overlap_, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assemblePDEHessian13): Hessian is zero.");
@@ -367,7 +401,7 @@ void Assembler<Real>::assemblePDEHessian21(ROL::Ptr<Tpetra::CrsMatrix<>> &H21,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_21(localVal,l_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H21, localVal );
+    assembleFieldMatrix( H21, localVal, dofMgr1_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assemblePDEHessian21): Hessian is zero.");
@@ -400,7 +434,7 @@ void Assembler<Real>::assemblePDEHessian22(ROL::Ptr<Tpetra::CrsMatrix<>> &H22,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_22(localVal,l_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H22, localVal );
+    assembleFieldMatrix( H22, localVal, dofMgr2_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assemblePDEHessian22): Hessian is zero.");
@@ -438,7 +472,7 @@ void Assembler<Real>::assemblePDEHessian23(ROL::Ptr<Tpetra::MultiVector<>> &H23,
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Hessian_23(localVal,l_coeff,u_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( H23, localVal, pde_vecH23_overlap_ );
+      assembleParamFieldMatrix( H23, localVal, pde_vecH23_overlap_, dofMgr2_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assemblePDEHessian23): Hessian is zero.");
@@ -505,7 +539,7 @@ void Assembler<Real>::assemblePDEHessian33(ROL::Ptr<std::vector<std::vector<Real
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> tmp(size,ROL::nullPtr);
       std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> localVal(size,tmp);
       pde->Hessian_33(localVal,l_coeff,u_coeff,z_coeff,z_param);
-      assembleParamMatrix( H33, localVal );
+      assembleParamMatrix( H33, localVal, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assemblePDEHessian33): Hessian is zero.");
@@ -551,7 +585,7 @@ void Assembler<Real>::assembleDynPDEResidual(ROL::Ptr<Tpetra::MultiVector<>> &r,
   // Assemble
   ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
   pde->residual(localVal,ts,uo_coeff,un_coeff,z_coeff,z_param);
-  assembleFieldVector( r, localVal, pde_vecR_overlap_ );
+  assembleFieldVector( r, localVal, pde_vecR_overlap_, dofMgr1_ );
 }
 
 template<class Real>
@@ -578,7 +612,7 @@ void Assembler<Real>::assembleDynPDEJacobian_uo(ROL::Ptr<Tpetra::CrsMatrix<>> &J
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Jacobian_uo(localVal,ts,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( J, localVal );
+    assembleFieldMatrix( J, localVal, dofMgr1_, dofMgr1_ );
     isJuoTransposed_ = false;
   }
   catch ( Exception::Zero & ez ) {
@@ -613,7 +647,7 @@ void Assembler<Real>::assembleDynPDEJacobian_un(ROL::Ptr<Tpetra::CrsMatrix<>> &J
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Jacobian_un(localVal,ts,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( J, localVal );
+    assembleFieldMatrix( J, localVal, dofMgr1_, dofMgr1_ );
     isJunTransposed_ = false;
   }
   catch ( Exception::Zero & ez ) {
@@ -648,7 +682,7 @@ void Assembler<Real>::assembleDynPDEJacobian_zf(ROL::Ptr<Tpetra::CrsMatrix<>> &J
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Jacobian_zf(localVal,ts,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( J, localVal );
+    assembleFieldMatrix( J, localVal, dofMgr1_, dofMgr2_ );
     isJzfTransposed_ = false;
   }
   catch ( Exception::Zero & ez ) {
@@ -688,7 +722,7 @@ void Assembler<Real>::assembleDynPDEJacobian_zp(ROL::Ptr<Tpetra::MultiVector<>>
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Jacobian_zp(localVal,ts,uo_coeff,un_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( J, localVal, pde_vecJ3_overlap_ );
+      assembleParamFieldMatrix( J, localVal, pde_vecJ3_overlap_, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assembleDynPDEJacobian_zp): Jacobian is zero.");
@@ -728,7 +762,7 @@ void Assembler<Real>::assembleDynPDEHessian_uo_uo(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_uo_uo(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_uo_uo): Hessian is zero.");
@@ -764,7 +798,7 @@ void Assembler<Real>::assembleDynPDEHessian_uo_un(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_uo_un(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_uo_un): Hessian is zero.");
@@ -800,7 +834,7 @@ void Assembler<Real>::assembleDynPDEHessian_uo_zf(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_uo_zf(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_uo_zf): Hessian is zero.");
@@ -841,7 +875,7 @@ void Assembler<Real>::assembleDynPDEHessian_uo_zp(ROL::Ptr<Tpetra::MultiVector<>
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Hessian_uo_zp(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( H, localVal, pde_vecH13_overlap_ );
+      assembleParamFieldMatrix( H, localVal, pde_vecH13_overlap_, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_uo_zp): Hessian is zero.");
@@ -881,7 +915,7 @@ void Assembler<Real>::assembleDynPDEHessian_un_uo(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_un_uo(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_un_uo): Hessian is zero.");
@@ -917,7 +951,7 @@ void Assembler<Real>::assembleDynPDEHessian_un_un(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_un_un(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_un_un): Hessian is zero.");
@@ -953,7 +987,7 @@ void Assembler<Real>::assembleDynPDEHessian_un_zf(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_un_zf(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr1_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_un_zf): Hessian is zero.");
@@ -994,7 +1028,7 @@ void Assembler<Real>::assembleDynPDEHessian_un_zp(ROL::Ptr<Tpetra::MultiVector<>
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Hessian_un_zp(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( H, localVal, pde_vecH13_overlap_ );
+      assembleParamFieldMatrix( H, localVal, pde_vecH13_overlap_, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_un_zp): Hessian is zero.");
@@ -1034,7 +1068,7 @@ void Assembler<Real>::assembleDynPDEHessian_zf_uo(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_zf_uo(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr2_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_zf_uo): Hessian is zero.");
@@ -1070,7 +1104,7 @@ void Assembler<Real>::assembleDynPDEHessian_zf_un(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_zf_un(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr2_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_zf_un): Hessian is zero.");
@@ -1106,7 +1140,7 @@ void Assembler<Real>::assembleDynPDEHessian_zf_zf(ROL::Ptr<Tpetra::CrsMatrix<>>
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->Hessian_zf_zf(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H, localVal );
+    assembleFieldMatrix( H, localVal, dofMgr2_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_zf_zf): Hessian is zero.");
@@ -1147,7 +1181,7 @@ void Assembler<Real>::assembleDynPDEHessian_zf_zp(ROL::Ptr<Tpetra::MultiVector<>
       // Assemble
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> localVal(size,ROL::nullPtr);
       pde->Hessian_zf_zp(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-      assembleParamFieldMatrix( H, localVal, pde_vecH23_overlap_ );
+      assembleParamFieldMatrix( H, localVal, pde_vecH23_overlap_, dofMgr2_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_zf_zp): Hessian is zero.");
@@ -1236,7 +1270,7 @@ void Assembler<Real>::assembleDynPDEHessian_zp_zp(ROL::Ptr<std::vector<std::vect
       std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> tmp(size,ROL::nullPtr);
       std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> localVal(size,tmp);
       pde->Hessian_zp_zp(localVal,ts,l_coeff,uo_coeff,un_coeff,z_coeff,z_param);
-      assembleParamMatrix( H, localVal );
+      assembleParamMatrix( H, localVal, dofMgr1_ );
     }
     catch ( Exception::Zero & ez ) {
       throw Exception::Zero(">>> (Assembler::assembleDynPDEHessian_zp_zp): Hessian is zero.");
@@ -1308,7 +1342,7 @@ void Assembler<Real>::assembleQoIGradient1(ROL::Ptr<Tpetra::MultiVector<>> &g1,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->gradient_1(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldVector( g1, localVal, qoi_vecG1_overlap_ );
+    assembleFieldVector( g1, localVal, qoi_vecG1_overlap_, dofMgr1_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIGradient1): Gradient is zero.");
@@ -1342,7 +1376,7 @@ void Assembler<Real>::assembleQoIGradient2(ROL::Ptr<Tpetra::MultiVector<>> &g2,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->gradient_2(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldVector( g2, localVal, qoi_vecG2_overlap_ );
+    assembleFieldVector( g2, localVal, qoi_vecG2_overlap_, dofMgr2_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIGradient2): Gradient is zero.");
@@ -1417,7 +1451,7 @@ void Assembler<Real>::assembleQoIHessVec11(ROL::Ptr<Tpetra::MultiVector<>> &H11,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->HessVec_11(localVal,v_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldVector( H11, localVal, qoi_vecH11_overlap_ );
+    assembleFieldVector( H11, localVal, qoi_vecH11_overlap_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessVec11): Hessian is zero.");
@@ -1453,7 +1487,7 @@ void Assembler<Real>::assembleQoIHessVec12(ROL::Ptr<Tpetra::MultiVector<>> &H12,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->HessVec_12(localVal,v_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldVector( H12, localVal, qoi_vecH12_overlap_ );
+    assembleFieldVector( H12, localVal, qoi_vecH12_overlap_, dofMgr1_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessVec12): Hessian is zero.");
@@ -1489,7 +1523,7 @@ void Assembler<Real>::assembleQoIHessVec13(ROL::Ptr<Tpetra::MultiVector<>> &H13,
       // Assemble
       ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
       qoi->HessVec_13(localVal,v,u_coeff,z_coeff,z_param);
-      assembleFieldVector( H13, localVal, qoi_vecH13_overlap_ );
+      assembleFieldVector( H13, localVal, qoi_vecH13_overlap_, dofMgr1_ );
     }
     catch (Exception::Zero &ez) {
       throw Exception::Zero(">>> (Assembler::assembleQoIHessVec13): Hessian is zero.");
@@ -1529,7 +1563,7 @@ void Assembler<Real>::assembleQoIHessVec21(ROL::Ptr<Tpetra::MultiVector<>> &H21,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->HessVec_21(localVal,v_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldVector( H21, localVal, qoi_vecH21_overlap_ );
+    assembleFieldVector( H21, localVal, qoi_vecH21_overlap_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessVec21): Hessian is zero.");
@@ -1565,7 +1599,7 @@ void Assembler<Real>::assembleQoIHessVec22(ROL::Ptr<Tpetra::MultiVector<>> &H22,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->HessVec_22(localVal,v_coeff,u_coeff,z_coeff,z_param);
-    assembleFieldVector( H22, localVal, qoi_vecH22_overlap_ );
+    assembleFieldVector( H22, localVal, qoi_vecH22_overlap_, dofMgr2_ );
   }
   catch (Exception::Zero &ez) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessVec22): Hessian is zero.");
@@ -1601,7 +1635,7 @@ void Assembler<Real>::assembleQoIHessVec23(ROL::Ptr<Tpetra::MultiVector<>> &H23,
       // Assemble
       ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
       qoi->HessVec_23(localVal,v,u_coeff,z_coeff,z_param);
-      assembleFieldVector( H23, localVal, qoi_vecH23_overlap_ );
+      assembleFieldVector( H23, localVal, qoi_vecH23_overlap_, dofMgr2_ );
     }
     catch (Exception::Zero &ez) {
       throw Exception::Zero(">>> (Assembler::assembleQoIHessVec23): Hessian is zero.");
@@ -1762,7 +1796,7 @@ void Assembler<Real>::assembleQoIHessian11(ROL::Ptr<Tpetra::CrsMatrix<>> &H11,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->Hessian_11(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H11, localVal );
+    assembleFieldMatrix( H11, localVal, dofMgr1_, dofMgr1_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessian11): Hessian is zero.");
@@ -1793,7 +1827,7 @@ void Assembler<Real>::assembleQoIHessian12(ROL::Ptr<Tpetra::CrsMatrix<>> &H12,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->Hessian_12(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H12, localVal );
+    assembleFieldMatrix( H12, localVal, dofMgr1_, dofMgr2_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessian12): Hessian is zero.");
@@ -1824,7 +1858,7 @@ void Assembler<Real>::assembleQoIHessian21(ROL::Ptr<Tpetra::CrsMatrix<>> &H21,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->Hessian_21(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H21, localVal );
+    assembleFieldMatrix( H21, localVal, dofMgr2_, dofMgr1_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessian21): Hessian is zero.");
@@ -1855,7 +1889,7 @@ void Assembler<Real>::assembleQoIHessian22(ROL::Ptr<Tpetra::CrsMatrix<>> &H22,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     qoi->Hessian_22(localVal,u_coeff,z_coeff,z_param);
-    assembleFieldMatrix( H22, localVal );
+    assembleFieldMatrix( H22, localVal, dofMgr2_, dofMgr2_ );
   }
   catch ( Exception::Zero & ez ) {
     throw Exception::Zero(">>> (Assembler::assembleQoIHessian22): Hessian is zero.");
@@ -1882,7 +1916,7 @@ void Assembler<Real>::assemblePDERieszMap1(ROL::Ptr<Tpetra::CrsMatrix<>> &R1,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->RieszMap_1(localVal);
-    assembleFieldMatrix( R1, localVal );
+    assembleFieldMatrix( R1, localVal, dofMgr1_, dofMgr1_ );
   }
   catch ( Exception::NotImplemented & eni ) {
     //throw Exception::NotImplemented(">>> (Assembler::assemblePDERieszMap1): Riesz map not implemented!");
@@ -1902,7 +1936,7 @@ void Assembler<Real>::assembleDynPDERieszMap1(ROL::Ptr<Tpetra::CrsMatrix<>> &R1,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->RieszMap_1(localVal);
-    assembleFieldMatrix( R1, localVal );
+    assembleFieldMatrix( R1, localVal, dofMgr1_, dofMgr1_ );
   }
   catch ( Exception::NotImplemented & eni ) {
     //throw Exception::NotImplemented(">>> (Assembler::assemblePDERieszMap1): Riesz map not implemented!");
@@ -1930,7 +1964,7 @@ void Assembler<Real>::assemblePDERieszMap2(ROL::Ptr<Tpetra::CrsMatrix<>> &R2,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->RieszMap_2(localVal);
-    assembleFieldMatrix( R2, localVal );
+    assembleFieldMatrix( R2, localVal, dofMgr2_, dofMgr2_ );
   }
   catch ( Exception::NotImplemented & eni ) {
     //throw Exception::NotImplemented(">>> (Assembler::assemblePDERieszMap2): Riesz map not implemented!");
@@ -1950,7 +1984,7 @@ void Assembler<Real>::assembleDynPDERieszMap2(ROL::Ptr<Tpetra::CrsMatrix<>> &R2,
     // Assemble
     ROL::Ptr<Intrepid::FieldContainer<Real>> localVal;
     pde->RieszMap_2(localVal);
-    assembleFieldMatrix( R2, localVal );
+    assembleFieldMatrix( R2, localVal, dofMgr2_, dofMgr2_ );
   }
   catch ( Exception::NotImplemented & eni ) {
     //throw Exception::NotImplemented(">>> (Assembler::assemblePDERieszMap2): Riesz map not implemented!");
@@ -1989,10 +2023,10 @@ Real Assembler<Real>::computeStateError(const ROL::Ptr<const Tpetra::MultiVector
   for (int fn = 0; fn < numFields; ++fn) {
     // create fe object for error computation
     Intrepid::DefaultCubatureFactory<Real> cubFactory;
-    shards::CellTopology cellType = basisPtrs_[fn]->getBaseCellTopology();
+    shards::CellTopology cellType = basisPtrs1_[fn]->getBaseCellTopology();
     ROL::Ptr<Intrepid::Cubature<Real>> cellCub = cubFactory.create(cellType, cubDeg);
     ROL::Ptr<FE<Real>> fe
-      = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtrs_[fn],cellCub);
+      = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtrs1_[fn],cellCub);
 
     // get dimensions
     int c = fe->gradN()->dimension(0);
@@ -2055,10 +2089,10 @@ Real Assembler<Real>::computeControlError(const ROL::Ptr<const Tpetra::MultiVect
   for (int fn = 0; fn < numFields; ++fn) {
     // create fe object for error computation
     Intrepid::DefaultCubatureFactory<Real> cubFactory;
-    shards::CellTopology cellType = basisPtrs_[fn]->getBaseCellTopology();
+    shards::CellTopology cellType = basisPtrs2_[fn]->getBaseCellTopology();
     ROL::Ptr<Intrepid::Cubature<Real>> cellCub = cubFactory.create(cellType, cubDeg);
     ROL::Ptr<FE<Real>> fe
-      = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtrs_[fn],cellCub);
+      = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtrs2_[fn],cellCub);
 
     // get dimensions
     int c = fe->gradN()->dimension(0);
@@ -2200,10 +2234,10 @@ void Assembler<Real>::serialPrintStateEdgeField(const ROL::Ptr<const Tpetra::Mul
   ROL::Ptr<Intrepid::FieldContainer<Real>> cellJacInv
     = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,p,d,d);
   ROL::Ptr<shards::CellTopology> cellTopo
-    = ROL::makePtr<shards::CellTopology>(basisPtrs_[0]->getBaseCellTopology());
+    = ROL::makePtr<shards::CellTopology>(basisPtrs1_[0]->getBaseCellTopology());
   ROL::Ptr<Intrepid::FieldContainer<Real>> valReference
     = ROL::makePtr<Intrepid::FieldContainer<Real>>(f,p,d);
-  basisPtrs_[0]->getValues(*valReference,*rx,Intrepid::OPERATOR_VALUE);
+  basisPtrs1_[0]->getValues(*valReference,*rx,Intrepid::OPERATOR_VALUE);
   ROL::Ptr<Intrepid::FieldContainer<Real>> valPhysical
     = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,f,p,d);
   Intrepid::CellTools<Real>::setJacobian(*cellJac,*rx,*volCellNodes_,*cellTopo);
@@ -2279,7 +2313,11 @@ ROL::Ptr<Tpetra::MultiVector<>> Assembler<Real>::createResidualVector(void) cons
 /***************************************************************************/
 template<class Real>
 const ROL::Ptr<DofManager<Real>> Assembler<Real>::getDofManager(void) const {
-  return dofMgr_;
+  return dofMgr1_;
+}
+template<class Real>
+const ROL::Ptr<DofManager<Real>> Assembler<Real>::getDofManager2(void) const {
+  return dofMgr2_;
 }
 
 template<class Real>
@@ -2313,10 +2351,12 @@ void Assembler<Real>::setCommunicator(const ROL::Ptr<const Teuchos::Comm<int>> &
 
 template<class Real>
 void Assembler<Real>::setBasis(
-       const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs,
+       const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs1,
+       const std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> &basisPtrs2,
        Teuchos::ParameterList &parlist,
        std::ostream &outStream) {
-  basisPtrs_ = basisPtrs;
+  basisPtrs1_ = basisPtrs1;
+  basisPtrs2_ = basisPtrs2;
   if (verbose_ && myRank_==0) {
     outStream << "Initialized PDE." << std::endl;
   }
@@ -2333,7 +2373,8 @@ void Assembler<Real>::setDiscretization(Teuchos::ParameterList &parlist,
   else {
     // Otherwise construct MeshManager objective from parameter list
   }
-  dofMgr_ = ROL::makePtr<DofManager<Real>>(meshMgr_,basisPtrs_);
+  dofMgr1_ = ROL::makePtr<DofManager<Real>>(meshMgr_,basisPtrs1_);
+  dofMgr2_ = ROL::makePtr<DofManager<Real>>(meshMgr_,basisPtrs2_);
   if (verbose_ && myRank_==0) {
     outStream << "Initialized discretization (MeshManager and DofManager)." << std::endl;
   }
@@ -2348,7 +2389,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   /****************************************************/
   // Partition the cells in the mesh.  We use a basic quasi-equinumerous partitioning,
   // where the remainder, if any, is assigned to the last processor.
-  Teuchos::Array<GO> myGlobalIds;
+  Teuchos::Array<GO> myGlobalIds1, myGlobalIds2;
   cellOffsets_.assign(numProcs_, 0);
   int totalNumCells = meshMgr_->getNumCells();
   int cellsPerProc  = totalNumCells / numProcs_;
@@ -2390,8 +2431,10 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
       break;
   }
 
-  Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
-  int numLocalDofs = cellDofs.dimension(1);
+  Intrepid::FieldContainer<int> &cellDofs1 = *(dofMgr1_->getCellDofs());
+  Intrepid::FieldContainer<int> &cellDofs2 = *(dofMgr2_->getCellDofs());
+  int numLocalDofs1 = cellDofs1.dimension(1);
+  int numLocalDofs2 = cellDofs2.dimension(1);
   if (verbose_) {
     outStream << "Cell offsets across processors: " << cellOffsets_
               << std::endl;
@@ -2402,37 +2445,46 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
     case 2:
     for (int i=0; i<numCells_; ++i) {
       myCellIds_.push_back(cellOffsets_[myRank_]+i);
-      for (int j=0; j<numLocalDofs; ++j) {
-        myGlobalIds.push_back( cellDofs(cellOffsets_[myRank_]+i,j) );
+      for (int j=0; j<numLocalDofs1; ++j) {
+        myGlobalIds1.push_back( cellDofs1(cellOffsets_[myRank_]+i,j) );
+      }
+      for (int j=0; j<numLocalDofs2; ++j) {
+        myGlobalIds2.push_back( cellDofs2(cellOffsets_[myRank_]+i,j) );
       }
     }
       break;
     case 3:
     for (int i=0; i<numCells_; ++i) {
       myCellIds_.push_back((*procCellIds)[myRank_][i]);
-      for (int j=0; j<numLocalDofs; ++j) {
-        myGlobalIds.push_back( cellDofs((*procCellIds)[myRank_][i],j) );
+      for (int j=0; j<numLocalDofs1; ++j) {
+        myGlobalIds1.push_back( cellDofs1((*procCellIds)[myRank_][i],j) );
+      }
+      for (int j=0; j<numLocalDofs2; ++j) {
+        myGlobalIds2.push_back( cellDofs2((*procCellIds)[myRank_][i],j) );
       }
     }
       break;
   }
-  std::sort(myGlobalIds.begin(), myGlobalIds.end());
-  myGlobalIds.erase( std::unique(myGlobalIds.begin(),myGlobalIds.end()),myGlobalIds.end() );
+  std::sort(myGlobalIds1.begin(), myGlobalIds1.end());
+  myGlobalIds1.erase( std::unique(myGlobalIds1.begin(),myGlobalIds1.end()),myGlobalIds1.end() );
+  std::sort(myGlobalIds2.begin(), myGlobalIds2.end());
+  myGlobalIds2.erase( std::unique(myGlobalIds2.begin(),myGlobalIds2.end()),myGlobalIds2.end() );
 
   // Build maps.
-  myOverlapStateMap_ = ROL::makePtr<Tpetra::Map<>>
-    (Teuchos::OrdinalTraits<GO>::invalid(), myGlobalIds, GO(0), comm_);
+  myOverlapStateMap_    = ROL::makePtr<Tpetra::Map<>>
+    (Teuchos::OrdinalTraits<GO>::invalid(), myGlobalIds1, GO(0), comm_);
   //std::cout << std::endl << myOverlapMap_->getNodeElementList()<<std::endl;
   /** One can also use the non-member function:
       myOverlapMap_ = Tpetra::createNonContigMap<int,int>(myGlobalIds_, comm_);
       to build the overlap map.
   **/
-  myUniqueStateMap_ = Tpetra::createOneToOne(myOverlapStateMap_);
-  //std::cout << std::endl << myUniqueMap_->getNodeElementList() << std::endl;
-  myOverlapControlMap_  = myOverlapStateMap_;
-  myUniqueControlMap_   = myUniqueStateMap_;
+  myUniqueStateMap_     = Tpetra::createOneToOne(myOverlapStateMap_);
   myOverlapResidualMap_ = myOverlapStateMap_;
   myUniqueResidualMap_  = myUniqueStateMap_;
+  myOverlapControlMap_  = ROL::makePtr<Tpetra::Map<>>
+     (Teuchos::OrdinalTraits<GO>::invalid(), myGlobalIds2, GO(0), comm_);
+  myUniqueControlMap_   = Tpetra::createOneToOne(myOverlapControlMap_);;
+  //std::cout << std::endl << myUniqueMap_->getNodeElementList() << std::endl;
   //  myCellMap_ = ROL::makePtr<Tpetra::Map<>>(
   //               Teuchos::OrdinalTraits<Tpetra::global_size_t>::invalid(),
   //               myCellIds_, 0, comm_);
@@ -2442,43 +2494,85 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   /****************************************/
 
   // Make a GO copy to interface with Tpetra; currently dof manager uses int directly
-  Teuchos::ArrayRCP<const int> cellDofsArrayRCP = cellDofs.getData();
-  Teuchos::ArrayRCP<GO> cellDofsGO(cellDofsArrayRCP.size(), GO());
-  std::copy(cellDofsArrayRCP.getRawPtr(), cellDofsArrayRCP.getRawPtr()+cellDofsArrayRCP.size(), 
-            cellDofsGO.getRawPtr());
-  Teuchos::ArrayRCP<const GO> cellDofsGOArrayRCP = cellDofsGO.getConst();
+  Teuchos::ArrayRCP<const int> cellDofs1ArrayRCP = cellDofs1.getData();
+  Teuchos::ArrayRCP<const int> cellDofs2ArrayRCP = cellDofs2.getData();
+  Teuchos::ArrayRCP<GO> cellDofs1GO(cellDofs1ArrayRCP.size(), GO());
+  Teuchos::ArrayRCP<GO> cellDofs2GO(cellDofs2ArrayRCP.size(), GO());
+  std::copy(cellDofs1ArrayRCP.getRawPtr(), cellDofs1ArrayRCP.getRawPtr()+cellDofs1ArrayRCP.size(), 
+            cellDofs1GO.getRawPtr());
+  std::copy(cellDofs2ArrayRCP.getRawPtr(), cellDofs2ArrayRCP.getRawPtr()+cellDofs2ArrayRCP.size(), 
+            cellDofs2GO.getRawPtr());
+  Teuchos::ArrayRCP<const GO> cellDofs1GOArrayRCP = cellDofs1GO.getConst();
+  Teuchos::ArrayRCP<const GO> cellDofs2GOArrayRCP = cellDofs2GO.getConst();
 
   // Estimate the max number of entries per row 
   // using a map (row indicies can be non-contiguous)
-  GO maxEntriesPerRow(0);
+  GO maxEntriesPerRow1(0), maxEntriesPerRow2(0);
   {
-    std::map<GO,GO> numEntriesCount;
-    for (int i=0; i<numCells_; ++i) 
-      for (int j=0; j<numLocalDofs; ++j) 
-        numEntriesCount[GO(cellDofs(myCellIds_[i],j))] += numLocalDofs;
-    const auto rowIndexWithMaxEntries 
-      = std::max_element(std::begin(numEntriesCount), std::end(numEntriesCount), 
+    std::map<GO,GO> numEntriesCount1, numEntriesCount2;
+    for (int i=0; i<numCells_; ++i) { 
+      for (int j=0; j<numLocalDofs1; ++j) {
+        numEntriesCount1[GO(cellDofs1(myCellIds_[i],j))] += numLocalDofs1;
+      }
+      for (int j=0; j<numLocalDofs2; ++j) {
+        numEntriesCount2[GO(cellDofs2(myCellIds_[i],j))] += numLocalDofs2;
+      }
+    }
+    const auto rowIndexWithMaxEntries1 
+      = std::max_element(std::begin(numEntriesCount1), std::end(numEntriesCount1), 
                          [](const std::pair<GO,GO> &pa, const std::pair<GO,GO> &pb) {
                            return pa.second < pb.second;
                          });
-    if (!numEntriesCount.empty())
-      maxEntriesPerRow = rowIndexWithMaxEntries->second;
+    const auto rowIndexWithMaxEntries2
+      = std::max_element(std::begin(numEntriesCount2), std::end(numEntriesCount2), 
+                         [](const std::pair<GO,GO> &pa, const std::pair<GO,GO> &pb) {
+                           return pa.second < pb.second;
+                         });
+    if (!numEntriesCount1.empty())
+      maxEntriesPerRow1 = rowIndexWithMaxEntries1->second;
+    if (!numEntriesCount2.empty())
+      maxEntriesPerRow2 = rowIndexWithMaxEntries2->second;
   }
-  matJ1Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, maxEntriesPerRow);
+
+  matJ1Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, myUniqueStateMap_, maxEntriesPerRow1);
   for (int i=0; i<numCells_; ++i) {
-    for (int j=0; j<numLocalDofs; ++j) {
-      matJ1Graph_->insertGlobalIndices(GO(cellDofs(myCellIds_[i],j)),
-        cellDofsGOArrayRCP(myCellIds_[i]*numLocalDofs, numLocalDofs));
+    for (int j=0; j<numLocalDofs1; ++j) {
+      matJ1Graph_->insertGlobalIndices(GO(cellDofs1(myCellIds_[i],j)),
+        cellDofs1GOArrayRCP(myCellIds_[i]*numLocalDofs1, numLocalDofs1));
     }
   }
-  matJ1Graph_->fillComplete();
-  matJ2Graph_  = matJ1Graph_;
+  matJ1Graph_->fillComplete(myUniqueStateMap_,myUniqueStateMap_);
   matR1Graph_  = matJ1Graph_;
-  matR2Graph_  = matJ2Graph_;
   matH11Graph_ = matJ1Graph_;
-  matH12Graph_ = matJ1Graph_;
+
+  matJ2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, myUniqueControlMap_, maxEntriesPerRow2);
+  for (int i=0; i<numCells_; ++i) {
+    for (int j=0; j<numLocalDofs1; ++j) {
+      matJ2Graph_->insertGlobalIndices(GO(cellDofs1(myCellIds_[i],j)),
+        cellDofs2GOArrayRCP(myCellIds_[i]*numLocalDofs2, numLocalDofs2));
+    }
+  }
+  matJ2Graph_->fillComplete(myUniqueControlMap_,myUniqueStateMap_);
   matH21Graph_ = matJ2Graph_;
-  matH22Graph_ = matJ2Graph_;
+
+  matH12Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, myUniqueStateMap_, maxEntriesPerRow1);
+  for (int i=0; i<numCells_; ++i) {
+    for (int j=0; j<numLocalDofs2; ++j) {
+      matH12Graph_->insertGlobalIndices(GO(cellDofs2(myCellIds_[i],j)),
+        cellDofs1GOArrayRCP(myCellIds_[i]*numLocalDofs1, numLocalDofs1));
+    }
+  }
+  matH12Graph_->fillComplete(myUniqueStateMap_,myUniqueControlMap_);
+
+  matR2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, myUniqueControlMap_, maxEntriesPerRow2);
+  for (int i=0; i<numCells_; ++i) {
+    for (int j=0; j<numLocalDofs2; ++j) {
+      matR2Graph_->insertGlobalIndices(GO(cellDofs2(myCellIds_[i],j)),
+        cellDofs2GOArrayRCP(myCellIds_[i]*numLocalDofs2, numLocalDofs2));
+    }
+  }
+  matR2Graph_->fillComplete(myUniqueControlMap_,myUniqueControlMap_);
+  matH22Graph_ = matR2Graph_;
 
   if (verbose_ && myRank_==0) {
     outStream << "Initialized parallel structures." << std::endl;
@@ -2488,7 +2582,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
 template<class Real>
 void Assembler<Real>::setCellNodes(std::ostream &outStream) {
   // Build volume cell nodes
-  shards::CellTopology cellType = basisPtrs_[0]->getBaseCellTopology();
+  shards::CellTopology cellType = basisPtrs1_[0]->getBaseCellTopology();
   int spaceDim = cellType.getDimension();
   int numNodesPerCell = cellType.getNodeCount();
   volCellNodes_ = ROL::makePtr<Intrepid::FieldContainer<Real>>(numCells_, numNodesPerCell, spaceDim);
@@ -2571,8 +2665,8 @@ void Assembler<Real>::getCoeffFromStateVector(ROL::Ptr<Intrepid::FieldContainer<
     Tpetra::Import<> importer(myUniqueStateMap_, myOverlapStateMap_);
     xshared->doImport(*x,importer,Tpetra::REPLACE);
     // Populate xcoeff
-    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
-    int lfs = dofMgr_->getLocalFieldSize();
+    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr1_->getCellDofs());
+    int lfs = dofMgr1_->getLocalFieldSize();
     xcoeff = ROL::makePtr<Intrepid::FieldContainer<Real>>(numCells_, lfs);
     Teuchos::ArrayRCP<const Real> xdata = xshared->get1dView();
     for (int i=0; i<numCells_; ++i) {
@@ -2580,7 +2674,7 @@ void Assembler<Real>::getCoeffFromStateVector(ROL::Ptr<Intrepid::FieldContainer<
         (*xcoeff)(i,j) = xdata[xshared->getMap()->getLocalElement(cellDofs(myCellIds_[i],j))];
       }
     }
-    dofMgr_->transformToIntrepidPattern(xcoeff);
+    dofMgr1_->transformToIntrepidPattern(xcoeff);
   }
   else {
     xcoeff = ROL::nullPtr;
@@ -2597,8 +2691,8 @@ void Assembler<Real>::getCoeffFromControlVector(ROL::Ptr<Intrepid::FieldContaine
     Tpetra::Import<> importer(myUniqueControlMap_, myOverlapControlMap_);
     xshared->doImport(*x,importer,Tpetra::REPLACE);
     // Populate xcoeff
-    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
-    int lfs = dofMgr_->getLocalFieldSize();
+    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr2_->getCellDofs());
+    int lfs = dofMgr2_->getLocalFieldSize();
     xcoeff = ROL::makePtr<Intrepid::FieldContainer<Real>>(numCells_, lfs);
     Teuchos::ArrayRCP<const Real> xdata = xshared->get1dView();
     for (int i=0; i<numCells_; ++i) {
@@ -2606,7 +2700,7 @@ void Assembler<Real>::getCoeffFromControlVector(ROL::Ptr<Intrepid::FieldContaine
         (*xcoeff)(i,j) = xdata[xshared->getMap()->getLocalElement(cellDofs(myCellIds_[i],j))];
       }
     }
-    dofMgr_->transformToIntrepidPattern(xcoeff);
+    dofMgr2_->transformToIntrepidPattern(xcoeff);
   }
   else {
     xcoeff = ROL::nullPtr;
@@ -2633,15 +2727,16 @@ Real Assembler<Real>::assembleScalar(ROL::Ptr<Intrepid::FieldContainer<Real>> &v
 template<class Real>
 void Assembler<Real>::assembleFieldVector(ROL::Ptr<Tpetra::MultiVector<>> &v,
                                           ROL::Ptr<Intrepid::FieldContainer<Real>> &val,
-                                          ROL::Ptr<Tpetra::MultiVector<>> &vecOverlap) {
+                                          ROL::Ptr<Tpetra::MultiVector<>> &vecOverlap,
+                                          const ROL::Ptr<DofManager<Real>> &dofMgr) {
   // Set residual vectors to zero
-  v->scale(static_cast<Real>(0));
-  vecOverlap->scale(static_cast<Real>(0));
+  v->putScalar(static_cast<Real>(0));
+  vecOverlap->putScalar(static_cast<Real>(0));
   // Get degrees of freedom
-  Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
+  Intrepid::FieldContainer<int> &cellDofs = *(dofMgr->getCellDofs());
   int numLocalDofs = cellDofs.dimension(1);
   // Transform values
-  dofMgr_->transformToFieldPattern(val);
+  transformToFieldPattern(val,dofMgr);
   // assembly on the overlap map
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs; ++j) {
@@ -2675,26 +2770,30 @@ void Assembler<Real>::assembleParamVector(ROL::Ptr<std::vector<Real>> &v,
 
 template<class Real>
 void Assembler<Real>::assembleFieldMatrix(ROL::Ptr<Tpetra::CrsMatrix<>> &M,
-                                          ROL::Ptr<Intrepid::FieldContainer<Real>> &val) {
+                                          ROL::Ptr<Intrepid::FieldContainer<Real>> &val,
+                                          const ROL::Ptr<DofManager<Real>> &dofMgr1,
+                                          const ROL::Ptr<DofManager<Real>> &dofMgr2) {
   // Transform data
-  dofMgr_->transformToFieldPattern(val);
+  transformToFieldPattern(val,dofMgr1,dofMgr2);
   // Zero PDE Jacobian
   M->resumeFill(); M->setAllToScalar(static_cast<Real>(0));
   // Assemble PDE Jacobian
-  Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
-  int numLocalDofs = cellDofs.dimension(1);
-  int numLocalMatEntries = numLocalDofs * numLocalDofs;
-  Teuchos::ArrayRCP<const int> cellDofsArrayRCP = cellDofs.getData();
-  Teuchos::ArrayRCP<GO> cellDofsGO(cellDofsArrayRCP.size(), GO());
-  std::copy(cellDofsArrayRCP.getRawPtr(), cellDofsArrayRCP.getRawPtr()+cellDofsArrayRCP.size(), 
-            cellDofsGO.getRawPtr());
-  Teuchos::ArrayRCP<const GO> cellDofsGOArrayRCP = cellDofsGO.getConst();
+  Intrepid::FieldContainer<int> &cellDofs1 = *(dofMgr1->getCellDofs());
+  Intrepid::FieldContainer<int> &cellDofs2 = *(dofMgr2->getCellDofs());
+  int numLocalDofs1 = cellDofs1.dimension(1);
+  int numLocalDofs2 = cellDofs2.dimension(1);
+  int numLocalMatEntries = numLocalDofs1 * numLocalDofs2;
+  Teuchos::ArrayRCP<const int> cellDofs2ArrayRCP = cellDofs2.getData();
+  Teuchos::ArrayRCP<GO> cellDofs2GO(cellDofs2ArrayRCP.size(), GO());
+  std::copy(cellDofs2ArrayRCP.getRawPtr(), cellDofs2ArrayRCP.getRawPtr()+cellDofs2ArrayRCP.size(), 
+            cellDofs2GO.getRawPtr());
+  Teuchos::ArrayRCP<const GO> cellDofs2GOArrayRCP = cellDofs2GO.getConst();
   Teuchos::ArrayRCP<const Real> valArrayRCP = val->getData();
   for (int i=0; i<numCells_; ++i) {
-    for (int j=0; j<numLocalDofs; ++j) {
-      M->sumIntoGlobalValues(GO(cellDofs(myCellIds_[i],j)),
-                             cellDofsGOArrayRCP(myCellIds_[i] * numLocalDofs, numLocalDofs),
-                             valArrayRCP(i*numLocalMatEntries+j*numLocalDofs, numLocalDofs));
+    for (int j=0; j<numLocalDofs1; ++j) {
+      M->sumIntoGlobalValues(GO(cellDofs1(myCellIds_[i],j)),
+                             cellDofs2GOArrayRCP(myCellIds_[i] * numLocalDofs2, numLocalDofs2),
+                             valArrayRCP(i*numLocalMatEntries+j*numLocalDofs2, numLocalDofs2));
     }
   }
   M->fillComplete();
@@ -2703,18 +2802,19 @@ void Assembler<Real>::assembleFieldMatrix(ROL::Ptr<Tpetra::CrsMatrix<>> &M,
 template<class Real>
 void Assembler<Real>::assembleParamFieldMatrix(ROL::Ptr<Tpetra::MultiVector<>> &M,
                                                std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> &val,
-                                               ROL::Ptr<Tpetra::MultiVector<>> &matOverlap) {
+                                               ROL::Ptr<Tpetra::MultiVector<>> &matOverlap,
+                                               const ROL::Ptr<DofManager<Real>> &dofMgr) {
   // Initialize res
   int size = M->getNumVectors();
   // Compute PDE local Jacobian wrt parametric controls
   for (int i = 0; i < size; ++i) {
-    dofMgr_->transformToFieldPattern(val[i]);
+    transformToFieldPattern(val[i],dofMgr);
   }
   // Assemble PDE Jacobian wrt parametric controls
   M->scale(static_cast<Real>(0));
   matOverlap->scale(static_cast<Real>(0));
   for (int k = 0; k < size; ++k) {
-    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr_->getCellDofs());
+    Intrepid::FieldContainer<int> &cellDofs = *(dofMgr->getCellDofs());
     int numLocalDofs = cellDofs.dimension(1);
     // assembly on the overlap map
     for (int i=0; i<numCells_; ++i) {
@@ -2731,14 +2831,15 @@ void Assembler<Real>::assembleParamFieldMatrix(ROL::Ptr<Tpetra::MultiVector<>> &
 
 template<class Real>
 void Assembler<Real>::assembleParamMatrix(ROL::Ptr<std::vector<std::vector<Real>>> &M,
-                                          std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &val) {
+                                          std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &val,
+                                          const ROL::Ptr<DofManager<Real>> &dofMgr) {
   // Initialize local matrix
   int size = M->size();
   std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> tmp(size,ROL::nullPtr);
   // Compute local matrix
   for (int i = 0; i < size; ++i) {
     for (int j = 0; j < size; ++j) {
-      dofMgr_->transformToFieldPattern(val[i][j]);
+      transformToFieldPattern(val[i][j],dofMgr);
     }
   }
   // Assemble PDE Jacobian wrt parametric controls
@@ -2766,4 +2867,41 @@ void Assembler<Real>::assembleParamMatrix(ROL::Ptr<std::vector<std::vector<Real>
   }
 }
 
+template<class Real>
+void Assembler<Real>::transformToFieldPattern(const ROL::Ptr<Intrepid::FieldContainer<Real>> &array,
+                                              const ROL::Ptr<DofManager<Real>> &dofMgr1,
+                                              const ROL::Ptr<DofManager<Real>> &dofMgr2) const {
+  if ( array != ROL::nullPtr ) {
+    int rank = array->rank();
+    int nc   = array->dimension(0);
+    if ( rank == 2 ) {
+      int nf = array->dimension(1);
+      Intrepid::FieldContainer<Real> tmp(nc, nf);
+      for (int c = 0; c < nc; ++c) {
+        for (int f = 0; f < nf; ++f) {
+          tmp(c, dofMgr1->mapToFieldPattern(f)) = (*array)(c, f);
+        }
+      }
+      *array = tmp;
+    }
+    else if (rank == 3 ) {
+      int nf1 = array->dimension(1);
+      int nf2 = array->dimension(2);
+      Intrepid::FieldContainer<Real> tmp(nc, nf1, nf2);
+      for (int c = 0; c < nc; ++c) {
+        for (int f1 = 0; f1 < nf1; ++f1) {
+          for (int f2 = 0; f2 < nf2; ++f2) {
+            tmp(c, dofMgr1->mapToFieldPattern(f1), dofMgr2->mapToFieldPattern(f2)) = (*array)(c, f1, f2);
+          }
+        }
+      }
+      *array = tmp;
+    }
+    else {
+      TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument,
+        ">>> PDE-OPT/TOOLS/assembler.hpp (transformToFieldPattern): Input array rank not 2 or 3!");
+    }
+  }
+}
+
 #endif
diff --git a/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp b/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
index 5e2d73cf3ef9..3903bdf15c85 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
@@ -305,6 +305,10 @@ class DofManager {
     }
   }
 
+  int mapToFieldPattern(int f) const {
+    return mapToFieldPattern_[f];
+  }
+
   void transformToFieldPattern(const ROL::Ptr<Intrepid::FieldContainer<Real> > &array) const {
     if ( array != ROL::nullPtr ) {
       int rank = array->rank();
diff --git a/packages/rol/example/PDE-OPT/TOOLS/dynpde.hpp b/packages/rol/example/PDE-OPT/TOOLS/dynpde.hpp
index 89598ad0202c..ca286d18f131 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/dynpde.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/dynpde.hpp
@@ -271,12 +271,19 @@ class DynamicPDE {
   }
 
   virtual std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields() = 0;
+  virtual std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields2() {
+    return getFields();
+  }
 
   virtual void setCellNodes(const ROL::Ptr<Intrepid::FieldContainer<Real>> &cellNodes,
                             const std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &bdryCellNodes,
                             const std::vector<std::vector<std::vector<int>>> &bdryCellLocIds) = 0;
 
-  virtual void setFieldPattern(const std::vector<std::vector<int>> & fieldPattern) {}
+  virtual void setFieldPattern(const std::vector<std::vector<int>> &fieldPattern) {}
+  virtual void setFieldPattern(const std::vector<std::vector<int>> &fieldPattern1,
+                               const std::vector<std::vector<int>> &fieldPattern2) {
+    setFieldPattern(fieldPattern1);
+  }
 
 private:
   std::vector<Real> param_;
diff --git a/packages/rol/example/PDE-OPT/TOOLS/fieldhelper.hpp b/packages/rol/example/PDE-OPT/TOOLS/fieldhelper.hpp
index 3b3a18e21358..72f8d11a833c 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/fieldhelper.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/fieldhelper.hpp
@@ -51,6 +51,107 @@
 #include "Intrepid_FieldContainer.hpp"
 #include "ROL_Ptr.hpp"
 
+namespace FieldUtils {
+
+struct FieldInfo {
+  const int numFields, numDofs;
+  const std::vector<int> numFieldDofs;
+  const std::vector<std::vector<int>> fieldPattern;
+
+  FieldInfo(const int numFields_, const int numDofs_,
+            const std::vector<int> &numFieldDofs_,
+            const std::vector<std::vector<int>> &fieldPattern_)
+    : numFields(numFields_), numDofs(numDofs_),
+      numFieldDofs(numFieldDofs_), fieldPattern(fieldPattern_) {}
+};
+
+template<typename Real>
+inline void splitFieldCoeff(std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> &U,
+                            const ROL::Ptr<const Intrepid::FieldContainer<Real>>  &u_coeff,
+                            const ROL::Ptr<const FieldInfo>                       &info) {
+  const int numFields = info->numFields;
+  U.resize(numFields);
+  const int c = u_coeff->dimension(0);
+  for (int i=0; i<numFields; ++i) {
+    const int numFieldDofs = info->numFieldDofs[i];
+    U[i] = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,numFieldDofs);
+    for (int j=0; j<c; ++j) {
+      for (int k=0; k<numFieldDofs; ++k) {
+        (*U[i])(j,k) = (*u_coeff)(j,info->fieldPattern[i][k]);
+      }
+    }
+  }
+}
+
+template<typename Real>
+inline void splitFieldCoeff(std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &J,
+                            const ROL::Ptr<const Intrepid::FieldContainer<Real>>               &jac,
+                            const ROL::Ptr<const FieldInfo>                                    &rowInfo,
+                            const ROL::Ptr<const FieldInfo>                                    &colInfo) {
+  const int rowNumFields = rowInfo->numFields;
+  const int colNumFields = colInfo->numFields;
+  J.resize(rowNumFields);
+  const int c = jac->dimension(0);
+  for (int i=0; i<rowNumFields; ++i) {
+    const int rowNumFieldDofs = rowInfo->numFieldDofs[i];
+    J[i].resize(colNumFields,ROL::nullPtr);
+    for (int j=0; j<colNumFields; ++j) {
+      const int colNumFieldDofs = colInfo->numFieldDofs[j];
+      J[i][j] = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,rowNumFieldDofs,colNumFieldDofs);
+      for (int k=0; k<c; ++k) {
+        for (int l=0; l<rowNumFieldDofs; ++l) {
+          for (int m=0; m<colNumFieldDofs; ++m) {
+            (*J[i][j])(k,l,m) = (*jac)(k,rowInfo->fieldPattern[i][l],colInfo->fieldPattern[j][m]);
+          }
+        }
+      }
+    }
+  }
+}
+
+template<typename Real>
+inline void combineFieldCoeff(ROL::Ptr<Intrepid::FieldContainer<Real>>                    &res,
+                              const std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>> &R,
+                              const ROL::Ptr<const FieldInfo>                             &info) {
+  const int numFields = info->numFields;
+  const int c = R[0]->dimension(0);  // number of cells
+  res = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, info->numDofs);
+  for (int i=0; i<numFields; ++i) {
+    const int numFieldDofs = info->numFieldDofs[i];
+    for (int j=0; j<c; ++j) {
+      for (int k=0; k<numFieldDofs; ++k) {
+        (*res)(j,info->fieldPattern[i][k]) = (*R[i])(j,k);
+      }
+    }
+  }
+}
+
+template<typename Real>
+inline void combineFieldCoeff(ROL::Ptr<Intrepid::FieldContainer<Real>>                                 &jac,
+                              const std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &J,
+                              const ROL::Ptr<const FieldInfo>                                          &rowInfo,
+                              const ROL::Ptr<const FieldInfo>                                          &colInfo) {
+  const int rowNumFields = rowInfo->numFields;
+  const int colNumFields = colInfo->numFields;
+  const int c = J[0][0]->dimension(0);  // number of cells
+  jac = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, rowInfo->numDofs, colInfo->numDofs);
+  for (int i=0; i<rowNumFields; ++i) {
+    const int rowNumFieldDofs = rowInfo->numFieldDofs[i];
+    for (int j=0; j<colNumFields; ++j) {
+      const int colNumFieldDofs = colInfo->numFieldDofs[j];
+      for (int k=0; k<c; ++k) {
+        for (int l=0; l<rowNumFieldDofs; ++l) {
+          for (int m=0; m<colNumFieldDofs; ++m) {
+            (*jac)(k,rowInfo->fieldPattern[i][l],colInfo->fieldPattern[j][m]) = (*J[i][j])(k,l,m);
+          }
+        }
+      }
+    }
+  }
+}
+
+}
+
 template<class Real>
 class FieldHelper {
   private:
diff --git a/packages/rol/example/PDE-OPT/TOOLS/pde.hpp b/packages/rol/example/PDE-OPT/TOOLS/pde.hpp
index 405ee84cf3bc..a0808f961d11 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/pde.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/pde.hpp
@@ -169,21 +169,27 @@ class PDE {
     throw Exception::NotImplemented(">>> Hessian_33 not implemented.");
   }
 
-  virtual void RieszMap_1(ROL::Ptr<Intrepid::FieldContainer<Real> > &riesz) {
+  virtual void RieszMap_1(ROL::Ptr<Intrepid::FieldContainer<Real>> &riesz) {
     throw Exception::NotImplemented(">>> RieszMap_1 not implemented.");
   }
 
-  virtual void RieszMap_2(ROL::Ptr<Intrepid::FieldContainer<Real> > &riesz) {
+  virtual void RieszMap_2(ROL::Ptr<Intrepid::FieldContainer<Real>> &riesz) {
     throw Exception::NotImplemented(">>> RieszMap_2 not implemented.");
   }
 
-  virtual std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real> > > > getFields() = 0;
+  virtual std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields() = 0;
+  virtual std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields2() {
+    return getFields();
+  }
 
-  virtual void setCellNodes(const ROL::Ptr<Intrepid::FieldContainer<Real> > &cellNodes,
-                            const std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real> > > > &bdryCellNodes,
-                            const std::vector<std::vector<std::vector<int> > > &bdryCellLocIds) = 0;
+  virtual void setCellNodes(const ROL::Ptr<Intrepid::FieldContainer<Real>> &cellNodes,
+                            const std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &bdryCellNodes,
+                            const std::vector<std::vector<std::vector<int>>> &bdryCellLocIds) = 0;
 
-  virtual void setFieldPattern(const std::vector<std::vector<int> > & fieldPattern) {
+  virtual void setFieldPattern(const std::vector<std::vector<int>> &fieldPattern) {}
+  virtual void setFieldPattern(const std::vector<std::vector<int>> &fieldPattern1,
+                               const std::vector<std::vector<int>> &fieldPattern2) {
+    setFieldPattern(fieldPattern1);
   }
 
 private:
diff --git a/packages/rol/example/PDE-OPT/TOOLS/pdeconstraint.hpp b/packages/rol/example/PDE-OPT/TOOLS/pdeconstraint.hpp
index a34075bc8814..09d33b1afa90 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/pdeconstraint.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/pdeconstraint.hpp
@@ -697,7 +697,7 @@ class PDE_Constraint : public ROL::Constraint_SimOpt<Real> {
       isH31zero_(false),  isH31notImplemented_(false),
       isH32zero_(false),  isH32notImplemented_(false),
       isH33zero_(false),  isH33notImplemented_(false) {
-    assembler_ = ROL::makePtr<Assembler<Real>>(pde_->getFields(),meshMgr,comm,parlist,outStream);
+    assembler_ = ROL::makePtr<Assembler<Real>>(pde_->getFields(),pde_->getFields2(),meshMgr,comm,parlist,outStream);
     assembler_->setCellNodes(*pde_);
     solver_ = ROL::makePtr<Solver<Real>>(parlist.sublist("Solver"));
   }

From 56faca727172c0e15dfde5412b7d723dab90490e Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Wed, 22 Apr 2020 17:13:35 -0600
Subject: [PATCH 03/19] Updated binary advection diffusion example to reflect
 changes in assembler.

---
 .../binary/adv-diff-TEST/branching.hpp        | 12 ++++-
 .../binary/adv-diff-TEST/example_01.cpp       | 22 ++++----
 .../PDE-OPT/binary/adv-diff-TEST/femdata.hpp  | 14 +++--
 .../binary/adv-diff-TEST/misfit_robj.hpp      | 53 +++++++++----------
 .../PDE-OPT/binary/adv-diff-TEST/objsum.hpp   |  2 +
 .../binary/adv-diff-TEST/opfactory.hpp        |  8 +--
 .../binary/adv-diff-TEST/pde_adv_diff.hpp     | 45 ++++++++++++----
 7 files changed, 101 insertions(+), 55 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
index 246473110330..810fe465bc84 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/branching.hpp
@@ -53,23 +53,31 @@ template<class Real>
 class ADVDIFF_Branching : public ROL::ROL_PEBBL_Branching<Real> {
 private:
   const int method_;
+  ROL::Ptr<ROL::Vector<Real>> z0_;
 
   using ROL::ROL_PEBBL_Branching<Real>::verbosity_;
   using ROL::ROL_PEBBL_Branching<Real>::outStream_;
+  using ROL::ROL_PEBBL_Branching<Real>::parlist_;
 
 public:
-  ADVDIFF_Branching(const ROL::Ptr<ROL::OptimizationProblemFactory<Real>> &factory,
+  ADVDIFF_Branching(const ROL::Ptr<BinaryAdvDiffFactory<Real>>            &factory,
                     const ROL::Ptr<ROL::ParameterList>                    &parlist,
                     const ROL::Ptr<ROL::BranchHelper_PEBBL<Real>>         &bHelper,
                     int                                                    verbosity = 0,
                     const ROL::Ptr<std::ostream>                          &outStream = ROL::nullPtr,
                     int                                                    method = 0)
     : ROL::ROL_PEBBL_Branching<Real>::ROL_PEBBL_Branching(factory,parlist,bHelper,verbosity,outStream),
-      method_(method) {}
+      method_(method) {
+    z0_ = factory->buildSolutionVector();
+  }
 
   pebbl::branchSub* blankSub() {
     return new ADVDIFF_BranchSub<Real>(ROL::makePtrFromRef<ADVDIFF_Branching<Real>>(*this),verbosity_,outStream_,method_);
   }
+
+//  pebbl::solution* iniitalGuess() {
+//
+//  }
 }; // ADVDIFF_Branching
 
 template <class Real>
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
index ffb9ab7faf8f..911b6dfea0e7 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/example_01.cpp
@@ -136,16 +136,19 @@ int main(int argc, char *argv[]) {
     // Print
     bool usePC = parlist->sublist("Problem").get("Piecewise Constant Controls", true);
     std::stringstream uname, zname, xname, yname;
-    uname << "state_"   << nx << "_" << ny << ".txt";
-    zname << "control_" << nx << "_" << ny << ".txt";
-    xname << "X_"       << nx << "_" << ny << ".txt";
-    yname << "Y_"       << nx << "_" << ny << ".txt";
     if (!solveQP) {
-      factory->getAssembler()->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<RealT>>(u)->getVector(),uname.str());
       if (!usePC) {
+        uname << "state.txt";
+        zname << "control.txt";
+        factory->getAssembler()->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<RealT>>(u)->getVector(),uname.str());
         factory->getAssembler()->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<RealT>>(z)->getVector(),zname.str());
       }
       else {
+        uname << "state_"   << nx << "_" << ny << ".txt";
+        zname << "control_" << nx << "_" << ny << ".txt";
+        xname << "X_"       << nx << "_" << ny << ".txt";
+        yname << "Y_"       << nx << "_" << ny << ".txt";
+        factory->getAssembler()->outputTpetraVector(ROL::dynamicPtrCast<ROL::TpetraMultiVector<RealT>>(u)->getVector(),uname.str());
         std::ofstream zfile, xfile, yfile;
         zfile.open(zname.str());
         xfile.open(xname.str());
@@ -165,18 +168,19 @@ int main(int argc, char *argv[]) {
       }
     }
     else {
+      zname << "control_" << nx << "_" << ny << ".txt";
+      xname << "X_"       << nx << "_" << ny << ".txt";
+      yname << "Y_"       << nx << "_" << ny << ".txt";
       std::ofstream zfile, xfile, yfile;
       zfile.open(zname.str());
       xfile.open(xname.str());
       yfile.open(yname.str());
-      int x(0), y(0);
       Teuchos::SerialDenseVector<int,RealT> &zdata = *ROL::dynamicPtrCast<ROL::TeuchosVector<int,RealT>>(z)->getVector();
       for (int j = 0; j < nx; ++j) {
         for (int k = 0; k < ny; ++k) {
           zfile << zdata[j+k*nx] << std::endl;
-          x = j; y = k;
-          xfile << x << std::endl;
-          yfile << y << std::endl;
+          xfile << j << std::endl;
+          yfile << k << std::endl;
         }
       }
       zfile.close();
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
index b71479675440..34d732d75783 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
@@ -10,6 +10,7 @@
 #include "pde_adv_diff.hpp"
 #include "qoi_adv_diff.hpp"
 #include "mesh_adv_diff.hpp"
+#include "Tpetra_RowMatrixTransposer.hpp"
 
 template <class Real>
 class FEMdata {
@@ -18,7 +19,7 @@ class FEMdata {
   ROL::Ptr<PDE_adv_diff<Real>> pde_;
   ROL::Ptr<Assembler<Real>> assembler_;
   ROL::Ptr<Solver<Real>> solver_;
-  ROL::Ptr<Tpetra::CrsMatrix<>> matJ1_, matJ2_, matH_;
+  ROL::Ptr<Tpetra::CrsMatrix<>> matJ1_, matJ2_, matH_, matJ2t_;
   ROL::Ptr<Tpetra::MultiVector<>> vecG_, vecR_, vecJ3_;
   Real c0_;
 
@@ -48,6 +49,10 @@ class FEMdata {
     return pde_->getFE();
   }
 
+  const ROL::Ptr<FE<Real>> getFE2(void) const {
+    return pde_->getFE2();
+  }
+
   // PDE definitions
   void addPDErhs(ROL::Vector<Real> &rhs) const {
     const Real one(1);
@@ -95,7 +100,8 @@ class FEMdata {
       ROL::Ptr<Tpetra::MultiVector<>> Jvf = getField(Jv);
       ROL::Ptr<const Tpetra::MultiVector<>> vf = getConstField(v);
       if (transpose) {
-        matJ2_->apply(*vf,*Jvf,Teuchos::TRANS);
+        //matJ2_->apply(*vf,*Jvf,Teuchos::TRANS);
+        matJ2t_->apply(*vf,*Jvf);
       }
       else {
         matJ2_->apply(*vf,*Jvf);
@@ -157,7 +163,7 @@ class FEMdata {
 
     pde_ = ROL::makePtr<PDE_adv_diff<Real>>(list);
     ROL::Ptr<MeshManager<Real>>  mesh = ROL::makePtr<MeshManager_adv_diff<Real>>(list);
-    assembler_ = ROL::makePtr<Assembler<Real>>(pde_->getFields(),
+    assembler_ = ROL::makePtr<Assembler<Real>>(pde_->getFields(),pde_->getFields2(),
                                                mesh,comm,list,stream);
     assembler_->setCellNodes(*pde_);
     ROL::Ptr<QoI<Real>> qoi = ROL::makePtr<QoI_State_Cost_adv_diff<Real>>(pde_->getFE(),list);
@@ -185,6 +191,8 @@ class FEMdata {
     }
     else {
       assembler_->assemblePDEJacobian2(matJ2_,pde_,stateZero,controlZero,paramZero);
+      Tpetra::RowMatrixTransposer<> trans(matJ2_);
+      matJ2t_ = trans.createTranspose();
     }
     solver_->setA(matJ1_);
 
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
index 2ea092b79d09..69741d76d0b6 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/misfit_robj.hpp
@@ -52,13 +52,12 @@ class Misfit_Objective : public ROL::Objective<Real> {
 
   void solvePDE(ROL::Vector<Real> &u, const ROL::Vector<Real> &z) {
     update(z,false);
-    solve_state_equation(z);
-    u.set(*state_);
+    solve_state_equation(u,z);
   }
 
   Real value( const ROL::Vector<Real> &z, Real &tol ) {
     nfval_++;
-    solve_state_equation(z);
+    solve_state_equation(*state_,z);
     fem_->applyObjectiveHessian(*dualadjoint_,*state_); // Hu
     dualadjoint_->scale(static_cast<Real>(0.5));        // 0.5 Hu
     fem_->addObjectiveGradient(*dualadjoint_);          // 0.5 Hu + g
@@ -68,17 +67,15 @@ class Misfit_Objective : public ROL::Objective<Real> {
 
   void gradient( ROL::Vector<Real> &g, const ROL::Vector<Real> &z, Real &tol ) {
     ngrad_++;
-    solve_state_equation(z);
-    solve_adjoint_equation(*state_);
+    solve_state_equation(*state_,z);
+    solve_adjoint_equation(*adjoint_,*state_);
     fem_->applyControlJacobian(g,*adjoint_,true);
   }
 
   void hessVec( ROL::Vector<Real> &hv, const ROL::Vector<Real> &v, const ROL::Vector<Real> &z, Real &tol ) {
     nhess_++;
-    solve_state_equation(z);
-    solve_adjoint_equation(*state_);
-    solve_state_sensitivity(v);
-    solve_adjoint_sensitivity(*state_sens_);
+    solve_state_sensitivity(*state_sens_,v);
+    solve_adjoint_sensitivity(*adjoint_sens_,*state_sens_);
     fem_->applyControlJacobian(hv,*adjoint_sens_,true);
   }
 
@@ -109,49 +106,49 @@ class Misfit_Objective : public ROL::Objective<Real> {
 
 private:
 
-  void solve_state_equation(const ROL::Vector<Real> &z) {
+  void solve_state_equation(ROL::Vector<Real> &state, const ROL::Vector<Real> &control) {
     bool isComputed = false;
     if (storage_) {
-      isComputed = stateStore_->get(*state_,ROL::Objective<Real>::getParameter());
+      isComputed = stateStore_->get(state,ROL::Objective<Real>::getParameter());
     }
     if (!isComputed || !storage_) {
-      fem_->applyControlJacobian(*dualadjoint_,z,false);          // Bz
-      fem_->addPDErhs(*dualadjoint_);                             // Bz + f
-      fem_->applyInversePDEJacobian(*state_,*dualadjoint_,false); // inv(A)(Bz + f)
-      state_->scale(static_cast<Real>(-1));                       // -inv(A)(Bz + f)
+      fem_->applyControlJacobian(*dualadjoint_,control,false);  // Bz
+      fem_->addPDErhs(*dualadjoint_);                           // Bz + f
+      fem_->applyInversePDEJacobian(state,*dualadjoint_,false); // inv(A)(Bz + f)
+      state.scale(static_cast<Real>(-1));                       // -inv(A)(Bz + f)
       nstat_++;
       if (storage_) {
-        stateStore_->set(*state_,ROL::Objective<Real>::getParameter());
+        stateStore_->set(state,ROL::Objective<Real>::getParameter());
       }
     }
   }
 
-  void solve_adjoint_equation(const ROL::Vector<Real> &u) {
+  void solve_adjoint_equation(ROL::Vector<Real> &adjoint, const ROL::Vector<Real> &state) {
     bool isComputed = false;
     if (storage_) {
-      isComputed = adjointStore_->get(*adjoint_,ROL::Objective<Real>::getParameter());
+      isComputed = adjointStore_->get(adjoint,ROL::Objective<Real>::getParameter());
     }
     if (!isComputed || !storage_) {
-      fem_->applyObjectiveHessian(*dualadjoint_,*state_);          // Hu
-      fem_->addObjectiveGradient(*dualadjoint_);                   // Hu + g
-      fem_->applyInversePDEJacobian(*adjoint_,*dualadjoint_,true); // inv(A')(Hu + g)
-      adjoint_->scale(static_cast<Real>(-1));                      // -inv(A')(Hu + g)
+      fem_->applyObjectiveHessian(*dualadjoint_,state);          // Hu
+      fem_->addObjectiveGradient(*dualadjoint_);                 // Hu + g
+      fem_->applyInversePDEJacobian(adjoint,*dualadjoint_,true); // inv(A')(Hu + g)
+      adjoint.scale(static_cast<Real>(-1));                      // -inv(A')(Hu + g)
       nadjo_++;
       if (storage_) {
-        adjointStore_->set(*adjoint_,ROL::Objective<Real>::getParameter());
+        adjointStore_->set(adjoint,ROL::Objective<Real>::getParameter());
       }
     }
   }
 
-  void solve_state_sensitivity(const ROL::Vector<Real> &v) {
+  void solve_state_sensitivity(ROL::Vector<Real> &state_sens, const ROL::Vector<Real> &v) {
     fem_->applyControlJacobian(*dualadjoint_,v,false);               // Bv
-    fem_->applyInversePDEJacobian(*state_sens_,*dualadjoint_,false); // inv(A)Bv
+    fem_->applyInversePDEJacobian(state_sens,*dualadjoint_,false); // inv(A)Bv
     nsens_++;
   }
 
-  void solve_adjoint_sensitivity(const ROL::Vector<Real> &v) {
-    fem_->applyObjectiveHessian(*dualadjoint_,v);                     // Hv
-    fem_->applyInversePDEJacobian(*adjoint_sens_,*dualadjoint_,true); // inv(A')Hv
+  void solve_adjoint_sensitivity(ROL::Vector<Real> &adjoint_sens, const ROL::Vector<Real> &state_sens) {
+    fem_->applyObjectiveHessian(*dualadjoint_,state_sens);          // Hv
+    fem_->applyInversePDEJacobian(adjoint_sens,*dualadjoint_,true); // inv(A')Hv
     nsadj_++;
   }
 }; // class Misfit_Objective
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
index 9f33ac384aec..b44fd9585325 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/objsum.hpp
@@ -103,6 +103,7 @@ class Sum_Objective : public ROL::Objective<Real> {
       xdual_ = g.clone();
       initialized_ = true;
     }
+    g.zero();
     misfit_->gradient(g,x,tol);
     g.scale(misCost_);
     penalty_->gradient(*xdual_,x,tol);
@@ -116,6 +117,7 @@ class Sum_Objective : public ROL::Objective<Real> {
       xdual_ = hv.clone();
       initialized_ = true;
     }
+    hv.zero();
     misfit_->hessVec(hv,v,x,tol);
     hv.scale(misCost_);
     penalty_->hessVec(*xdual_,v,x,tol);
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
index fa7ab44082c0..d4165486b3a8 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/opfactory.hpp
@@ -79,15 +79,15 @@ class BinaryAdvDiffFactory : public ROL::OptimizationProblemFactory<Real> {
     std::string costType = pl_.sublist("Problem").get("Control Cost Type", "TV");
     std::vector<ROL::Ptr<QoI<Real>>> qoi_pen(2,ROL::nullPtr);
     if (costType=="TV") {
-      qoi_pen[0] = ROL::makePtr<QoI_TVControl_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_TVControl_Cost_adv_diff<Real>>(fem_->getFE2(),pl_);
     }
     else if (costType=="L1") {
-      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_adv_diff<Real>>(fem_->getFE2(),pl_);
     }
     else {
-      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_L2_adv_diff<Real>>(fem_->getFE(),pl_);
+      qoi_pen[0] = ROL::makePtr<QoI_Control_Cost_L2_adv_diff<Real>>(fem_->getFE2(),pl_);
     }
-    qoi_pen[1] = ROL::makePtr<QoI_IntegralityControl_Cost_adv_diff<Real>>(fem_->getFE(),pl_);
+    qoi_pen[1] = ROL::makePtr<QoI_IntegralityControl_Cost_adv_diff<Real>>(fem_->getFE2(),pl_);
     penalty_ = ROL::makePtr<IntegralOptObjective<Real>>(qoi_pen[0],assembler_);
     binary_  = ROL::makePtr<IntegralOptObjective<Real>>(qoi_pen[1],assembler_);
     // Create template control vector
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
index 0ef1e2a03dec..35259e553e5a 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
@@ -67,6 +67,8 @@ class PDE_adv_diff : public PDE<Real> {
   // Finite element basis information
   ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>> basisPtr_;
   std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> basisPtrs_;
+  ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>> basisPtr2_;
+  std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> basisPtrs2_;
   // Cell cubature information
   ROL::Ptr<Intrepid::Cubature<Real>> cellCub_;
   // Cell node information
@@ -74,7 +76,7 @@ class PDE_adv_diff : public PDE<Real> {
   std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> bdryCellNodes_;
   std::vector<std::vector<std::vector<int>>> bdryCellLocIds_;
   // Finite element definition
-  ROL::Ptr<FE<Real>> fe_vol_;
+  ROL::Ptr<FE<Real>> fe_vol_, fe_ctrl_;
   // Local degrees of freedom on boundary, for each side of the reference cell (first index).
   std::vector<std::vector<int>> fidx_;
   // Coordinates of degrees freedom on boundary cells.
@@ -120,6 +122,15 @@ class PDE_adv_diff : public PDE<Real> {
     XU_ = XL_ + parlist.sublist("Geometry").get("Width",  2.0);
     YU_ = YL_ + parlist.sublist("Geometry").get("Height", 1.0);
     usePC_ = parlist.sublist("Problem").get("Piecewise Constant Controls", true);
+    if (!usePC_) {
+      if (probDim == 2) {
+        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_QUAD_C2_FEM<Real, Intrepid::FieldContainer<Real>>>();
+      }
+      else if (probDim == 3) {
+        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_HEX_C2_FEM<Real, Intrepid::FieldContainer<Real>>>();
+      }
+      basisPtrs2_.clear(); basisPtrs2_.push_back(basisPtr2_);
+    }
   }
 
   void residual(ROL::Ptr<Intrepid::FieldContainer<Real>> & res,
@@ -164,7 +175,7 @@ class PDE_adv_diff : public PDE<Real> {
 
     // ADD CONTROL TERM TO RESIDUAL
     if (z_coeff != ROL::nullPtr) {
-      fe_vol_->evaluateValue(valZ_eval, z_coeff);
+      fe_ctrl_->evaluateValue(valZ_eval, z_coeff);
       Intrepid::RealSpaceTools<Real>::scale(*valZ_eval,static_cast<Real>(-1));
       Intrepid::FunctionSpaceTools::integrate<Real>(*res,
                                                     *valZ_eval,
@@ -252,10 +263,15 @@ class PDE_adv_diff : public PDE<Real> {
     if (z_coeff != ROL::nullPtr) {
       // GET DIMENSIONS
       int c = fe_vol_->N()->dimension(0);
-      int f = fe_vol_->N()->dimension(1);
+      int f1 = fe_vol_->N()->dimension(1);
+      int f2 = fe_ctrl_->N()->dimension(1);
       // INITIALIZE RIESZ
-      jac  = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f, f);
-      *jac = *fe_vol_->massMat();
+      jac  = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f1, f2);
+      Intrepid::FunctionSpaceTools::integrate<Real>(*jac,
+                                                    *fe_vol_->N(),
+                                                    *fe_ctrl_->NdetJ(),
+                                                    Intrepid::COMP_CPP, false);
+      //*jac = *fe_vol_->massMat();
       Intrepid::RealSpaceTools<Real>::scale(*jac,static_cast<Real>(-1));
       // APPLY DIRICHLET CONDITIONS
       int numLocalSideIds = bdryCellLocIds_[0].size();
@@ -266,7 +282,7 @@ class PDE_adv_diff : public PDE<Real> {
           int cidx = bdryCellLocIds_[0][j][k];
           for (int l = 0; l < numBdryDofs; ++l) {
             //std::cout << "\n   j=" << j << "  l=" << l << "  " << fidx[j][l];
-            for (int m = 0; m < f; ++m) {
+            for (int m = 0; m < f2; ++m) {
               (*jac)(cidx,fidx_[j][l],m) = static_cast<Real>(0);
             }
           }
@@ -405,17 +421,21 @@ class PDE_adv_diff : public PDE<Real> {
 
   void RieszMap_2(ROL::Ptr<Intrepid::FieldContainer<Real>> & riesz) {
     // GET DIMENSIONS
-    int c = fe_vol_->N()->dimension(0);
-    int f = fe_vol_->N()->dimension(1);
+    int c = fe_ctrl_->N()->dimension(0);
+    int f = fe_ctrl_->N()->dimension(1);
     // INITIALIZE RIESZ
     riesz = ROL::makePtr<Intrepid::FieldContainer<Real>>(c, f, f);
-    *riesz = *fe_vol_->massMat();
+    *riesz = *fe_ctrl_->massMat();
   }
 
   std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields() {
     return basisPtrs_;
   }
 
+  std::vector<ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real>>>> getFields2() {
+    return basisPtrs2_;
+  }
+
   void setCellNodes(const ROL::Ptr<Intrepid::FieldContainer<Real>> &volCellNodes,
                     const std::vector<std::vector<ROL::Ptr<Intrepid::FieldContainer<Real>>>> &bdryCellNodes,
                     const std::vector<std::vector<std::vector<int>>> &bdryCellLocIds) {
@@ -424,6 +444,9 @@ class PDE_adv_diff : public PDE<Real> {
     bdryCellLocIds_ = bdryCellLocIds;
     // Finite element definition.
     fe_vol_ = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtr_,cellCub_);
+    if (!usePC_) {
+      fe_ctrl_ = ROL::makePtr<FE<Real>>(volCellNodes_,basisPtr2_,cellCub_);
+    }
     // Set local boundary DOFs.
     fidx_ = fe_vol_->getBoundaryDofs();
     // Compute Dirichlet values at DOFs.
@@ -459,6 +482,10 @@ class PDE_adv_diff : public PDE<Real> {
     return fe_vol_;
   }
 
+  const ROL::Ptr<FE<Real>> getFE2(void) const {
+    return fe_ctrl_;
+  }
+
   void print(void) const {
     std::ofstream xfile, yfile;
     xfile.open("X.txt");

From 180c1bee119c6899118a862feeb5a2197a8b8440 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Wed, 22 Apr 2020 17:18:45 -0600
Subject: [PATCH 04/19] Change to include the adv-diff-TEST example.

---
 packages/rol/example/PDE-OPT/binary/CMakeLists.txt | 1 +
 1 file changed, 1 insertion(+)

diff --git a/packages/rol/example/PDE-OPT/binary/CMakeLists.txt b/packages/rol/example/PDE-OPT/binary/CMakeLists.txt
index a0cea2ee432f..3165f5708c04 100644
--- a/packages/rol/example/PDE-OPT/binary/CMakeLists.txt
+++ b/packages/rol/example/PDE-OPT/binary/CMakeLists.txt
@@ -1,3 +1,4 @@
 ADD_SUBDIRECTORY(adv-diff)
 ADD_SUBDIRECTORY(adv-diff-SUR)
+ADD_SUBDIRECTORY(adv-diff-TEST)
 ADD_SUBDIRECTORY(elasticity)

From 9135ab8e78d15b4a1ff6fe40368e6ccecbe49ef0 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Wed, 22 Apr 2020 17:34:17 -0600
Subject: [PATCH 05/19] Changed control discretization.

---
 .../rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp  | 8 ++------
 .../example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp | 4 ++--
 2 files changed, 4 insertions(+), 8 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
index 34d732d75783..461fa516266b 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/femdata.hpp
@@ -10,7 +10,6 @@
 #include "pde_adv_diff.hpp"
 #include "qoi_adv_diff.hpp"
 #include "mesh_adv_diff.hpp"
-#include "Tpetra_RowMatrixTransposer.hpp"
 
 template <class Real>
 class FEMdata {
@@ -19,7 +18,7 @@ class FEMdata {
   ROL::Ptr<PDE_adv_diff<Real>> pde_;
   ROL::Ptr<Assembler<Real>> assembler_;
   ROL::Ptr<Solver<Real>> solver_;
-  ROL::Ptr<Tpetra::CrsMatrix<>> matJ1_, matJ2_, matH_, matJ2t_;
+  ROL::Ptr<Tpetra::CrsMatrix<>> matJ1_, matJ2_, matH_;
   ROL::Ptr<Tpetra::MultiVector<>> vecG_, vecR_, vecJ3_;
   Real c0_;
 
@@ -100,8 +99,7 @@ class FEMdata {
       ROL::Ptr<Tpetra::MultiVector<>> Jvf = getField(Jv);
       ROL::Ptr<const Tpetra::MultiVector<>> vf = getConstField(v);
       if (transpose) {
-        //matJ2_->apply(*vf,*Jvf,Teuchos::TRANS);
-        matJ2t_->apply(*vf,*Jvf);
+        matJ2_->apply(*vf,*Jvf,Teuchos::TRANS);
       }
       else {
         matJ2_->apply(*vf,*Jvf);
@@ -191,8 +189,6 @@ class FEMdata {
     }
     else {
       assembler_->assemblePDEJacobian2(matJ2_,pde_,stateZero,controlZero,paramZero);
-      Tpetra::RowMatrixTransposer<> trans(matJ2_);
-      matJ2t_ = trans.createTranspose();
     }
     solver_->setA(matJ1_);
 
diff --git a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
index 35259e553e5a..5624450296fc 100644
--- a/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
+++ b/packages/rol/example/PDE-OPT/binary/adv-diff-TEST/pde_adv_diff.hpp
@@ -124,10 +124,10 @@ class PDE_adv_diff : public PDE<Real> {
     usePC_ = parlist.sublist("Problem").get("Piecewise Constant Controls", true);
     if (!usePC_) {
       if (probDim == 2) {
-        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_QUAD_C2_FEM<Real, Intrepid::FieldContainer<Real>>>();
+        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_QUAD_C1_FEM<Real, Intrepid::FieldContainer<Real>>>();
       }
       else if (probDim == 3) {
-        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_HEX_C2_FEM<Real, Intrepid::FieldContainer<Real>>>();
+        basisPtr2_ = ROL::makePtr<Intrepid::Basis_HGRAD_HEX_C1_FEM<Real, Intrepid::FieldContainer<Real>>>();
       }
       basisPtrs2_.clear(); basisPtrs2_.push_back(basisPtr2_);
     }

From 39cb78eff51900565fca099d27049fa67d8d6c86 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Thu, 23 Apr 2020 11:01:32 -0600
Subject: [PATCH 06/19] Fixed parallel bug in assembler graph constructions.

---
 packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
index 27cd17badd17..7604e8ddf964 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
@@ -2534,7 +2534,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
       maxEntriesPerRow2 = rowIndexWithMaxEntries2->second;
   }
 
-  matJ1Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, myUniqueStateMap_, maxEntriesPerRow1);
+  matJ1Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, maxEntriesPerRow1);
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs1; ++j) {
       matJ1Graph_->insertGlobalIndices(GO(cellDofs1(myCellIds_[i],j)),
@@ -2545,7 +2545,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   matR1Graph_  = matJ1Graph_;
   matH11Graph_ = matJ1Graph_;
 
-  matJ2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, myUniqueControlMap_, maxEntriesPerRow2);
+  matJ2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, maxEntriesPerRow2);
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs1; ++j) {
       matJ2Graph_->insertGlobalIndices(GO(cellDofs1(myCellIds_[i],j)),
@@ -2555,7 +2555,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   matJ2Graph_->fillComplete(myUniqueControlMap_,myUniqueStateMap_);
   matH21Graph_ = matJ2Graph_;
 
-  matH12Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, myUniqueStateMap_, maxEntriesPerRow1);
+  matH12Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, maxEntriesPerRow1);
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs2; ++j) {
       matH12Graph_->insertGlobalIndices(GO(cellDofs2(myCellIds_[i],j)),
@@ -2564,7 +2564,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   }
   matH12Graph_->fillComplete(myUniqueStateMap_,myUniqueControlMap_);
 
-  matR2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, myUniqueControlMap_, maxEntriesPerRow2);
+  matR2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueControlMap_, maxEntriesPerRow2);
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs2; ++j) {
       matR2Graph_->insertGlobalIndices(GO(cellDofs2(myCellIds_[i],j)),

From f711d315707d28ad1738105d684f5bcbf3a6acf6 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Mon, 27 Apr 2020 10:11:14 -0600
Subject: [PATCH 07/19] Modifed FE to allow for construction without building
 side set information.

---
 packages/rol/example/PDE-OPT/TOOLS/fe.hpp | 25 +++++++++++++----------
 1 file changed, 14 insertions(+), 11 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/TOOLS/fe.hpp b/packages/rol/example/PDE-OPT/TOOLS/fe.hpp
index 2128cd954bb7..ac9735e7b1cd 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/fe.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/fe.hpp
@@ -111,7 +111,8 @@ class FE {
 
   FE(const ROL::Ptr<Intrepid::FieldContainer<Real> >                            & cellNodes,
      const ROL::Ptr<Intrepid::Basis<Real, Intrepid::FieldContainer<Real> > >    & basis,
-     const ROL::Ptr<Intrepid::Cubature<Real, Intrepid::FieldContainer<Real> > > & cubature) :
+     const ROL::Ptr<Intrepid::Cubature<Real, Intrepid::FieldContainer<Real> > > & cubature,
+     bool computeBdryDofs = true) :
        cellNodes_(cellNodes), basis_(basis), cubature_(cubature), sideId_(-1) {
 
     // Get base cell topology from basis.
@@ -254,17 +255,19 @@ class FE {
                                                   *cellTopo_);
 
     // Compute local degrees of freedom on reference cell sides.
-    int numSides = cellTopo_->getSideCount();
-    if (cellTopo_->getDimension() == 1) {
-      numSides = 2;
-    }
-    if ( numSides ) {
-      for (int i=0; i<numSides; ++i) {
-        sideDofs_.push_back(computeBoundaryDofs(i));
+    if (computeBdryDofs) {
+      int numSides = cellTopo_->getSideCount();
+      if (cellTopo_->getDimension() == 1) {
+        numSides = 2;
+      }
+      if ( numSides ) {
+        for (int i=0; i<numSides; ++i) {
+          sideDofs_.push_back(computeBoundaryDofs(i));
+        }
+      }
+      else {
+        sideDofs_.push_back(computeBoundaryDofs(0));
       }
-    }
-    else {
-      sideDofs_.push_back(computeBoundaryDofs(0));
     }
 
     // Get coordinates of DOFs in reference cell.

From f4094f3f0c06750649569b422122a4e23aca2ce4 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Mon, 27 Apr 2020 10:13:37 -0600
Subject: [PATCH 08/19] Updated assembler and dof manager to work with C0
 basis.

---
 .../example/PDE-OPT/TOOLS/assembler_def.hpp    |  2 +-
 .../rol/example/PDE-OPT/TOOLS/dofmanager.hpp   | 18 +++++++++++++++---
 2 files changed, 16 insertions(+), 4 deletions(-)

diff --git a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
index 7604e8ddf964..c3da6cf0625e 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/assembler_def.hpp
@@ -2545,7 +2545,7 @@ void Assembler<Real>::setParallelStructure(Teuchos::ParameterList &parlist,
   matR1Graph_  = matJ1Graph_;
   matH11Graph_ = matJ1Graph_;
 
-  matJ2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, maxEntriesPerRow2);
+  matJ2Graph_ = ROL::makePtr<Tpetra::CrsGraph<>>(myUniqueStateMap_, std::max(maxEntriesPerRow1,maxEntriesPerRow2));
   for (int i=0; i<numCells_; ++i) {
     for (int j=0; j<numLocalDofs1; ++j) {
       matJ2Graph_->insertGlobalIndices(GO(cellDofs1(myCellIds_[i],j)),
diff --git a/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp b/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
index 3903bdf15c85..9208fa2331cd 100644
--- a/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
+++ b/packages/rol/example/PDE-OPT/TOOLS/dofmanager.hpp
@@ -537,7 +537,11 @@ class DofManager {
     for (int f=0; f<numBases_; ++f) { 
       int basisDeg = intrepidBasis_[f]->getDegree();
       if (cellDim_ == 1) {
-        if (basisDeg == 1) {
+        if (basisDeg == 0) {
+          map2IP[f] = {0};
+          map2FP[f] = {0};
+        }
+        else if (basisDeg == 1) {
           map2IP[f] = {0, 1};
           map2FP[f] = {0, 1};
         }
@@ -551,7 +555,11 @@ class DofManager {
         }
       }
       else if (cellDim_ == 2) {
-        if (basisDeg == 1) {
+        if (basisDeg == 0) {
+          map2IP[f] = {0};
+          map2FP[f] = {0};
+        }
+        else if (basisDeg == 1) {
           map2IP[f].resize(nv);
           map2FP[f].resize(nv);
           for (int i = 0; i < nv; ++i) {
@@ -578,7 +586,11 @@ class DofManager {
         }
       }
       else if (cellDim_ == 3) {
-        if (basisDeg == 1) {
+        if (basisDeg == 0) {
+          map2IP[f] = {0};
+          map2FP[f] = {0};
+        }
+        else if (basisDeg == 1) {
           map2IP[f] = {0, 1, 2, 3, 4, 5, 6, 7};
           map2FP[f] = {0, 1, 2, 3, 4, 5, 6, 7};
         }

From 8dbbe68cc7bffb1cf67ce6a7c9e5841542196600 Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Thu, 18 Jun 2020 07:24:00 -0600
Subject: [PATCH 09/19] atdm/utils: Cleanup for unit testing

---
 .../unit_tests/get_known_system_info_unit_test.sh | 13 ++++++++-----
 cmake/std/atdm/utils/get_known_system_info.sh     | 15 ++++++---------
 2 files changed, 14 insertions(+), 14 deletions(-)

diff --git a/cmake/std/atdm/test/unit_tests/get_known_system_info_unit_test.sh b/cmake/std/atdm/test/unit_tests/get_known_system_info_unit_test.sh
index 79e5e7da084f..580bb899b4df 100755
--- a/cmake/std/atdm/test/unit_tests/get_known_system_info_unit_test.sh
+++ b/cmake/std/atdm/test/unit_tests/get_known_system_info_unit_test.sh
@@ -16,15 +16,18 @@ fi
 # Test atdm get_known_system_info script
 #
 test_atdm_get_known_system_info() {
-   # TODO: D.2 needs to be tested by setting these values:
+  # Tweak these values for testing on other platforms
+  # TODO: Test branch D.2 in get_known_system_info.sh
   SNLSYSTEM=
   SEMS_PLATFORM=
   ATDM_SYSTEM_NAME=
   SNLCLUSTER=
-
-  # Get the good ATDM_KNOWN_SYSTEM_NAMES_LIST
-  ATDM_CONFIG_BUILD_NAME=unit_test
+  HOST=
+  ATDM_CONFIG_SEMS_GET_PLATFORM=/fake/path/for/unit/testing/
+  ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTING=unit_test
+  ATDM_CONFIG_BUILD_NAME=$ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTING
   ATDM_CONFIG_DISABLE_WARNINGS=ON
+  # Populate ATDM_KNOWN_SYSTEM_NAMES_LIST
   source ${ATDM_UTIL_SCRIPT_GET_KNOWN_SYSTEM_INFO}
 
   # Check that all known system names pass
@@ -55,7 +58,7 @@ test_atdm_get_known_system_info() {
   SNLSYSTEM=cts1
   RET=$(source ${ATDM_UTIL_SCRIPT_GET_KNOWN_SYSTEM_INFO})
   assertEquals "Hostname '$ATDM_CONFIG_BUILD_NAME' matches known ATDM host '$ATDM_CONFIG_BUILD_NAME' and system 'cts1empire'" "$RET"
-  
+
   # Ensure that cts1 is still selected when it's in the build name
   ATDM_CONFIG_BUILD_NAME=cts1-default
   ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTING=$ATDM_CONFIG_BUILD_NAME
diff --git a/cmake/std/atdm/utils/get_known_system_info.sh b/cmake/std/atdm/utils/get_known_system_info.sh
index 9d8457e4feed..3cb28b2c150f 100644
--- a/cmake/std/atdm/utils/get_known_system_info.sh
+++ b/cmake/std/atdm/utils/get_known_system_info.sh
@@ -30,9 +30,6 @@ fi
 
 source ${ATDM_CONFIG_SCRIPT_DIR}/utils/get_system_info_utils.sh
 
-realHostname=`hostname`
-# TODO: come up with a better way to unit test this code.
-unset $ATDM_CONFIG_HOSTNAME_OVERRIDE
 if [[ "${ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTING}" ]] ; then
   if [[ -z $ATDM_CONFIG_DISABLE_WARNINGS ]]; then
     echo
@@ -45,7 +42,9 @@ if [[ "${ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTIN
     echo
   fi
   realHostname=${ATDM_CONFIG_GET_KNOW_SYSTEM_INFO_REAL_HOSTNAME_OVERRIDE_FOR_UNIT_TESTING}
-  ATDM_CONFIG_HOSTNAME_OVERRIDE=true
+else
+  realHostname=`hostname`
+  ATDM_CONFIG_SEMS_GET_PLATFORM=/projects/sems/modulefiles/utils/get-platform
 fi
 #echo "Hostname = '$realHostname'"
 
@@ -141,8 +140,7 @@ fi
 #
 
 # ATS-1 systems
-if [[ $realHostname == "mutrino"* ||
-      $HOST == "mutrino"* && -z $ATDM_CONFIG_HOSTNAME_OVERRIDE ]] ; then
+if [[ $realHostname == "mutrino"* || $HOST == "mutrino"* ]] ; then
   systemNameTypeMatchedList+=(ats1)
   systemNameTypeMatchedListHostNames[ats1]=mutrino
   systemNameTypeMatchedList+=(mutrino)
@@ -182,9 +180,8 @@ elif [[ "${SNLSYSTEM}" == "astra" || \
         "${SNLSYSTEM}" == "vortex" ]] ; then
   echo "Don't call get-platform on 'astra' systems" > /dev/null
   # Above logic avoids an 'ERROR: Unrecognized cluster <name>' on these systems
-elif [[ -f /projects/sems/modulefiles/utils/get-platform &&
-        -z $ATDM_CONFIG_HOSTNAME_OVERRIDE ]] ; then
-  ATDM_SYSTEM_NAME=`source /projects/sems/modulefiles/utils/get-platform`
+elif [[ -f $ATDM_CONFIG_SEMS_GET_PLATFORM ]] ; then
+  ATDM_SYSTEM_NAME=`source $ATDM_CONFIG_SEMS_GET_PLATFORM`
   if [[ $ATDM_SYSTEM_NAME == "rhel6-x86_64" ]] ; then
     systemNameTypeMatchedList+=(sems-rhel6)
     systemNameTypeMatchedListHostNames[sems-rhel6]=sems-rhel6

From c419d1fca0d544c1a4810be757ae984af3e16b0e Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Thu, 18 Jun 2020 08:24:55 -0600
Subject: [PATCH 10/19] ATDM/van1-tx2: Add arm-20.1 build matching and drivers
 (ATDV-369)

  - Added drivers for arm-20.1.
  - Updated van1-tx2 supported builds.
  - Added unit tests for arm-20.1.
  - Fixed unit test asserts.
---
 ...rm-20.1_openmpi-4.0.3_openmp_static_dbg.sh |  9 ++++++
 ...rm-20.1_openmpi-4.0.3_openmp_static_opt.sh |  9 ++++++
 .../std/atdm/van1-tx2/all_supported_builds.sh |  2 ++
 cmake/std/atdm/van1-tx2/custom_builds.sh      |  9 +++++-
 .../atdm/van1-tx2/custom_builds_unit_tests.sh | 30 ++++++++++++++-----
 5 files changed, 50 insertions(+), 9 deletions(-)
 create mode 100755 cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
 create mode 100755 cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh

diff --git a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
new file mode 100755
index 000000000000..e353f6481af6
--- /dev/null
+++ b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
@@ -0,0 +1,9 @@
+#!/bin/bash
+
+#export SALLOC_CTEST_TIME_LIMIT_MINUTES=1:00:00
+
+if [ "${Trilinos_TRACK}" == "" ] ; then
+  export Trilinos_TRACK=Experimental
+fi
+
+$WORKSPACE/Trilinos/cmake/ctest/drivers/atdm/van1-tx2/local-driver.sh
diff --git a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh
new file mode 100755
index 000000000000..e353f6481af6
--- /dev/null
+++ b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh
@@ -0,0 +1,9 @@
+#!/bin/bash
+
+#export SALLOC_CTEST_TIME_LIMIT_MINUTES=1:00:00
+
+if [ "${Trilinos_TRACK}" == "" ] ; then
+  export Trilinos_TRACK=Experimental
+fi
+
+$WORKSPACE/Trilinos/cmake/ctest/drivers/atdm/van1-tx2/local-driver.sh
diff --git a/cmake/std/atdm/van1-tx2/all_supported_builds.sh b/cmake/std/atdm/van1-tx2/all_supported_builds.sh
index 729823033923..3b28d2d856ae 100644
--- a/cmake/std/atdm/van1-tx2/all_supported_builds.sh
+++ b/cmake/std/atdm/van1-tx2/all_supported_builds.sh
@@ -5,4 +5,6 @@ export ATDM_CONFIG_CTEST_S_BUILD_NAME_PREFIX=Trilinos-atdm-
 export ATDM_CONFIG_ALL_SUPPORTED_BUILDS=(
   van1-tx2_arm-20.0_openmpi-4.0.2_openmp_static_opt
   van1-tx2_arm-20.0_openmpi-4.0.2_openmp_static_dbg
+  van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt
+  van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg
   )
diff --git a/cmake/std/atdm/van1-tx2/custom_builds.sh b/cmake/std/atdm/van1-tx2/custom_builds.sh
index be98bc3ded0d..d864690c5e0c 100644
--- a/cmake/std/atdm/van1-tx2/custom_builds.sh
+++ b/cmake/std/atdm/van1-tx2/custom_builds.sh
@@ -2,7 +2,14 @@
 # Custom builds for van1-tx2 env
 #
 
+# Try matching against arm-20.1 before arm-20 or arm
 if atdm_match_any_buildname_keyword \
+     arm-20.1-openmpi-4.0.3 \
+     arm-20.1_openmpi-4.0.3 \
+     arm-20.1 \
+  ; then
+  export ATDM_CONFIG_COMPILER=ARM-20.1_OPENMPI-4.0.3
+elif atdm_match_any_buildname_keyword \
      arm-20.0-openmpi-4.0.2 \
      arm-20.0_openmpi-4.0.2 \
      arm-20.0 \
@@ -11,7 +18,6 @@ if atdm_match_any_buildname_keyword \
      default \
   ; then
   export ATDM_CONFIG_COMPILER=ARM-20.0_OPENMPI-4.0.2
-
 else
   echo
   echo "***"
@@ -20,6 +26,7 @@ else
   echo "*** Supported compilers include:"
   echo "***"
   echo "****  arm-20.0-openmpi-4.0.2    (arm-20.0, default)"
+  echo "****  arm-20.1-openmpi-4.0.3    (arm-20.1)"
   echo "***"
   return
 
diff --git a/cmake/std/atdm/van1-tx2/custom_builds_unit_tests.sh b/cmake/std/atdm/van1-tx2/custom_builds_unit_tests.sh
index 78fb6def891b..14d15d31817f 100755
--- a/cmake/std/atdm/van1-tx2/custom_builds_unit_tests.sh
+++ b/cmake/std/atdm/van1-tx2/custom_builds_unit_tests.sh
@@ -12,38 +12,52 @@ testAll() {
 
   ATDM_CONFIG_SYSTEM_DIR=${ATDM_CONFIG_SCRIPT_DIR}/van1-tx2
 
+  #### TEST ARM-20.0 ####
   ATDM_CONFIG_BUILD_NAME=default
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=before-arm-20.0-openmpi-4.0.2_after
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=before-arm-20.0_openmpi-4.0.2-after
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=before_arm-20.0-after
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=before_arm-20-afert
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=before-arm-after
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   ATDM_CONFIG_BUILD_NAME=BEFORE-ARM-AFTER
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} ARM-20.0_OPENMPI-4.0.2
+  ${_ASSERT_EQUALS_} ARM-20.0_OPENMPI-4.0.2 ${ATDM_CONFIG_COMPILER}
 
   # Make sure 'arms' does not match 'arm'
   ATDM_CONFIG_BUILD_NAME=anything-arms
   . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
-  ${_ASSERT_EQUALS_} ${ATDM_CONFIG_COMPILER} DEFAULT
+  ${_ASSERT_EQUALS_} DEFAULT ${ATDM_CONFIG_COMPILER}
+
+  #### Test ARM-20.1 ####
+  ATDM_CONFIG_BUILD_NAME=before-arm-20.1-openmpi-4.0.3_after
+  . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
+  ${_ASSERT_EQUALS_} ARM-20.1_OPENMPI-4.0.3 ${ATDM_CONFIG_COMPILER}
+
+  ATDM_CONFIG_BUILD_NAME=before-arm-20.1_openmpi-4.0.3-after
+  . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
+  ${_ASSERT_EQUALS_} ARM-20.1_OPENMPI-4.0.3 ${ATDM_CONFIG_COMPILER}
+
+  ATDM_CONFIG_BUILD_NAME=before_arm-20.1-after
+  . ${ATDM_CONFIG_SCRIPT_DIR}/utils/set_build_options.sh
+  ${_ASSERT_EQUALS_}  ARM-20.1_OPENMPI-4.0.3 ${ATDM_CONFIG_COMPILER}
 
 }
 

From 86fc10045e6e5258ad0a6788de4a528473b37897 Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Thu, 18 Jun 2020 09:01:23 -0600
Subject: [PATCH 11/19] ATDM/van1-tx2: Updated environment to support arm-20.1
 (ATDM-369)

---
 cmake/std/atdm/van1-tx2/environment.sh | 47 +++++++++++++++-----------
 1 file changed, 27 insertions(+), 20 deletions(-)

diff --git a/cmake/std/atdm/van1-tx2/environment.sh b/cmake/std/atdm/van1-tx2/environment.sh
index 7266f11c35a5..107c2ebdb04b 100755
--- a/cmake/std/atdm/van1-tx2/environment.sh
+++ b/cmake/std/atdm/van1-tx2/environment.sh
@@ -67,6 +67,33 @@ if [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.0_OPENMPI-4.0.2" ]]; then
   export LAPACK_ROOT="$ARMPL_LIB"
   export ATDM_CONFIG_LAPACK_LIBS="-L${LAPACK_ROOT};-larmpl_ilp64_mp"
   export ATDM_CONFIG_BLAS_LIBS="-L${LAPACK_ROOT};-larmpl_ilp64_mp"
+
+  # We'll use TPL_ROOT for consistency across ATDM environments
+  export MPI_ROOT=${MPI_DIR}
+  export BLAS_ROOT=${ARMPL_DIR}
+  export LAPACK_ROOT=${ARMPL_DIR}
+  export HDF5_ROOT=${HDF5_DIR}
+  export NETCDF_ROOT=${NETCDF_DIR}
+  export PNETCDF_ROOT=${PNETCDF_DIR}
+  export ZLIB_ROOT=${ZLIB_DIR}
+  export CGNS_ROOT=${CGNS_DIR}
+  export BOOST_ROOT=${BOOST_DIR}
+
+elif [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.1_OPENMPI-4.0.3" ]]; then
+  module load sparc-dev/arm-20.1_openmpi-4.0.3
+
+  # We'll use TPL_ROOT for consistency across ATDM environments
+  export MPI_ROOT=${MPI_DIR}
+  export BLAS_ROOT=${ARMPL_DIR}
+  export HDF5_ROOT=${HDF5_DIR}
+  export NETCDF_ROOT=${NETCDF_DIR}
+  export PNETCDF_ROOT=${PNETCDF_DIR}
+  export ZLIB_ROOT=${ZLIB_DIR}
+  export CGNS_ROOT=${CGNS_DIR}
+  export METIS_ROOT=${METIS_DIR}
+  export PARMETIS_ROOT=${PARMETIS_DIR}
+  export SUPERLUDIST_ROOT=${SUPERLU_DIST_DIR}
+  export BINUTILS_ROOT=${BINUTILS_DIR}
 else
   echo
   echo "***"
@@ -80,26 +107,6 @@ module load ninja
 module load cmake/3.12.2
 module load git/2.19.2
 
-#
-# Set up for the TPLs
-#
-
-# Common TPL paths, we'll use TPL_ROOT for consistency across ATDM
-# environments
-export MPI_ROOT=${MPI_DIR}
-export BLAS_ROOT=${ARMPL_DIR}
-export LAPACK_ROOT=${ARMPL_DIR}
-export HDF5_ROOT=${HDF5_DIR}
-export NETCDF_ROOT=${NETCDF_DIR}
-export PNETCDF_ROOT=${PNETCDF_DIR}
-export ZLIB_ROOT=${ZLIB_DIR}
-export CGNS_ROOT=${CGNS_DIR}
-export BOOST_ROOT=${BOOST_DIR}
-export METIS_ROOT=${METIS_DIR}
-export PARMETIS_ROOT=${PARMETIS_DIR}
-export SUPERLUDIST_ROOT=${SUPERLU_DIST_DIR}
-export BINUTILS_ROOT=${BINUTILS_DIR}
-
 export ATDM_CONFIG_USE_HWLOC=OFF
 export HWLOC_LIBS=
 

From f9a5c2fcb20e6743c10ae0984ae36dfa188d9613 Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Thu, 18 Jun 2020 18:35:33 -0600
Subject: [PATCH 12/19] ATDM/van1-tx2: Handle OMP_XXX vars silence git reload
 warning (ATDV-369)

---
 cmake/std/atdm/van1-tx2/environment.sh | 25 +++++++++++++++----------
 1 file changed, 15 insertions(+), 10 deletions(-)

diff --git a/cmake/std/atdm/van1-tx2/environment.sh b/cmake/std/atdm/van1-tx2/environment.sh
index 107c2ebdb04b..a3629e515bf1 100755
--- a/cmake/std/atdm/van1-tx2/environment.sh
+++ b/cmake/std/atdm/van1-tx2/environment.sh
@@ -35,15 +35,6 @@ if [[ "${ATDM_CONFIG_BUILD_TYPE}" == "DEBUG" ]] ; then
   # Reducing this is to avoid that.  See CDOFA-117.
 fi
 
-if [[ "$ATDM_CONFIG_NODE_TYPE" == "OPENMP" ]] ; then
-  export ATDM_CONFIG_CTEST_PARALLEL_LEVEL=16
-  export OMP_NUM_THREADS=2
-else
-  export ATDM_CONFIG_CTEST_PARALLEL_LEVEL=32
-  export OMP_PROC_BIND=FALSE
-  export OMP_NUM_THREADS=1
-fi
-
 #
 # Load the modules
 #
@@ -79,9 +70,15 @@ if [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.0_OPENMPI-4.0.2" ]]; then
   export CGNS_ROOT=${CGNS_DIR}
   export BOOST_ROOT=${BOOST_DIR}
 
+  module load git/2.19.2
 elif [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.1_OPENMPI-4.0.3" ]]; then
   module load sparc-dev/arm-20.1_openmpi-4.0.3
 
+  if [ "$ATDM_CONFIG_NODE_TYPE" == "OPENMP" ] ; then
+    unset OMP_PLACES
+    unset OMP_PROC_BIND
+  fi
+
   # We'll use TPL_ROOT for consistency across ATDM environments
   export MPI_ROOT=${MPI_DIR}
   export BLAS_ROOT=${ARMPL_DIR}
@@ -102,10 +99,18 @@ else
   return
 fi
 
+if [[ "$ATDM_CONFIG_NODE_TYPE" == "OPENMP" ]] ; then
+  export ATDM_CONFIG_CTEST_PARALLEL_LEVEL=16
+  export OMP_NUM_THREADS=2
+else
+  export ATDM_CONFIG_CTEST_PARALLEL_LEVEL=32
+  export OMP_PROC_BIND=FALSE
+  export OMP_NUM_THREADS=1
+fi
+
 # Common modules for all builds
 module load ninja
 module load cmake/3.12.2
-module load git/2.19.2
 
 export ATDM_CONFIG_USE_HWLOC=OFF
 export HWLOC_LIBS=

From 18010e3269bf79c91eb1f24379171a94d0edef03 Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Thu, 18 Jun 2020 19:00:00 -0600
Subject: [PATCH 13/19] ATDM/van1-tx2: Add back metis, parmetis, superludist,
 and binutils exports (ATDV-369)

---
 cmake/std/atdm/van1-tx2/environment.sh | 4 ++++
 1 file changed, 4 insertions(+)

diff --git a/cmake/std/atdm/van1-tx2/environment.sh b/cmake/std/atdm/van1-tx2/environment.sh
index a3629e515bf1..46687b5e0951 100755
--- a/cmake/std/atdm/van1-tx2/environment.sh
+++ b/cmake/std/atdm/van1-tx2/environment.sh
@@ -69,6 +69,10 @@ if [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.0_OPENMPI-4.0.2" ]]; then
   export ZLIB_ROOT=${ZLIB_DIR}
   export CGNS_ROOT=${CGNS_DIR}
   export BOOST_ROOT=${BOOST_DIR}
+  export METIS_ROOT=${METIS_DIR}
+  export PARMETIS_ROOT=${PARMETIS_DIR}
+  export SUPERLUDIST_ROOT=${SUPERLU_DIST_DIR}
+  export BINUTILS_ROOT=${BINUTILS_DIR}
 
   module load git/2.19.2
 elif [[ "$ATDM_CONFIG_COMPILER" == "ARM-20.1_OPENMPI-4.0.3" ]]; then

From 830a683e877200756fc430e9d7930a1a38a04706 Mon Sep 17 00:00:00 2001
From: Evan Harvey <eharvey@sandia.gov>
Date: Mon, 22 Jun 2020 10:23:08 -0600
Subject: [PATCH 14/19] ATDM/van1-tx2: Promote arm-20.1 to Specialized group
 (ATDV-369)

---
 ...os-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh | 2 +-
 ...os-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
index e353f6481af6..eb51b2f6586a 100755
--- a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
+++ b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_dbg.sh
@@ -3,7 +3,7 @@
 #export SALLOC_CTEST_TIME_LIMIT_MINUTES=1:00:00
 
 if [ "${Trilinos_TRACK}" == "" ] ; then
-  export Trilinos_TRACK=Experimental
+  export Trilinos_TRACK=Specialized
 fi
 
 $WORKSPACE/Trilinos/cmake/ctest/drivers/atdm/van1-tx2/local-driver.sh
diff --git a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh
index e353f6481af6..eb51b2f6586a 100755
--- a/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh
+++ b/cmake/ctest/drivers/atdm/van1-tx2/drivers/Trilinos-atdm-van1-tx2_arm-20.1_openmpi-4.0.3_openmp_static_opt.sh
@@ -3,7 +3,7 @@
 #export SALLOC_CTEST_TIME_LIMIT_MINUTES=1:00:00
 
 if [ "${Trilinos_TRACK}" == "" ] ; then
-  export Trilinos_TRACK=Experimental
+  export Trilinos_TRACK=Specialized
 fi
 
 $WORKSPACE/Trilinos/cmake/ctest/drivers/atdm/van1-tx2/local-driver.sh

From e1d4af92550d71c2ffa41a6154f660b5d52fad39 Mon Sep 17 00:00:00 2001
From: Paul Wolfenbarger <prwolfe@sandia.gov>
Date: Mon, 22 Jun 2020 13:07:47 -0600
Subject: [PATCH 15/19] This just casts an unsigned to signed to avoid a
 compiler assert in a debug build.

Not sure how this was missed this long - found
when setting up a debug PR build.
---
 packages/pamgen/rtcompiler/Registrar.C | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/packages/pamgen/rtcompiler/Registrar.C b/packages/pamgen/rtcompiler/Registrar.C
index 4f07f5c9b7d5..a6b5521454c5 100644
--- a/packages/pamgen/rtcompiler/Registrar.C
+++ b/packages/pamgen/rtcompiler/Registrar.C
@@ -556,7 +556,7 @@ double Readline::execute(Value** args)
 
   string line;
   if (getline(curr_file, line)) {
-    assert(args[1]->getSize() > line.size()); // buffer needs to be big enough
+     assert(args[1]->getSize() > int(line.size())); // buffer needs to be big enough
     for (size_t i = 0; i < line.size(); ++i) {
       args[1]->setArrayValue(line[i], i);
     }

From 68c8734ceb20b1280c3e8abf25ca112dc1c05966 Mon Sep 17 00:00:00 2001
From: Denis Ridzal <dridzal@sandia.gov>
Date: Fri, 26 Jun 2020 13:25:10 -0600
Subject: [PATCH 16/19] Updating the Helmholtz KKT example with test scripts.

---
 .../example/PDE-OPT/published/CMakeLists.txt  |     1 +
 .../Helmholtz_KouriRidzal2019/sample_script.m |    81 -
 .../CMakeLists.txt                            |    16 +-
 .../README.md                                 |    27 +
 .../example_01.cpp                            |     0
 .../imshift.m                                 |    49 +
 .../input_ex01.xml                            |     0
 .../inputs/input_mesh0_wave5_damp0_imp0.xml   |    33 +
 .../inputs/input_mesh0_wave5_damp0_imp1.xml   |    33 +
 .../inputs/input_mesh0_wave5_damp1_imp0.xml   |    33 +
 .../inputs/input_mesh0_wave5_damp1_imp1.xml   |    33 +
 .../inputs/input_mesh1_wave10_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh1_wave10_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh1_wave10_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh1_wave10_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh1_wave5_damp0_imp0.xml   |    33 +
 .../inputs/input_mesh1_wave5_damp0_imp1.xml   |    33 +
 .../inputs/input_mesh1_wave5_damp1_imp0.xml   |    33 +
 .../inputs/input_mesh1_wave5_damp1_imp1.xml   |    33 +
 .../inputs/input_mesh2_wave10_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh2_wave10_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh2_wave10_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh2_wave10_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh2_wave20_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh2_wave20_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh2_wave20_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh2_wave20_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh2_wave5_damp0_imp0.xml   |    33 +
 .../inputs/input_mesh2_wave5_damp0_imp1.xml   |    33 +
 .../inputs/input_mesh2_wave5_damp1_imp0.xml   |    33 +
 .../inputs/input_mesh2_wave5_damp1_imp1.xml   |    33 +
 .../inputs/input_mesh3_wave10_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave10_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave10_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave10_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave20_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave20_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave20_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave20_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave40_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave40_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave40_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh3_wave40_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh3_wave5_damp0_imp0.xml   |    33 +
 .../inputs/input_mesh3_wave5_damp0_imp1.xml   |    33 +
 .../inputs/input_mesh3_wave5_damp1_imp0.xml   |    33 +
 .../inputs/input_mesh3_wave5_damp1_imp1.xml   |    33 +
 .../inputs/input_mesh4_wave10_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave10_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave10_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave10_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave20_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave20_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave20_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave20_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave40_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave40_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave40_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave40_damp1_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave5_damp0_imp0.xml   |    33 +
 .../inputs/input_mesh4_wave5_damp0_imp1.xml   |    33 +
 .../inputs/input_mesh4_wave5_damp1_imp0.xml   |    33 +
 .../inputs/input_mesh4_wave5_damp1_imp1.xml   |    33 +
 .../inputs/input_mesh4_wave80_damp0_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave80_damp0_imp1.xml  |    33 +
 .../inputs/input_mesh4_wave80_damp1_imp0.xml  |    33 +
 .../inputs/input_mesh4_wave80_damp1_imp1.xml  |    33 +
 .../mesh/README.md                            |    16 +
 .../mesh/helmholtz-mesh-0.e                   |   Bin
 .../mesh/helmholtz-mesh-0.txt                 | 13826 ++++
 .../mesh/helmholtz-mesh-1.e                   |   Bin 0 -> 1317440 bytes
 .../mesh/helmholtz-mesh-1.txt                 | 56140 ++++++++++++++++
 .../mesh/helmholtz-mesh.jou                   |     0
 .../obj_helmholtz.hpp                         |     0
 .../pde_helmholtz_imag.hpp                    |     0
 .../pde_helmholtz_real.hpp                    |     0
 .../Helmholtz_KouriRidzalTuminaro2020/prdw.m  |    48 +
 .../results/README.md                         |     1 +
 .../Helmholtz_KouriRidzalTuminaro2020/run.m   |   257 +
 .../Helmholtz_KouriRidzalTuminaro2020/study.m |    38 +
 80 files changed, 72397 insertions(+), 83 deletions(-)
 delete mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/sample_script.m
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/CMakeLists.txt (64%)
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/README.md
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/example_01.cpp (100%)
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/imshift.m
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/input_ex01.xml (100%)
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp0.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp1.xml
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/README.md
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/mesh/helmholtz-mesh-0.e (100%)
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.txt
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.e
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.txt
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/mesh/helmholtz-mesh.jou (100%)
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/obj_helmholtz.hpp (100%)
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/pde_helmholtz_imag.hpp (100%)
 rename packages/rol/example/PDE-OPT/published/{Helmholtz_KouriRidzal2019 => Helmholtz_KouriRidzalTuminaro2020}/pde_helmholtz_real.hpp (100%)
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/prdw.m
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/results/README.md
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/run.m
 create mode 100644 packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/study.m

diff --git a/packages/rol/example/PDE-OPT/published/CMakeLists.txt b/packages/rol/example/PDE-OPT/published/CMakeLists.txt
index 4476790726cc..2ab53424d422 100644
--- a/packages/rol/example/PDE-OPT/published/CMakeLists.txt
+++ b/packages/rol/example/PDE-OPT/published/CMakeLists.txt
@@ -1 +1,2 @@
 ADD_SUBDIRECTORY(IMAvolumes_KouriRidzal2017)
+ADD_SUBDIRECTORY(Helmholtz_KouriRidzalTuminaro2020)
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/sample_script.m b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/sample_script.m
deleted file mode 100644
index efd297fde897..000000000000
--- a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/sample_script.m
+++ /dev/null
@@ -1,81 +0,0 @@
-
-Adata = importdata('Amatrix.txt',' ',2); Adata = Adata.data;
-Bdata = importdata('Bmatrix.txt',' ',2); Bdata = Bdata.data;
-Ldata = importdata('Lmatrix.txt',' ',2); Ldata = Ldata.data;
-Cdata = importdata('Cmatrix.txt',' ',2); Cdata = Cdata.data;
-Rdata = importdata('Rmatrix.txt',' ',2); Rdata = Rdata.data;
-Mdata = importdata('Mmatrix.txt',' ',2); Mdata = Mdata.data;
-
-wrvec = importdata('WRvector.txt',' ',2); wrvec = wrvec.data;
-wivec = importdata('WIvector.txt',' ',2); wivec = wivec.data;
-
-Amat = sparse(Adata(:,1),Adata(:,2),Adata(:,3));
-Bmat = sparse(Bdata(:,1),Bdata(:,2),Bdata(:,3));
-Lmat = sparse(Ldata(:,1),Ldata(:,2),Ldata(:,3));
-Cmat = sparse(Cdata(:,1),Cdata(:,2),Cdata(:,3));
-Rmat = sparse(Rdata(:,1),Rdata(:,2),Rdata(:,3));
-Mmat = sparse(Mdata(:,1),Mdata(:,2),Mdata(:,3));
-
-Kmat = Amat - sqrt(-1)*Bmat;
-
-beta = 1e-4;
-
-Zmat = 0*Kmat;
-kkt  = [ Cmat      Zmat Kmat';
-         Zmat beta*Rmat Lmat';
-         Kmat      Lmat Zmat ];
-
-w0   = wrvec + sqrt(-1)*wivec;
-zvec = 0*w0;
-rhs  = [ w0;
-         zvec;
-         zvec ];
-
-sol  = kkt \ rhs;
-
-adj   = load('cell_to_node_quad.txt') + 1;       %% load node adjacency, increment by 1 for 1-based indexing
-nodes = load('nodes.txt');                       %% load node coordinates
-map   = importdata('map.txt');
-map   = map.data(1:2:end)+1;
-[tmp, perm] = sort(map);
-n     = length(w0);
-u     = sol(1:n);
-u     = u(perm);
-z     = sol(n+1:2*n);
-z     = z(perm);
-
-figure, trisurf(adj, nodes(:,1), nodes(:,2), real(u));
-shading interp;
-view(0,90)
-axis('equal','tight');
-xlabel('x');
-ylabel('y');
-title('State: Real Part');
-axis square
-
-figure, trisurf(adj, nodes(:,1), nodes(:,2), imag(u));
-shading interp;
-view(0,90)
-axis('equal','tight');
-xlabel('x');
-ylabel('y');
-title('State: Imaginary Part');
-axis square
-
-figure, trisurf(adj, nodes(:,1), nodes(:,2), real(z));
-shading interp;
-view(0,90)
-axis('equal','tight');
-xlabel('x');
-ylabel('y');
-title('Control: Real Part');
-axis square
-
-figure, trisurf(adj, nodes(:,1), nodes(:,2), imag(z));
-shading interp;
-view(0,90)
-axis('equal','tight');
-xlabel('x');
-ylabel('y');
-title('Control: Imaginary Part');
-axis square
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/CMakeLists.txt b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/CMakeLists.txt
similarity index 64%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/CMakeLists.txt
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/CMakeLists.txt
index 03008c02a48f..71a29e6a20ac 100644
--- a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/CMakeLists.txt
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/CMakeLists.txt
@@ -14,13 +14,25 @@ IF(${PROJECT_NAME}_ENABLE_Intrepid AND
     ADD_DIR_TO_NAME
   )
 
+  FILE(GLOB INP_FILES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} inputs/*.xml)
+
   TRIBITS_COPY_FILES_TO_BINARY_DIR(
-    HelmholtzKouriRidzal2019DataCopy
+    HelmholtzKouriRidzalTuminaro2020DataCopy
     SOURCE_FILES
       input_ex01.xml
-      sample_script.m
+      README.md
+      study.m
+      run.m
+      prdw.m
+      imshift.m
+      mesh/README.md
       mesh/helmholtz-mesh-0.e
+      mesh/helmholtz-mesh-1.e
+      mesh/helmholtz-mesh-0.txt
+      mesh/helmholtz-mesh-1.txt
       mesh/helmholtz-mesh.jou
+      results/README.md
+      ${INP_FILES}
     SOURCE_DIR "${CMAKE_CURRENT_SOURCE_DIR}"
     DEST_DIR "${CMAKE_CURRENT_BINARY_DIR}"
   )
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/README.md b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/README.md
new file mode 100644
index 000000000000..631a690ee734
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/README.md
@@ -0,0 +1,27 @@
+This subdirectory of the *ROL* package, i.e.,
+
+/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019
+
+accompanies the paper
+
+D. P. Kouri, D. Ridzal, R. Tuminaro, "KKT Preconditioners for
+PDE-Constrained Optimization with the Helmholtz Equation"
+
+To reproduce the numerical results, follow these steps:
+
+1. Build Trilinos, with the ROL package and all its dependencies
+   enabled.  For help building Trilinos, consult the Trilinos
+   community or ROL developers.  In the main Trilinos build
+   directory, you should see the subdirectory
+
+   /packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019
+
+2. Obtain Matlab.  The code has been tested with Matlab R2019a.
+   Start Matlab in command-line mode in the above subdirectory.
+   Run
+   >> study
+
+3. To change study parameters, edit the study.m file.  The file
+   contains descriptions of all parameters, and references to
+   running the tests on finer meshes.
+
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/example_01.cpp b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/example_01.cpp
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/example_01.cpp
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/example_01.cpp
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/imshift.m b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/imshift.m
new file mode 100644
index 000000000000..a70f05b99a56
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/imshift.m
@@ -0,0 +1,49 @@
+function [y] = imshift( x, usr_par)
+%
+%   compute and/or apply a complex-shift KKT preconditioner
+%
+
+  global GLB_PROB;
+
+  nu = GLB_PROB.nu;
+  nz = GLB_PROB.nz;
+
+  beta = GLB_PROB.beta;
+  r = sqrt(-1)/sqrt(beta);
+  K = GLB_PROB.K;
+  M = GLB_PROB.M;
+  C = GLB_PROB.C;
+  R = GLB_PROB.R;
+  J = GLB_PROB.J;
+  A1 = K - r*M;
+
+  A2 = ctranspose(A1);
+
+  y = zeros(size(x));
+
+  if (GLB_PROB.reuse_factors)
+    if (~GLB_PROB.factors_computed)
+      fprintf("  Computing factors (to be reused) ...\n  ");
+      tic
+      [GLB_PROB.LC, GLB_PROB.UC, GLB_PROB.PC, GLB_PROB.QC]     = lu(C);
+      [GLB_PROB.LR, GLB_PROB.UR, GLB_PROB.PR, GLB_PROB.QR]     = lu(R);
+      [GLB_PROB.LA1, GLB_PROB.UA1, GLB_PROB.PA1, GLB_PROB.QA1] = lu(A1);
+      %[GLB_PROB.LA2, GLB_PROB.UA2, GLB_PROB.PA2, GLB_PROB.QA2] = lu(A2);
+      toc
+      GLB_PROB.factors_computed = true;
+    end
+    y(1:nu)         = GLB_PROB.QC * (GLB_PROB.UC \ (GLB_PROB.LC \ (GLB_PROB.PC * x(1:nu))));
+    y(nu+1:nu+nz)   = (1/beta) * ( GLB_PROB.QR * (GLB_PROB.UR \ (GLB_PROB.LR \ (GLB_PROB.PR * x(nu+1:nu+nz)))) );
+    tmp             = M * ( GLB_PROB.QA1 * (GLB_PROB.UA1 \ (GLB_PROB.LA1 \ (GLB_PROB.PA1 * x(nu+nz+1:end)))) );
+    y(nu+nz+1:end)  = GLB_PROB.PA1' * (GLB_PROB.LA1' \ (GLB_PROB.UA1' \ (GLB_PROB.QA1' * tmp)));
+    %y(nu+nz+1:end)  = GLB_PROB.QA2 * (GLB_PROB.UA2 \ (GLB_PROB.LA2 \ (GLB_PROB.PA2 * tmp)));
+  else
+    y(1:nu)         = C \ x(1:nu);
+    y(nu+1:nu+nz)   = (1/beta) * (R \ x(nu+1:nu+nz));
+    y(nu+nz+1:end)  = A2 \ (M * (A1 \ x(nu+nz+1:end)));
+  end
+
+
+  GLB_PROB.ct = GLB_PROB.ct + 1;
+
+end % function imshift
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/input_ex01.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/input_ex01.xml
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/input_ex01.xml
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/input_ex01.xml
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp0.xml
new file mode 100644
index 000000000000..56f7e4d14336
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-0.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp1.xml
new file mode 100644
index 000000000000..3e74d46acb52
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-0.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp0.xml
new file mode 100644
index 000000000000..690b20bba682
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-0.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp1.xml
new file mode 100644
index 000000000000..4ff11d5af510
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh0_wave5_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-0.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp0.xml
new file mode 100644
index 000000000000..44e5ecd04ea5
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp1.xml
new file mode 100644
index 000000000000..f2b061a4f603
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp0.xml
new file mode 100644
index 000000000000..8d54bfca026e
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp1.xml
new file mode 100644
index 000000000000..95a4e106a160
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave10_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp0.xml
new file mode 100644
index 000000000000..360dda0e156c
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp1.xml
new file mode 100644
index 000000000000..769b3ff78421
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp0.xml
new file mode 100644
index 000000000000..5c82af274c4e
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp1.xml
new file mode 100644
index 000000000000..83f826dc0e0d
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh1_wave5_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-1.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp0.xml
new file mode 100644
index 000000000000..67197d84dfd4
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp1.xml
new file mode 100644
index 000000000000..015e81674aa3
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp0.xml
new file mode 100644
index 000000000000..25eb7e8d7cb3
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp1.xml
new file mode 100644
index 000000000000..244f0e4a2d2c
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave10_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp0.xml
new file mode 100644
index 000000000000..3b79c7955dcf
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp1.xml
new file mode 100644
index 000000000000..d9db6a117cc7
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp0.xml
new file mode 100644
index 000000000000..e68ed5fe8a65
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp1.xml
new file mode 100644
index 000000000000..0957c801f948
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave20_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp0.xml
new file mode 100644
index 000000000000..07d11f9fc5a2
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp1.xml
new file mode 100644
index 000000000000..55d66d397ec8
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp0.xml
new file mode 100644
index 000000000000..23b27b54d644
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp1.xml
new file mode 100644
index 000000000000..47f3ab0d0ed8
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh2_wave5_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-2.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp0.xml
new file mode 100644
index 000000000000..54c839cf09dc
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp1.xml
new file mode 100644
index 000000000000..62feb98e237f
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp0.xml
new file mode 100644
index 000000000000..178a819f0c2e
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp1.xml
new file mode 100644
index 000000000000..4a202665eb1d
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave10_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp0.xml
new file mode 100644
index 000000000000..6261886df726
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp1.xml
new file mode 100644
index 000000000000..f2f15e568b5f
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp0.xml
new file mode 100644
index 000000000000..95190203b6a3
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp1.xml
new file mode 100644
index 000000000000..1aa8b16dab58
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave20_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp0.xml
new file mode 100644
index 000000000000..b0ba52204976
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp1.xml
new file mode 100644
index 000000000000..e10c40f702ca
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp0.xml
new file mode 100644
index 000000000000..598f66a7dcbe
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp1.xml
new file mode 100644
index 000000000000..a7cff19998c1
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave40_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp0.xml
new file mode 100644
index 000000000000..f92ba4c39ea7
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp1.xml
new file mode 100644
index 000000000000..cd6af522c13d
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp0.xml
new file mode 100644
index 000000000000..322ebc2314a7
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp1.xml
new file mode 100644
index 000000000000..f6ec64059c83
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh3_wave5_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-3.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp0.xml
new file mode 100644
index 000000000000..f7a89bd879ee
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp1.xml
new file mode 100644
index 000000000000..3670c4235b8c
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp0.xml
new file mode 100644
index 000000000000..24f60f0b893f
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp1.xml
new file mode 100644
index 000000000000..31d23f9a9691
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave10_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="10.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp0.xml
new file mode 100644
index 000000000000..24eadfe82ab7
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp1.xml
new file mode 100644
index 000000000000..94090e4671ce
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp0.xml
new file mode 100644
index 000000000000..46cac11de825
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp1.xml
new file mode 100644
index 000000000000..56fa7c071199
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave20_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="20.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp0.xml
new file mode 100644
index 000000000000..dcd77e4989f3
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp1.xml
new file mode 100644
index 000000000000..5357d46e6120
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp0.xml
new file mode 100644
index 000000000000..798221dfd62d
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp1.xml
new file mode 100644
index 000000000000..fed9432c75fb
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave40_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="40.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp0.xml
new file mode 100644
index 000000000000..8c7d3dd32127
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp1.xml
new file mode 100644
index 000000000000..f0b363e14655
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp0.xml
new file mode 100644
index 000000000000..05320ee8fb94
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp1.xml
new file mode 100644
index 000000000000..fe7011ff859a
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave5_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="5.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp0.xml
new file mode 100644
index 000000000000..eaa0b62601a5
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="80.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp1.xml
new file mode 100644
index 000000000000..8fa518ba4510
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp0_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="80.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="0.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp0.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp0.xml
new file mode 100644
index 000000000000..e78e204799fe
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp0.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="80.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="0.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp1.xml b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp1.xml
new file mode 100644
index 000000000000..cc5ced8bd270
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/inputs/input_mesh4_wave80_damp1_imp1.xml
@@ -0,0 +1,33 @@
+<ParameterList name="Inputs">
+  <!-- ===========  PROBLEM INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Problem">
+    <!-- OUTPUT -->
+    <Parameter name="Check derivatives"           type="bool"    value="false"         />
+    <!-- PROBLEM INFORMATION -->
+    <Parameter name="Example"                     type="int"     value="1"             />
+    <Parameter name="Target Angle"                type="double"  value="45.0"          />
+    <Parameter name="Wave Number"                 type="double"  value="80.0"          />
+    <Parameter name="Damping Factor"              type="double"  value="1.0"           />
+    <Parameter name="Impedance Factor"            type="double"  value="1.0"           />
+    <!-- FINITE ELEMENT INFORMATION -->
+    <Parameter name="Cubature Degree"             type="int"     value="2"             />
+  </ParameterList>
+
+  <!-- ===========  MESH INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Mesh">
+    <Parameter name="File Name" type="string" value="mesh/helmholtz-mesh-4.txt" />
+  </ParameterList>
+
+  <!-- ===========  GEOMETRY INPUT PARAMETER SUBLIST  =========== -->
+  <ParameterList name="Geometry">
+    <!-- === rectangle === -->
+    <Parameter name="Width"             type="double"  value="10.0"  />
+    <Parameter name="Height"            type="double"  value="10.0"  />
+    <Parameter name="X0"                type="double"  value="-5.0"  />
+    <Parameter name="Y0"                type="double"  value="-5.0"  />
+    <Parameter name="NX"                type="int"     value="000"    />
+    <Parameter name="NY"                type="int"     value="000"    />
+    <Parameter name="Partition type"    type="int"     value="1"     />
+  </ParameterList>
+
+</ParameterList>
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/README.md b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/README.md
new file mode 100644
index 000000000000..622b1d0bfac6
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/README.md
@@ -0,0 +1,16 @@
+Meshes with resolutions 0 and 1 are provided as txt files.
+To generate additional meshes, the meshing tool Cubit (Sandia
+National Labs) and the tool ncdump must be used.
+
+Follow these steps:
+
+1. Modify the Nrefine parameter in the provided helmholtz.jou file,
+   with 0, 1, 2, 3, 4, etc.  The provided txt mesh files correspond
+   to Nrefine = 0 and Nrefine = 1.
+
+2. Run helmholtz.jou in Cubit, and save the resulting mesh as the
+   helmholtz-mesh-N.e Exodus file, where N = Nrefine, in the
+   mesh subdirectory.
+
+3. Run
+   >> ncdump helmholtz-mesh-N.e > helmholtz-mesh-N.txt
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/mesh/helmholtz-mesh-0.e b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.e
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/mesh/helmholtz-mesh-0.e
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.e
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.txt b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.txt
new file mode 100644
index 000000000000..5365bc15ea35
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-0.txt
@@ -0,0 +1,13826 @@
+netcdf helmholtz-mesh-0 {
+dimensions:
+	len_string = 33 ;
+	len_line = 81 ;
+	four = 4 ;
+	len_name = 33 ;
+	time_step = UNLIMITED ; // (0 currently)
+	num_dim = 2 ;
+	num_nodes = 7491 ;
+	num_elem = 7424 ;
+	num_el_blk = 1 ;
+	num_side_sets = 1 ;
+	num_el_in_blk1 = 7424 ;
+	num_nod_per_el1 = 4 ;
+	num_side_ss1 = 132 ;
+	num_df_ss1 = 264 ;
+	num_qa_rec = 1 ;
+variables:
+	double time_whole(time_step) ;
+	int eb_status(num_el_blk) ;
+	int eb_prop1(num_el_blk) ;
+		eb_prop1:name = "ID" ;
+	int ss_status(num_side_sets) ;
+	int ss_prop1(num_side_sets) ;
+		ss_prop1:name = "ID" ;
+	double coordx(num_nodes) ;
+	double coordy(num_nodes) ;
+	char eb_names(num_el_blk, len_name) ;
+	char ss_names(num_side_sets, len_name) ;
+	char coor_names(num_dim, len_name) ;
+	int connect1(num_el_in_blk1, num_nod_per_el1) ;
+		connect1:elem_type = "QUAD" ;
+	int elem_ss1(num_side_ss1) ;
+	int side_ss1(num_side_ss1) ;
+	double dist_fact_ss1(num_df_ss1) ;
+	char qa_records(num_qa_rec, four, len_string) ;
+	int elem_map(num_elem) ;
+	int elem_num_map(num_elem) ;
+	int node_num_map(num_nodes) ;
+
+// global attributes:
+		:api_version = 6.05f ;
+		:version = 6.05f ;
+		:floating_point_word_size = 8 ;
+		:file_size = 1 ;
+		:maximum_name_length = 32 ;
+		:int64_status = 0 ;
+		:title = "cubit(blished/Helmholtz_KouriRidzal2019/mesh/helmholtz-mesh-0.e): 10/15/2019: 15" ;
+data:
+
+ eb_status = 1 ;
+
+ eb_prop1 = 1 ;
+
+ ss_status = 1 ;
+
+ ss_prop1 = 1 ;
+
+ coordx = 2, 1.99773467836602, 1.92787671826128, 1.93055555555556, 
+    1.99094384514617, 1.92098664101906, 1.97964288376187, 1.90989963895713, 
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+    1.44746807621014, 1.40726062964875, 1.38015802296422, 1.34107716978296, 
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+    1.12991508723695, 1.06389569038667, 0.996002323945955, 0.92635049563136, 
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+    0.0778788422061663, 9.84519975785127e-17, 1.54324700850817, 
+    1.54820261437909, 1.53581050535449, 1.52590153814987, 1.51353414105244, 
+    1.49872791735476, 1.48150799507606, 1.46190497003917, 1.43995483656114, 
+    1.41569890591457, 1.38918371274427, 1.36046090965131, 1.32958715018328, 
+    1.29662396049579, 1.26163759997592, 1.22469891114341, 1.18588315916955, 
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+    0.86973368424021, 0.80209385738907, 0.73321217529577, 0.663192391186263, 
+    0.592140836453619, 0.520166179783224, 0.447379180983253, 
+    0.37389244007808, 0.299820142233011, 0.225277799088154, 
+    0.150381987087403, 0.0752500833952991, 9.48000688065455e-17, 
+    1.48489506536187, 1.49019607843137, 1.47737566426008, 1.46764541601885, 
+    1.45571686981088, 1.44160755466081, 1.42533993973636, 1.40694138344838, 
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+    1.28427555163172, 1.25393049938197, 1.22177635249819, 1.18787645749581, 
+    1.15229811557121, 1.09325858313938, 1.03268645177239, 0.970659937868292, 
+    0.90726055246936, 0.842572916613375, 0.776684569639746, 
+    0.709685770884753, 0.641669295215118, 0.572730222863096, 
+    0.502965724039165, 0.432474838810247, 0.361358252742104, 
+    0.289718068814142, 0.21765757612333, 0.145281015901167, 
+    0.0726933453737708, 9.12481928776459e-17, 1.42818683892391, 
+    1.43382352941176, 1.42058687502748, 1.41103031141265, 1.39952825409725, 
+    1.3860962162681, 1.37075408313861, 1.35352606690241, 1.33444065188493, 
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+    1.35605622433127, 1.34496829391156, 1.33219390217663, 1.31775042528283, 
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+    1.22921634689739, 1.21648970579716, 1.20256973753337, 1.18747446608593, 
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+    1.18014110570963, 1.16823264416727, 1.15534750116664, 1.14150042847702, 
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+  7329, 7353, 7354, 7330,
+  7330, 7354, 7355, 7331,
+  7331, 7355, 7356, 7332,
+  7332, 7356, 7357, 7333,
+  7333, 7357, 7358, 7334,
+  7334, 7358, 7359, 7335,
+  7335, 7359, 7360, 7336,
+  7336, 7360, 7361, 7337,
+  7337, 7361, 7362, 7338,
+  7338, 7362, 7363, 7339,
+  7339, 7363, 7364, 7340,
+  7340, 7364, 7365, 7341,
+  7341, 7365, 7366, 7342,
+  7342, 7366, 7367, 7343,
+  7343, 7367, 7368, 7344,
+  7344, 7368, 7369, 7345,
+  7345, 7369, 7370, 7346,
+  7346, 7370, 7371, 7347,
+  4318, 4319, 7372, 7348,
+  7348, 7372, 7373, 7349,
+  7349, 7373, 7374, 7350,
+  7350, 7374, 7375, 7351,
+  7351, 7375, 7376, 7352,
+  7352, 7376, 7377, 7353,
+  7353, 7377, 7378, 7354,
+  7354, 7378, 7379, 7355,
+  7355, 7379, 7380, 7356,
+  7356, 7380, 7381, 7357,
+  7357, 7381, 7382, 7358,
+  7358, 7382, 7383, 7359,
+  7359, 7383, 7384, 7360,
+  7360, 7384, 7385, 7361,
+  7361, 7385, 7386, 7362,
+  7362, 7386, 7387, 7363,
+  7363, 7387, 7388, 7364,
+  7364, 7388, 7389, 7365,
+  7365, 7389, 7390, 7366,
+  7366, 7390, 7391, 7367,
+  7367, 7391, 7392, 7368,
+  7368, 7392, 7393, 7369,
+  7369, 7393, 7394, 7370,
+  7370, 7394, 7395, 7371,
+  4319, 4320, 7396, 7372,
+  7372, 7396, 7397, 7373,
+  7373, 7397, 7398, 7374,
+  7374, 7398, 7399, 7375,
+  7375, 7399, 7400, 7376,
+  7376, 7400, 7401, 7377,
+  7377, 7401, 7402, 7378,
+  7378, 7402, 7403, 7379,
+  7379, 7403, 7404, 7380,
+  7380, 7404, 7405, 7381,
+  7381, 7405, 7406, 7382,
+  7382, 7406, 7407, 7383,
+  7383, 7407, 7408, 7384,
+  7384, 7408, 7409, 7385,
+  7385, 7409, 7410, 7386,
+  7386, 7410, 7411, 7387,
+  7387, 7411, 7412, 7388,
+  7388, 7412, 7413, 7389,
+  7389, 7413, 7414, 7390,
+  7390, 7414, 7415, 7391,
+  7391, 7415, 7416, 7392,
+  7392, 7416, 7417, 7393,
+  7393, 7417, 7418, 7394,
+  7394, 7418, 7419, 7395,
+  4320, 4321, 7420, 7396,
+  7396, 7420, 7421, 7397,
+  7397, 7421, 7422, 7398,
+  7398, 7422, 7423, 7399,
+  7399, 7423, 7424, 7400,
+  7400, 7424, 7425, 7401,
+  7401, 7425, 7426, 7402,
+  7402, 7426, 7427, 7403,
+  7403, 7427, 7428, 7404,
+  7404, 7428, 7429, 7405,
+  7405, 7429, 7430, 7406,
+  7406, 7430, 7431, 7407,
+  7407, 7431, 7432, 7408,
+  7408, 7432, 7433, 7409,
+  7409, 7433, 7434, 7410,
+  7410, 7434, 7435, 7411,
+  7411, 7435, 7436, 7412,
+  7412, 7436, 7437, 7413,
+  7413, 7437, 7438, 7414,
+  7414, 7438, 7439, 7415,
+  7415, 7439, 7440, 7416,
+  7416, 7440, 7441, 7417,
+  7417, 7441, 7442, 7418,
+  7418, 7442, 7443, 7419,
+  4321, 4322, 7444, 7420,
+  7420, 7444, 7445, 7421,
+  7421, 7445, 7446, 7422,
+  7422, 7446, 7447, 7423,
+  7423, 7447, 7448, 7424,
+  7424, 7448, 7449, 7425,
+  7425, 7449, 7450, 7426,
+  7426, 7450, 7451, 7427,
+  7427, 7451, 7452, 7428,
+  7428, 7452, 7453, 7429,
+  7429, 7453, 7454, 7430,
+  7430, 7454, 7455, 7431,
+  7431, 7455, 7456, 7432,
+  7432, 7456, 7457, 7433,
+  7433, 7457, 7458, 7434,
+  7434, 7458, 7459, 7435,
+  7435, 7459, 7460, 7436,
+  7436, 7460, 7461, 7437,
+  7437, 7461, 7462, 7438,
+  7438, 7462, 7463, 7439,
+  7439, 7463, 7464, 7440,
+  7440, 7464, 7465, 7441,
+  7441, 7465, 7466, 7442,
+  7442, 7466, 7467, 7443,
+  4322, 4323, 7468, 7444,
+  7444, 7468, 7469, 7445,
+  7445, 7469, 7470, 7446,
+  7446, 7470, 7471, 7447,
+  7447, 7471, 7472, 7448,
+  7448, 7472, 7473, 7449,
+  7449, 7473, 7474, 7450,
+  7450, 7474, 7475, 7451,
+  7451, 7475, 7476, 7452,
+  7452, 7476, 7477, 7453,
+  7453, 7477, 7478, 7454,
+  7454, 7478, 7479, 7455,
+  7455, 7479, 7480, 7456,
+  7456, 7480, 7481, 7457,
+  7457, 7481, 7482, 7458,
+  7458, 7482, 7483, 7459,
+  7459, 7483, 7484, 7460,
+  7460, 7484, 7485, 7461,
+  7461, 7485, 7486, 7462,
+  7462, 7486, 7487, 7463,
+  7463, 7487, 7488, 7464,
+  7464, 7488, 7489, 7465,
+  7465, 7489, 7490, 7466,
+  7466, 7490, 7491, 7467,
+  4323, 4193, 4325, 7468,
+  7468, 4325, 4327, 7469,
+  7469, 4327, 4329, 7470,
+  7470, 4329, 4331, 7471,
+  7471, 4331, 4333, 7472,
+  7472, 4333, 4335, 7473,
+  7473, 4335, 4337, 7474,
+  7474, 4337, 4339, 7475,
+  7475, 4339, 4341, 7476,
+  7476, 4341, 4343, 7477,
+  7477, 4343, 4345, 7478,
+  7478, 4345, 4347, 7479,
+  7479, 4347, 4349, 7480,
+  7480, 4349, 4351, 7481,
+  7481, 4351, 4353, 7482,
+  7482, 4353, 4355, 7483,
+  7483, 4355, 4357, 7484,
+  7484, 4357, 4359, 7485,
+  7485, 4359, 4361, 7486,
+  7486, 4361, 4363, 7487,
+  7487, 4363, 4365, 7488,
+  7488, 4365, 4367, 7489,
+  7489, 4367, 4369, 7490,
+  7490, 4369, 4371, 7491 ;
+
+ elem_ss1 = 7016, 6992, 6968, 6944, 6920, 6896, 6872, 6848, 6824, 6800, 6776, 
+    6752, 6728, 6704, 6680, 6656, 6632, 6608, 6584, 6560, 6536, 6512, 6488, 
+    6464, 6440, 6416, 6392, 6368, 6344, 6320, 6296, 6272, 6248, 6224, 6200, 
+    6176, 6152, 6128, 6104, 6080, 6056, 6032, 6008, 5984, 5960, 5936, 5912, 
+    5888, 5864, 5840, 5816, 5792, 5768, 5744, 5720, 5696, 5672, 5648, 5624, 
+    5600, 5576, 5552, 5528, 5504, 5480, 5456, 5432, 5408, 5384, 5360, 5336, 
+    5312, 5288, 5264, 5240, 5216, 5192, 5168, 5144, 5120, 5096, 5072, 5048, 
+    5024, 5000, 4976, 4952, 4928, 4904, 4880, 4856, 4832, 4808, 4784, 4760, 
+    4736, 4712, 4688, 4664, 4640, 4616, 4592, 4568, 4544, 4520, 4496, 4472, 
+    4448, 4424, 4400, 4376, 4352, 4328, 4304, 4280, 7424, 7400, 7376, 7352, 
+    7328, 7304, 7280, 7256, 7232, 7208, 7184, 7160, 7136, 7112, 7088, 7064, 
+    7040 ;
+
+ side_ss1 = 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
+    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ;
+
+ dist_fact_ss1 = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1 ;
+
+ qa_records =
+  "CUBIT",
+  "15.2",
+  "10/15/2019",
+  "15:20:36" ;
+
+ elem_map = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 
+    19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 
+    37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 
+    55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 
+    73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 
+    91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 
+    107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 
+    121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 
+    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 
+    149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 
+    163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 
+    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 
+    191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 
+    205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 
+    219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 
+    233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 
+    247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 
+    261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 
+    275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 
+    289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 
+    303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 
+    317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 
+    331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 
+    345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 
+    359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 
+    373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 
+    387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 
+    401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 
+    415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 
+    429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 
+    443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 
+    457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 
+    471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 
+    485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 
+    499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 
+    513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 
+    527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 
+    541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 
+    555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 
+    569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 
+    583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 
+    597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 
+    611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 
+    625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 
+    639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 
+    653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 
+    667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 
+    681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 
+    695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 
+    709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 
+    723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 
+    737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 
+    751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 
+    765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 
+    779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 
+    793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 
+    807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 
+    821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 
+    835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 
+    849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 
+    863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 
+    877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 
+    891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 
+    905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 
+    919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 
+    933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 
+    947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 
+    961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 
+    975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 
+    989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 
+    1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 
+    1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 
+    1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 
+    1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 
+    1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 
+    1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 
+    1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 
+    1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 
+    1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 
+    1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 
+    1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 
+    1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 
+    1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 
+    1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 
+    1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 
+    1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 
+    1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 
+    1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 
+    1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 
+    1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 
+    1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 
+    1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 
+    1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 
+    1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 
+    1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 
+    1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 
+    1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 
+    1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 
+    1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 
+    1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 
+    1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 
+    1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 
+    1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 
+    1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 
+    1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 
+    1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 
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+    6355, 6356, 6357, 6358, 6359, 6360, 6361, 6362, 6363, 6364, 6365, 6366, 
+    6367, 6368, 6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377, 6378, 
+    6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386, 6387, 6388, 6389, 6390, 
+    6391, 6392, 6393, 6394, 6395, 6396, 6397, 6398, 6399, 6400, 6401, 6402, 
+    6403, 6404, 6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413, 6414, 
+    6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422, 6423, 6424, 6425, 6426, 
+    6427, 6428, 6429, 6430, 6431, 6432, 6433, 6434, 6435, 6436, 6437, 6438, 
+    6439, 6440, 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449, 6450, 
+    6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458, 6459, 6460, 6461, 6462, 
+    6463, 6464, 6465, 6466, 6467, 6468, 6469, 6470, 6471, 6472, 6473, 6474, 
+    6475, 6476, 6477, 6478, 6479, 6480, 6481, 6482, 6483, 6484, 6485, 6486, 
+    6487, 6488, 6489, 6490, 6491, 6492, 6493, 6494, 6495, 6496, 6497, 6498, 
+    6499, 6500, 6501, 6502, 6503, 6504, 6505, 6506, 6507, 6508, 6509, 6510, 
+    6511, 6512, 6513, 6514, 6515, 6516, 6517, 6518, 6519, 6520, 6521, 6522, 
+    6523, 6524, 6525, 6526, 6527, 6528, 6529, 6530, 6531, 6532, 6533, 6534, 
+    6535, 6536, 6537, 6538, 6539, 6540, 6541, 6542, 6543, 6544, 6545, 6546, 
+    6547, 6548, 6549, 6550, 6551, 6552, 6553, 6554, 6555, 6556, 6557, 6558, 
+    6559, 6560, 6561, 6562, 6563, 6564, 6565, 6566, 6567, 6568, 6569, 6570, 
+    6571, 6572, 6573, 6574, 6575, 6576, 6577, 6578, 6579, 6580, 6581, 6582, 
+    6583, 6584, 6585, 6586, 6587, 6588, 6589, 6590, 6591, 6592, 6593, 6594, 
+    6595, 6596, 6597, 6598, 6599, 6600, 6601, 6602, 6603, 6604, 6605, 6606, 
+    6607, 6608, 6609, 6610, 6611, 6612, 6613, 6614, 6615, 6616, 6617, 6618, 
+    6619, 6620, 6621, 6622, 6623, 6624, 6625, 6626, 6627, 6628, 6629, 6630, 
+    6631, 6632, 6633, 6634, 6635, 6636, 6637, 6638, 6639, 6640, 6641, 6642, 
+    6643, 6644, 6645, 6646, 6647, 6648, 6649, 6650, 6651, 6652, 6653, 6654, 
+    6655, 6656, 6657, 6658, 6659, 6660, 6661, 6662, 6663, 6664, 6665, 6666, 
+    6667, 6668, 6669, 6670, 6671, 6672, 6673, 6674, 6675, 6676, 6677, 6678, 
+    6679, 6680, 6681, 6682, 6683, 6684, 6685, 6686, 6687, 6688, 6689, 6690, 
+    6691, 6692, 6693, 6694, 6695, 6696, 6697, 6698, 6699, 6700, 6701, 6702, 
+    6703, 6704, 6705, 6706, 6707, 6708, 6709, 6710, 6711, 6712, 6713, 6714, 
+    6715, 6716, 6717, 6718, 6719, 6720, 6721, 6722, 6723, 6724, 6725, 6726, 
+    6727, 6728, 6729, 6730, 6731, 6732, 6733, 6734, 6735, 6736, 6737, 6738, 
+    6739, 6740, 6741, 6742, 6743, 6744, 6745, 6746, 6747, 6748, 6749, 6750, 
+    6751, 6752, 6753, 6754, 6755, 6756, 6757, 6758, 6759, 6760, 6761, 6762, 
+    6763, 6764, 6765, 6766, 6767, 6768, 6769, 6770, 6771, 6772, 6773, 6774, 
+    6775, 6776, 6777, 6778, 6779, 6780, 6781, 6782, 6783, 6784, 6785, 6786, 
+    6787, 6788, 6789, 6790, 6791, 6792, 6793, 6794, 6795, 6796, 6797, 6798, 
+    6799, 6800, 6801, 6802, 6803, 6804, 6805, 6806, 6807, 6808, 6809, 6810, 
+    6811, 6812, 6813, 6814, 6815, 6816, 6817, 6818, 6819, 6820, 6821, 6822, 
+    6823, 6824, 6825, 6826, 6827, 6828, 6829, 6830, 6831, 6832, 6833, 6834, 
+    6835, 6836, 6837, 6838, 6839, 6840, 6841, 6842, 6843, 6844, 6845, 6846, 
+    6847, 6848, 6849, 6850, 6851, 6852, 6853, 6854, 6855, 6856, 6857, 6858, 
+    6859, 6860, 6861, 6862, 6863, 6864, 6865, 6866, 6867, 6868, 6869, 6870, 
+    6871, 6872, 6873, 6874, 6875, 6876, 6877, 6878, 6879, 6880, 6881, 6882, 
+    6883, 6884, 6885, 6886, 6887, 6888, 6889, 6890, 6891, 6892, 6893, 6894, 
+    6895, 6896, 6897, 6898, 6899, 6900, 6901, 6902, 6903, 6904, 6905, 6906, 
+    6907, 6908, 6909, 6910, 6911, 6912, 6913, 6914, 6915, 6916, 6917, 6918, 
+    6919, 6920, 6921, 6922, 6923, 6924, 6925, 6926, 6927, 6928, 6929, 6930, 
+    6931, 6932, 6933, 6934, 6935, 6936, 6937, 6938, 6939, 6940, 6941, 6942, 
+    6943, 6944, 6945, 6946, 6947, 6948, 6949, 6950, 6951, 6952, 6953, 6954, 
+    6955, 6956, 6957, 6958, 6959, 6960, 6961, 6962, 6963, 6964, 6965, 6966, 
+    6967, 6968, 6969, 6970, 6971, 6972, 6973, 6974, 6975, 6976, 6977, 6978, 
+    6979, 6980, 6981, 6982, 6983, 6984, 6985, 6986, 6987, 6988, 6989, 6990, 
+    6991, 6992, 6993, 6994, 6995, 6996, 6997, 6998, 6999, 7000, 7001, 7002, 
+    7003, 7004, 7005, 7006, 7007, 7008, 7009, 7010, 7011, 7012, 7013, 7014, 
+    7015, 7016, 7017, 7018, 7019, 7020, 7021, 7022, 7023, 7024, 7025, 7026, 
+    7027, 7028, 7029, 7030, 7031, 7032, 7033, 7034, 7035, 7036, 7037, 7038, 
+    7039, 7040, 7041, 7042, 7043, 7044, 7045, 7046, 7047, 7048, 7049, 7050, 
+    7051, 7052, 7053, 7054, 7055, 7056, 7057, 7058, 7059, 7060, 7061, 7062, 
+    7063, 7064, 7065, 7066, 7067, 7068, 7069, 7070, 7071, 7072, 7073, 7074, 
+    7075, 7076, 7077, 7078, 7079, 7080, 7081, 7082, 7083, 7084, 7085, 7086, 
+    7087, 7088, 7089, 7090, 7091, 7092, 7093, 7094, 7095, 7096, 7097, 7098, 
+    7099, 7100, 7101, 7102, 7103, 7104, 7105, 7106, 7107, 7108, 7109, 7110, 
+    7111, 7112, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7121, 7122, 
+    7123, 7124, 7125, 7126, 7127, 7128, 7129, 7130, 7131, 7132, 7133, 7134, 
+    7135, 7136, 7137, 7138, 7139, 7140, 7141, 7142, 7143, 7144, 7145, 7146, 
+    7147, 7148, 7149, 7150, 7151, 7152, 7153, 7154, 7155, 7156, 7157, 7158, 
+    7159, 7160, 7161, 7162, 7163, 7164, 7165, 7166, 7167, 7168, 7169, 7170, 
+    7171, 7172, 7173, 7174, 7175, 7176, 7177, 7178, 7179, 7180, 7181, 7182, 
+    7183, 7184, 7185, 7186, 7187, 7188, 7189, 7190, 7191, 7192, 7193, 7194, 
+    7195, 7196, 7197, 7198, 7199, 7200, 7201, 7202, 7203, 7204, 7205, 7206, 
+    7207, 7208, 7209, 7210, 7211, 7212, 7213, 7214, 7215, 7216, 7217, 7218, 
+    7219, 7220, 7221, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 7229, 7230, 
+    7231, 7232, 7233, 7234, 7235, 7236, 7237, 7238, 7239, 7240, 7241, 7242, 
+    7243, 7244, 7245, 7246, 7247, 7248, 7249, 7250, 7251, 7252, 7253, 7254, 
+    7255, 7256, 7257, 7258, 7259, 7260, 7261, 7262, 7263, 7264, 7265, 7266, 
+    7267, 7268, 7269, 7270, 7271, 7272, 7273, 7274, 7275, 7276, 7277, 7278, 
+    7279, 7280, 7281, 7282, 7283, 7284, 7285, 7286, 7287, 7288, 7289, 7290, 
+    7291, 7292, 7293, 7294, 7295, 7296, 7297, 7298, 7299, 7300, 7301, 7302, 
+    7303, 7304, 7305, 7306, 7307, 7308, 7309, 7310, 7311, 7312, 7313, 7314, 
+    7315, 7316, 7317, 7318, 7319, 7320, 7321, 7322, 7323, 7324, 7325, 7326, 
+    7327, 7328, 7329, 7330, 7331, 7332, 7333, 7334, 7335, 7336, 7337, 7338, 
+    7339, 7340, 7341, 7342, 7343, 7344, 7345, 7346, 7347, 7348, 7349, 7350, 
+    7351, 7352, 7353, 7354, 7355, 7356, 7357, 7358, 7359, 7360, 7361, 7362, 
+    7363, 7364, 7365, 7366, 7367, 7368, 7369, 7370, 7371, 7372, 7373, 7374, 
+    7375, 7376, 7377, 7378, 7379, 7380, 7381, 7382, 7383, 7384, 7385, 7386, 
+    7387, 7388, 7389, 7390, 7391, 7392, 7393, 7394, 7395, 7396, 7397, 7398, 
+    7399, 7400, 7401, 7402, 7403, 7404, 7405, 7406, 7407, 7408, 7409, 7410, 
+    7411, 7412, 7413, 7414, 7415, 7416, 7417, 7418, 7419, 7420, 7421, 7422, 
+    7423, 7424 ;
+
+ elem_num_map = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
+    18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 
+    36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 
+    54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 
+    72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 
+    90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 
+    106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 
+    120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 
+    134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 
+    148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 
+    162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 
+    176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 
+    190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 
+    204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 
+    218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 
+    232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 
+    246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 
+    260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 
+    274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 
+    288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 
+    302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 
+    316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 
+    330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 
+    344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 
+    358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 
+    372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 
+    386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 
+    400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 
+    414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 
+    428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 
+    442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 
+    456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 
+    470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 
+    484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 
+    498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 
+    512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 
+    526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 
+    540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 
+    554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 
+    568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 
+    582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 
+    596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 
+    610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 
+    624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 
+    638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 
+    652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 
+    666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 
+    680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 
+    694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 
+    708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 
+    722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 
+    736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 
+    750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 
+    764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 
+    778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 
+    792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 
+    806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 
+    820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 
+    834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 
+    848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 
+    862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 
+    876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 
+    890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 
+    904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 
+    918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 
+    932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 
+    946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 
+    960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 
+    974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 
+    988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 
+    1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 
+    1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 
+    1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 
+    1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 
+    1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 
+    1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 
+    1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 
+    1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 
+    1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 
+    1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 
+    1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 
+    1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 
+    1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 
+    1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 
+    1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 
+    1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 
+    1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 
+    1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 
+    1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 
+    1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 
+    1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 
+    1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 
+    1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 
+    1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 
+    1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 
+    1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 
+    1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 
+    1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 
+    1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 
+    1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 
+    1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 
+    1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 
+    1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 
+    1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 
+    1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 
+    1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 
+    1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 
+    1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 
+    1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 
+    1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 
+    1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 
+    1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 
+    1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 
+    1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 
+    1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 
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+}
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.e b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.e
new file mode 100644
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diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.txt b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.txt
new file mode 100644
index 000000000000..4f0df292bebc
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh-1.txt
@@ -0,0 +1,56140 @@
+netcdf helmholtz-mesh-1 {
+dimensions:
+	len_string = 33 ;
+	len_line = 81 ;
+	four = 4 ;
+	len_name = 33 ;
+	time_step = UNLIMITED ; // (0 currently)
+	num_dim = 2 ;
+	num_nodes = 29829 ;
+	num_elem = 29696 ;
+	num_el_blk = 1 ;
+	num_side_sets = 1 ;
+	num_el_in_blk1 = 29696 ;
+	num_nod_per_el1 = 4 ;
+	num_side_ss1 = 264 ;
+	num_df_ss1 = 528 ;
+	num_qa_rec = 1 ;
+variables:
+	double time_whole(time_step) ;
+	int eb_status(num_el_blk) ;
+	int eb_prop1(num_el_blk) ;
+		eb_prop1:name = "ID" ;
+	int ss_status(num_side_sets) ;
+	int ss_prop1(num_side_sets) ;
+		ss_prop1:name = "ID" ;
+	double coordx(num_nodes) ;
+	double coordy(num_nodes) ;
+	char eb_names(num_el_blk, len_name) ;
+	char ss_names(num_side_sets, len_name) ;
+	char coor_names(num_dim, len_name) ;
+	int connect1(num_el_in_blk1, num_nod_per_el1) ;
+		connect1:elem_type = "QUAD" ;
+	int elem_ss1(num_side_ss1) ;
+	int side_ss1(num_side_ss1) ;
+	double dist_fact_ss1(num_df_ss1) ;
+	char qa_records(num_qa_rec, four, len_string) ;
+	int elem_map(num_elem) ;
+	int elem_num_map(num_elem) ;
+	int node_num_map(num_nodes) ;
+
+// global attributes:
+		:api_version = 6.05f ;
+		:version = 6.05f ;
+		:floating_point_word_size = 8 ;
+		:file_size = 1 ;
+		:maximum_name_length = 32 ;
+		:int64_status = 0 ;
+		:title = "cubit(ublished/Helmholtz_KouriRidzal2019/mesh/helmhltz-mesh-1.e): 11/06/2019: 17" ;
+data:
+
+ eb_status = 1 ;
+
+ eb_prop1 = 1 ;
+
+ ss_status = 1 ;
+
+ ss_prop1 = 1 ;
+
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+  1985, 1988, 2121, 2116,
+  2119, 2116, 2121, 2122,
+  2123, 2122, 2121, 2120,
+  1993, 2124, 2125, 1992,
+  1989, 1992, 2125, 2120,
+  2123, 2120, 2125, 2126,
+  2127, 2126, 2125, 2124,
+  1997, 2128, 2129, 1996,
+  1993, 1996, 2129, 2124,
+  2127, 2124, 2129, 2130,
+  2131, 2130, 2129, 2128,
+  2001, 2132, 2133, 2000,
+  1997, 2000, 2133, 2128,
+  2131, 2128, 2133, 2134,
+  2135, 2134, 2133, 2132,
+  2005, 2136, 2137, 2004,
+  2001, 2004, 2137, 2132,
+  2135, 2132, 2137, 2138,
+  2139, 2138, 2137, 2136,
+  2009, 2140, 2141, 2008,
+  2005, 2008, 2141, 2136,
+  2139, 2136, 2141, 2142,
+  2143, 2142, 2141, 2140,
+  2013, 2144, 2145, 2012,
+  2009, 2012, 2145, 2140,
+  2143, 2140, 2145, 2146,
+  2147, 2146, 2145, 2144,
+  2017, 2148, 2149, 2016,
+  2013, 2016, 2149, 2144,
+  2147, 2144, 2149, 2150,
+  2151, 2150, 2149, 2148,
+  2021, 2152, 2153, 2020,
+  2017, 2020, 2153, 2148,
+  2151, 2148, 2153, 2154,
+  2155, 2154, 2153, 2152,
+  2025, 2156, 2157, 2024,
+  2021, 2024, 2157, 2152,
+  2155, 2152, 2157, 2158,
+  2159, 2158, 2157, 2156,
+  2029, 2160, 2161, 2028,
+  2025, 2028, 2161, 2156,
+  2159, 2156, 2161, 2162,
+  2163, 2162, 2161, 2160,
+  2033, 2164, 2165, 2032,
+  2029, 2032, 2165, 2160,
+  2163, 2160, 2165, 2166,
+  2167, 2166, 2165, 2164,
+  2037, 2168, 2169, 2036,
+  2033, 2036, 2169, 2164,
+  2167, 2164, 2169, 2170,
+  2171, 2170, 2169, 2168,
+  2041, 2172, 2173, 2040,
+  2037, 2040, 2173, 2168,
+  2171, 2168, 2173, 2174,
+  2175, 2174, 2173, 2172,
+  2045, 2176, 2177, 2044,
+  2041, 2044, 2177, 2172,
+  2175, 2172, 2177, 2178,
+  2179, 2178, 2177, 2176,
+  2049, 2180, 2181, 2048,
+  2045, 2048, 2181, 2176,
+  2179, 2176, 2181, 2182,
+  2183, 2182, 2181, 2180,
+  2053, 2184, 2185, 2052,
+  2049, 2052, 2185, 2180,
+  2183, 2180, 2185, 2186,
+  2187, 2186, 2185, 2184,
+  2057, 2188, 2189, 2056,
+  2053, 2056, 2189, 2184,
+  2187, 2184, 2189, 2190,
+  2191, 2190, 2189, 2188,
+  2061, 2192, 2193, 2060,
+  2057, 2060, 2193, 2188,
+  2191, 2188, 2193, 2194,
+  2195, 2194, 2193, 2192,
+  2065, 2196, 2197, 2064,
+  2061, 2064, 2197, 2192,
+  2195, 2192, 2197, 2198,
+  2199, 2198, 2197, 2196,
+  2069, 2200, 2201, 2068,
+  2065, 2068, 2201, 2196,
+  2199, 2196, 2201, 2202,
+  2203, 2202, 2201, 2200,
+  2073, 2204, 2205, 2072,
+  2069, 2072, 2205, 2200,
+  2203, 2200, 2205, 2206,
+  2207, 2206, 2205, 2204,
+  2077, 2208, 2209, 2076,
+  2073, 2076, 2209, 2204,
+  2207, 2204, 2209, 2210,
+  2211, 2210, 2209, 2208,
+  2081, 2212, 2213, 2080,
+  2077, 2080, 2213, 2208,
+  2211, 2208, 2213, 2214,
+  2215, 2214, 2213, 2212,
+  2085, 2216, 2217, 2084,
+  2081, 2084, 2217, 2212,
+  2215, 2212, 2217, 2218,
+  2219, 2218, 2217, 2216,
+  2089, 2220, 2221, 2088,
+  2085, 2088, 2221, 2216,
+  2219, 2216, 2221, 2222,
+  2223, 2222, 2221, 2220,
+  2093, 2224, 2225, 2092,
+  2089, 2092, 2225, 2220,
+  2223, 2220, 2225, 2226,
+  2227, 2226, 2225, 2224,
+  2099, 2228, 2229, 2098,
+  2097, 2098, 2229, 2230,
+  2231, 2230, 2229, 2232,
+  2233, 2232, 2229, 2228,
+  2103, 2234, 2235, 2102,
+  2099, 2102, 2235, 2228,
+  2233, 2228, 2235, 2236,
+  2237, 2236, 2235, 2234,
+  2107, 2238, 2239, 2106,
+  2103, 2106, 2239, 2234,
+  2237, 2234, 2239, 2240,
+  2241, 2240, 2239, 2238,
+  2111, 2242, 2243, 2110,
+  2107, 2110, 2243, 2238,
+  2241, 2238, 2243, 2244,
+  2245, 2244, 2243, 2242,
+  2115, 2246, 2247, 2114,
+  2111, 2114, 2247, 2242,
+  2245, 2242, 2247, 2248,
+  2249, 2248, 2247, 2246,
+  2119, 2250, 2251, 2118,
+  2115, 2118, 2251, 2246,
+  2249, 2246, 2251, 2252,
+  2253, 2252, 2251, 2250,
+  2123, 2254, 2255, 2122,
+  2119, 2122, 2255, 2250,
+  2253, 2250, 2255, 2256,
+  2257, 2256, 2255, 2254,
+  2127, 2258, 2259, 2126,
+  2123, 2126, 2259, 2254,
+  2257, 2254, 2259, 2260,
+  2261, 2260, 2259, 2258,
+  2131, 2262, 2263, 2130,
+  2127, 2130, 2263, 2258,
+  2261, 2258, 2263, 2264,
+  2265, 2264, 2263, 2262,
+  2135, 2266, 2267, 2134,
+  2131, 2134, 2267, 2262,
+  2265, 2262, 2267, 2268,
+  2269, 2268, 2267, 2266,
+  2139, 2270, 2271, 2138,
+  2135, 2138, 2271, 2266,
+  2269, 2266, 2271, 2272,
+  2273, 2272, 2271, 2270,
+  2143, 2274, 2275, 2142,
+  2139, 2142, 2275, 2270,
+  2273, 2270, 2275, 2276,
+  2277, 2276, 2275, 2274,
+  2147, 2278, 2279, 2146,
+  2143, 2146, 2279, 2274,
+  2277, 2274, 2279, 2280,
+  2281, 2280, 2279, 2278,
+  2151, 2282, 2283, 2150,
+  2147, 2150, 2283, 2278,
+  2281, 2278, 2283, 2284,
+  2285, 2284, 2283, 2282,
+  2155, 2286, 2287, 2154,
+  2151, 2154, 2287, 2282,
+  2285, 2282, 2287, 2288,
+  2289, 2288, 2287, 2286,
+  2159, 2290, 2291, 2158,
+  2155, 2158, 2291, 2286,
+  2289, 2286, 2291, 2292,
+  2293, 2292, 2291, 2290,
+  2163, 2294, 2295, 2162,
+  2159, 2162, 2295, 2290,
+  2293, 2290, 2295, 2296,
+  2297, 2296, 2295, 2294,
+  2167, 2298, 2299, 2166,
+  2163, 2166, 2299, 2294,
+  2297, 2294, 2299, 2300,
+  2301, 2300, 2299, 2298,
+  2171, 2302, 2303, 2170,
+  2167, 2170, 2303, 2298,
+  2301, 2298, 2303, 2304,
+  2305, 2304, 2303, 2302,
+  2175, 2306, 2307, 2174,
+  2171, 2174, 2307, 2302,
+  2305, 2302, 2307, 2308,
+  2309, 2308, 2307, 2306,
+  2179, 2310, 2311, 2178,
+  2175, 2178, 2311, 2306,
+  2309, 2306, 2311, 2312,
+  2313, 2312, 2311, 2310,
+  2183, 2314, 2315, 2182,
+  2179, 2182, 2315, 2310,
+  2313, 2310, 2315, 2316,
+  2317, 2316, 2315, 2314,
+  2187, 2318, 2319, 2186,
+  2183, 2186, 2319, 2314,
+  2317, 2314, 2319, 2320,
+  2321, 2320, 2319, 2318,
+  2191, 2322, 2323, 2190,
+  2187, 2190, 2323, 2318,
+  2321, 2318, 2323, 2324,
+  2325, 2324, 2323, 2322,
+  2195, 2326, 2327, 2194,
+  2191, 2194, 2327, 2322,
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+  2199, 2330, 2331, 2198,
+  2195, 2198, 2331, 2326,
+  2329, 2326, 2331, 2332,
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+  2333, 2330, 2335, 2336,
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+  2207, 2338, 2339, 2206,
+  2203, 2206, 2339, 2334,
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+  2341, 2340, 2339, 2338,
+  2211, 2342, 2343, 2210,
+  2207, 2210, 2343, 2338,
+  2341, 2338, 2343, 2344,
+  2345, 2344, 2343, 2342,
+  2215, 2346, 2347, 2214,
+  2211, 2214, 2347, 2342,
+  2345, 2342, 2347, 2348,
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+  2219, 2350, 2351, 2218,
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+  2349, 2346, 2351, 2352,
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+  2227, 2358, 2359, 2226,
+  2223, 2226, 2359, 2354,
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+  2361, 2360, 2359, 2358,
+  2233, 2362, 2363, 2232,
+  2231, 2232, 2363, 2364,
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+  2237, 2368, 2369, 2236,
+  2233, 2236, 2369, 2362,
+  2367, 2362, 2369, 2370,
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+  2241, 2372, 2373, 2240,
+  2237, 2240, 2373, 2368,
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+  2245, 2376, 2377, 2244,
+  2241, 2244, 2377, 2372,
+  2375, 2372, 2377, 2378,
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+  2249, 2380, 2381, 2248,
+  2245, 2248, 2381, 2376,
+  2379, 2376, 2381, 2382,
+  2383, 2382, 2381, 2380,
+  2253, 2384, 2385, 2252,
+  2249, 2252, 2385, 2380,
+  2383, 2380, 2385, 2386,
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+  2257, 2388, 2389, 2256,
+  2253, 2256, 2389, 2384,
+  2387, 2384, 2389, 2390,
+  2391, 2390, 2389, 2388,
+  2261, 2392, 2393, 2260,
+  2257, 2260, 2393, 2388,
+  2391, 2388, 2393, 2394,
+  2395, 2394, 2393, 2392,
+  2265, 2396, 2397, 2264,
+  2261, 2264, 2397, 2392,
+  2395, 2392, 2397, 2398,
+  2399, 2398, 2397, 2396,
+  2269, 2400, 2401, 2268,
+  2265, 2268, 2401, 2396,
+  2399, 2396, 2401, 2402,
+  2403, 2402, 2401, 2400,
+  2273, 2404, 2405, 2272,
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+  2403, 2400, 2405, 2406,
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+  2281, 2412, 2413, 2280,
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+  2285, 2416, 2417, 2284,
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+  2419, 2418, 2417, 2416,
+  2289, 2420, 2421, 2288,
+  2285, 2288, 2421, 2416,
+  2419, 2416, 2421, 2422,
+  2423, 2422, 2421, 2420,
+  2293, 2424, 2425, 2292,
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+  2423, 2420, 2425, 2426,
+  2427, 2426, 2425, 2424,
+  2297, 2428, 2429, 2296,
+  2293, 2296, 2429, 2424,
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+  2431, 2430, 2429, 2428,
+  2301, 2432, 2433, 2300,
+  2297, 2300, 2433, 2428,
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+  2305, 2436, 2437, 2304,
+  2301, 2304, 2437, 2432,
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+  2305, 2308, 2441, 2436,
+  2439, 2436, 2441, 2442,
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+  2443, 2440, 2445, 2446,
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+  2313, 2316, 2449, 2444,
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+  2451, 2450, 2449, 2448,
+  2321, 2452, 2453, 2320,
+  2317, 2320, 2453, 2448,
+  2451, 2448, 2453, 2454,
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+  2325, 2456, 2457, 2324,
+  2321, 2324, 2457, 2452,
+  2455, 2452, 2457, 2458,
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+  2329, 2460, 2461, 2328,
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+  2463, 2460, 2465, 2466,
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+  2471, 2470, 2469, 2468,
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+  2337, 2340, 2473, 2468,
+  2471, 2468, 2473, 2474,
+  2475, 2474, 2473, 2472,
+  2345, 2476, 2477, 2344,
+  2341, 2344, 2477, 2472,
+  2475, 2472, 2477, 2478,
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+  2345, 2348, 2481, 2476,
+  2479, 2476, 2481, 2482,
+  2483, 2482, 2481, 2480,
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+  2483, 2480, 2485, 2486,
+  2487, 2486, 2485, 2484,
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+  2353, 2356, 2489, 2484,
+  2487, 2484, 2489, 2490,
+  2491, 2490, 2489, 2488,
+  2361, 2492, 2493, 2360,
+  2357, 2360, 2493, 2488,
+  2491, 2488, 2493, 2494,
+  2495, 2494, 2493, 2492,
+  2367, 2496, 2497, 2366,
+  2365, 2366, 2497, 2498,
+  2499, 2498, 2497, 2500,
+  2501, 2500, 2497, 2496,
+  2371, 2502, 2503, 2370,
+  2367, 2370, 2503, 2496,
+  2501, 2496, 2503, 2504,
+  2505, 2504, 2503, 2502,
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+  2505, 2502, 2507, 2508,
+  2509, 2508, 2507, 2506,
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+  2513, 2512, 2511, 2510,
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+  2517, 2514, 2519, 2520,
+  2521, 2520, 2519, 2518,
+  2391, 2522, 2523, 2390,
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+  2525, 2524, 2523, 2522,
+  2395, 2526, 2527, 2394,
+  2391, 2394, 2527, 2522,
+  2525, 2522, 2527, 2528,
+  2529, 2528, 2527, 2526,
+  2399, 2530, 2531, 2398,
+  2395, 2398, 2531, 2526,
+  2529, 2526, 2531, 2532,
+  2533, 2532, 2531, 2530,
+  2403, 2534, 2535, 2402,
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+  2533, 2530, 2535, 2536,
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+  2541, 2540, 2539, 2538,
+  2411, 2542, 2543, 2410,
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+  2545, 2544, 2543, 2542,
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+  2411, 2414, 2547, 2542,
+  2545, 2542, 2547, 2548,
+  2549, 2548, 2547, 2546,
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+  2553, 2552, 2551, 2550,
+  2423, 2554, 2555, 2422,
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+  2553, 2550, 2555, 2556,
+  2557, 2556, 2555, 2554,
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+  2561, 2560, 2559, 2558,
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+  2581, 2580, 2579, 2578,
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+  2581, 2578, 2583, 2584,
+  2585, 2584, 2583, 2582,
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+  2585, 2582, 2587, 2588,
+  2589, 2588, 2587, 2586,
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+  2589, 2586, 2591, 2592,
+  2593, 2592, 2591, 2590,
+  2463, 2594, 2595, 2462,
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+  2593, 2590, 2595, 2596,
+  2597, 2596, 2595, 2594,
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+  2463, 2466, 2599, 2594,
+  2597, 2594, 2599, 2600,
+  2601, 2600, 2599, 2598,
+  2471, 2602, 2603, 2470,
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+  2605, 2602, 2607, 2608,
+  2609, 2608, 2607, 2606,
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+  2609, 2606, 2611, 2612,
+  2613, 2612, 2611, 2610,
+  2483, 2614, 2615, 2482,
+  2479, 2482, 2615, 2610,
+  2613, 2610, 2615, 2616,
+  2617, 2616, 2615, 2614,
+  2487, 2618, 2619, 2486,
+  2483, 2486, 2619, 2614,
+  2617, 2614, 2619, 2620,
+  2621, 2620, 2619, 2618,
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+  2621, 2618, 2623, 2624,
+  2625, 2624, 2623, 2622,
+  2495, 2626, 2627, 2494,
+  2491, 2494, 2627, 2622,
+  2625, 2622, 2627, 2628,
+  2629, 2628, 2627, 2626,
+  2501, 2630, 2631, 2500,
+  2499, 2500, 2631, 2632,
+  2633, 2632, 2631, 2634,
+  2635, 2634, 2631, 2630,
+  2505, 2636, 2637, 2504,
+  2501, 2504, 2637, 2630,
+  2635, 2630, 2637, 2638,
+  2639, 2638, 2637, 2636,
+  2509, 2640, 2641, 2508,
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+  29628, 29725, 29726, 29631,
+  29724, 29727, 29726, 29725,
+  29728, 29729, 29726, 29727,
+  29632, 29631, 29726, 29729,
+  29632, 29729, 29730, 29635,
+  29728, 29731, 29730, 29729,
+  29732, 29733, 29730, 29731,
+  29636, 29635, 29730, 29733,
+  29636, 29733, 29734, 29639,
+  29732, 29735, 29734, 29733,
+  29736, 29737, 29734, 29735,
+  29640, 29639, 29734, 29737,
+  29640, 29737, 29738, 29643,
+  29736, 29739, 29738, 29737,
+  29740, 29741, 29738, 29739,
+  29644, 29643, 29738, 29741,
+  29644, 29741, 29742, 29647,
+  29740, 29743, 29742, 29741,
+  29744, 29745, 29742, 29743,
+  29648, 29647, 29742, 29745,
+  29648, 29745, 29746, 29651,
+  29744, 29747, 29746, 29745,
+  29748, 29749, 29746, 29747,
+  29652, 29651, 29746, 29749,
+  29652, 29749, 29750, 29655,
+  29748, 29751, 29750, 29749,
+  29752, 29753, 29750, 29751,
+  29656, 29655, 29750, 29753,
+  29656, 29753, 29754, 29659,
+  29752, 29755, 29754, 29753,
+  29756, 29757, 29754, 29755,
+  29660, 29659, 29754, 29757,
+  29660, 29757, 29758, 29663,
+  29756, 29759, 29758, 29757,
+  29760, 29761, 29758, 29759,
+  29664, 29663, 29758, 29761,
+  29664, 29761, 29762, 29667,
+  29760, 29763, 29762, 29761,
+  29764, 29765, 29762, 29763,
+  29668, 29667, 29762, 29765,
+  29668, 29765, 29766, 29671,
+  29764, 29767, 29766, 29765,
+  29768, 29769, 29766, 29767,
+  29672, 29671, 29766, 29769,
+  29672, 29769, 29770, 29675,
+  29768, 29771, 29770, 29769,
+  29772, 29773, 29770, 29771,
+  29676, 29675, 29770, 29773,
+  29676, 29773, 29774, 29679,
+  29772, 29775, 29774, 29773,
+  29776, 29777, 29774, 29775,
+  29680, 29679, 29774, 29777,
+  29680, 29777, 29778, 29683,
+  29776, 29779, 29778, 29777,
+  29780, 29781, 29778, 29779,
+  29684, 29683, 29778, 29781,
+  17154, 17157, 29782, 29687,
+  16760, 20372, 29782, 17157,
+  20371, 29783, 29782, 20372,
+  29688, 29687, 29782, 29783,
+  29688, 29783, 29784, 29691,
+  20371, 20368, 29784, 29783,
+  20367, 29785, 29784, 20368,
+  29692, 29691, 29784, 29785,
+  29692, 29785, 29786, 29695,
+  20367, 20364, 29786, 29785,
+  20363, 29787, 29786, 20364,
+  29696, 29695, 29786, 29787,
+  29696, 29787, 29788, 29699,
+  20363, 20360, 29788, 29787,
+  20359, 29789, 29788, 20360,
+  29700, 29699, 29788, 29789,
+  29700, 29789, 29790, 29703,
+  20359, 20356, 29790, 29789,
+  20355, 29791, 29790, 20356,
+  29704, 29703, 29790, 29791,
+  29704, 29791, 29792, 29707,
+  20355, 20352, 29792, 29791,
+  20351, 29793, 29792, 20352,
+  29708, 29707, 29792, 29793,
+  29708, 29793, 29794, 29711,
+  20351, 20348, 29794, 29793,
+  20347, 29795, 29794, 20348,
+  29712, 29711, 29794, 29795,
+  29712, 29795, 29796, 29715,
+  20347, 20344, 29796, 29795,
+  20343, 29797, 29796, 20344,
+  29716, 29715, 29796, 29797,
+  29716, 29797, 29798, 29719,
+  20343, 20340, 29798, 29797,
+  20339, 29799, 29798, 20340,
+  29720, 29719, 29798, 29799,
+  29720, 29799, 29800, 29723,
+  20339, 20336, 29800, 29799,
+  20335, 29801, 29800, 20336,
+  29724, 29723, 29800, 29801,
+  29724, 29801, 29802, 29727,
+  20335, 20332, 29802, 29801,
+  20331, 29803, 29802, 20332,
+  29728, 29727, 29802, 29803,
+  29728, 29803, 29804, 29731,
+  20331, 20328, 29804, 29803,
+  20327, 29805, 29804, 20328,
+  29732, 29731, 29804, 29805,
+  29732, 29805, 29806, 29735,
+  20327, 20324, 29806, 29805,
+  20323, 29807, 29806, 20324,
+  29736, 29735, 29806, 29807,
+  29736, 29807, 29808, 29739,
+  20323, 20320, 29808, 29807,
+  20319, 29809, 29808, 20320,
+  29740, 29739, 29808, 29809,
+  29740, 29809, 29810, 29743,
+  20319, 20316, 29810, 29809,
+  20315, 29811, 29810, 20316,
+  29744, 29743, 29810, 29811,
+  29744, 29811, 29812, 29747,
+  20315, 20312, 29812, 29811,
+  20311, 29813, 29812, 20312,
+  29748, 29747, 29812, 29813,
+  29748, 29813, 29814, 29751,
+  20311, 20308, 29814, 29813,
+  20307, 29815, 29814, 20308,
+  29752, 29751, 29814, 29815,
+  29752, 29815, 29816, 29755,
+  20307, 20304, 29816, 29815,
+  20303, 29817, 29816, 20304,
+  29756, 29755, 29816, 29817,
+  29756, 29817, 29818, 29759,
+  20303, 20300, 29818, 29817,
+  20299, 29819, 29818, 20300,
+  29760, 29759, 29818, 29819,
+  29760, 29819, 29820, 29763,
+  20299, 20296, 29820, 29819,
+  20295, 29821, 29820, 20296,
+  29764, 29763, 29820, 29821,
+  29764, 29821, 29822, 29767,
+  20295, 20292, 29822, 29821,
+  20291, 29823, 29822, 20292,
+  29768, 29767, 29822, 29823,
+  29768, 29823, 29824, 29771,
+  20291, 20288, 29824, 29823,
+  20287, 29825, 29824, 20288,
+  29772, 29771, 29824, 29825,
+  29772, 29825, 29826, 29775,
+  20287, 20284, 29826, 29825,
+  20283, 29827, 29826, 20284,
+  29776, 29775, 29826, 29827,
+  29776, 29827, 29828, 29779,
+  20283, 20279, 29828, 29827,
+  20278, 29829, 29828, 20279,
+  29780, 29779, 29828, 29829 ;
+
+ elem_ss1 = 18658, 18657, 18754, 18753, 18850, 18849, 18946, 18945, 19042, 
+    19041, 19138, 19137, 19234, 19233, 19330, 19329, 19426, 19425, 19522, 
+    19521, 19618, 19617, 19714, 19713, 19810, 19809, 19906, 19905, 20002, 
+    20001, 20098, 20097, 29695, 29696, 29599, 29600, 29503, 29504, 29407, 
+    29408, 29311, 29312, 29215, 29216, 29119, 29120, 29023, 29024, 28927, 
+    28928, 28831, 28832, 28735, 28736, 28639, 28640, 28543, 28544, 28447, 
+    28448, 28351, 28352, 28255, 28256, 28159, 28160, 28063, 28064, 27967, 
+    27968, 27871, 27872, 27775, 27776, 27679, 27680, 27583, 27584, 27487, 
+    27488, 27391, 27392, 27295, 27296, 27199, 27200, 27103, 27104, 27007, 
+    27008, 26911, 26912, 26815, 26816, 26719, 26720, 26623, 26624, 26527, 
+    26528, 26431, 26432, 26335, 26336, 26239, 26240, 26143, 26144, 26047, 
+    26048, 25951, 25952, 25855, 25856, 25759, 25760, 25663, 25664, 25567, 
+    25568, 25471, 25472, 25375, 25376, 25279, 25280, 25183, 25184, 25087, 
+    25088, 24991, 24992, 24895, 24896, 24799, 24800, 24703, 24704, 24607, 
+    24608, 24511, 24512, 24415, 24416, 24319, 24320, 24223, 24224, 24127, 
+    24128, 24031, 24032, 23935, 23936, 23839, 23840, 23743, 23744, 23647, 
+    23648, 23551, 23552, 23455, 23456, 23359, 23360, 23263, 23264, 23167, 
+    23168, 23071, 23072, 22975, 22976, 22879, 22880, 22783, 22784, 22687, 
+    22688, 22591, 22592, 22495, 22496, 22399, 22400, 22303, 22304, 22207, 
+    22208, 22111, 22112, 22015, 22016, 21919, 21920, 21823, 21824, 21727, 
+    21728, 21631, 21632, 21535, 21536, 21439, 21440, 21343, 21344, 21247, 
+    21248, 21151, 21152, 21055, 21056, 20959, 20960, 20863, 20864, 20767, 
+    20768, 20671, 20672, 20575, 20576, 20479, 20480, 20383, 20384, 20287, 
+    20288, 17026, 17025, 17122, 17121, 17218, 17217, 17314, 17313, 17410, 
+    17409, 17506, 17505, 17602, 17601, 17698, 17697, 17794, 17793, 17890, 
+    17889, 17986, 17985, 18082, 18081, 18178, 18177, 18274, 18273, 18370, 
+    18369, 18466, 18465, 18562, 18561 ;
+
+ side_ss1 = 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 
+    1, 4 ;
+
+ dist_fact_ss1 = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
+    1, 1, 1, 1 ;
+
+ qa_records =
+  "CUBIT",
+  "15.2",
+  "11/06/2019",
+  "17:58:12" ;
+
+ elem_map = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 
+    19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 
+    37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 
+    55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 
+    73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 
+    91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 
+    107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 
+    121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 
+    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 
+    149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 
+    163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 
+    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 
+    191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 
+    205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 
+    219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 
+    233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 
+    247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 
+    261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 
+    275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 
+    289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 
+    303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 
+    317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 
+    331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 
+    345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 
+    359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 
+    373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 
+    387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 
+    401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 
+    415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 
+    429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 
+    443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 
+    457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 
+    471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 
+    485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 
+    499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 
+    513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 
+    527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 
+    541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 
+    555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 
+    569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 
+    583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 
+    597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 
+    611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 
+    625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 
+    639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 
+    653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 
+    667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 
+    681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 
+    695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 
+    709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 
+    723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 
+    737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 
+    751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 
+    765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 
+    779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 
+    793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 
+    807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 
+    821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 
+    835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 
+    849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 
+    863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 
+    877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 
+    891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 
+    905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 
+    919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 
+    933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 
+    947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 
+    961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 
+    975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 
+    989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 
+    1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 
+    1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 
+    1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 
+    1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 
+    1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 
+    1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 
+    1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 
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+    29682, 29683, 29684, 29685, 29686, 29687, 29688, 29689, 29690, 29691, 
+    29692, 29693, 29694, 29695, 29696 ;
+
+ elem_num_map = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
+    18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 
+    36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 
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+    26520, 26518, 6450, 26519, 26523, 26521, 6451, 26522, 26526, 26524, 6452, 
+    26525, 26529, 26527, 6453, 26528, 26532, 26530, 6454, 26531, 26535, 
+    26533, 6455, 26534, 26538, 26536, 6456, 26537, 26541, 26539, 4354, 26540, 
+    26544, 26542, 6457, 26543, 26547, 26545, 6458, 26546, 26550, 26548, 6459, 
+    26549, 26553, 26551, 6460, 26552, 26556, 26554, 6461, 26555, 26559, 
+    26557, 6462, 26558, 26562, 26560, 6463, 26561, 26565, 26563, 6464, 26564, 
+    26568, 26566, 6465, 26567, 26571, 26569, 6466, 26570, 26574, 26572, 6467, 
+    26573, 26577, 26575, 6468, 26576, 26580, 26578, 6469, 26579, 26583, 
+    26581, 6470, 26582, 26586, 26584, 6471, 26585, 26589, 26587, 6472, 26588, 
+    26592, 26590, 6473, 26591, 26595, 26593, 6474, 26594, 26598, 26596, 6475, 
+    26597, 26601, 26599, 6476, 26600, 26604, 26602, 6477, 26603, 26607, 
+    26605, 6478, 26606, 26610, 26608, 6479, 26609, 26613, 26611, 4353, 26612, 
+    26616, 26614, 6480, 26615, 26619, 26617, 6481, 26618, 26622, 26620, 6482, 
+    26621, 26625, 26623, 6483, 26624, 26628, 26626, 6484, 26627, 26631, 
+    26629, 6485, 26630, 26634, 26632, 6486, 26633, 26637, 26635, 6487, 26636, 
+    26640, 26638, 6488, 26639, 26643, 26641, 6489, 26642, 26646, 26644, 6490, 
+    26645, 26649, 26647, 6491, 26648, 26652, 26650, 6492, 26651, 26655, 
+    26653, 6493, 26654, 26658, 26656, 6494, 26657, 26661, 26659, 6495, 26660, 
+    26664, 26662, 6496, 26663, 26667, 26665, 6497, 26666, 26670, 26668, 6498, 
+    26669, 26673, 26671, 6499, 26672, 26676, 26674, 6500, 26675, 26679, 
+    26677, 6501, 26678, 26682, 26680, 6502, 26681, 26685, 26683, 4352, 26684, 
+    26688, 26686, 6503, 26687, 26691, 26689, 6504, 26690, 26694, 26692, 6505, 
+    26693, 26697, 26695, 6506, 26696, 26700, 26698, 6507, 26699, 26703, 
+    26701, 6508, 26702, 26706, 26704, 6509, 26705, 26709, 26707, 6510, 26708, 
+    26712, 26710, 6511, 26711, 26715, 26713, 6512, 26714, 26718, 26716, 6513, 
+    26717, 26721, 26719, 6514, 26720, 26724, 26722, 6515, 26723, 26727, 
+    26725, 6516, 26726, 26730, 26728, 6517, 26729, 26733, 26731, 6518, 26732, 
+    26736, 26734, 6519, 26735, 26739, 26737, 6520, 26738, 26742, 26740, 6521, 
+    26741, 26745, 26743, 6522, 26744, 26748, 26746, 6523, 26747, 26751, 
+    26749, 6524, 26750, 26754, 26752, 6525, 26753, 26757, 26755, 4351, 26756, 
+    26760, 26758, 6526, 26759, 26763, 26761, 6527, 26762, 26766, 26764, 6528, 
+    26765, 26769, 26767, 6529, 26768, 26772, 26770, 6530, 26771, 26775, 
+    26773, 6531, 26774, 26778, 26776, 6532, 26777, 26781, 26779, 6533, 26780, 
+    26784, 26782, 6534, 26783, 26787, 26785, 6535, 26786, 26790, 26788, 6536, 
+    26789, 26793, 26791, 6537, 26792, 26796, 26794, 6538, 26795, 26799, 
+    26797, 6539, 26798, 26802, 26800, 6540, 26801, 26805, 26803, 6541, 26804, 
+    26808, 26806, 6542, 26807, 26811, 26809, 6543, 26810, 26814, 26812, 6544, 
+    26813, 26817, 26815, 6545, 26816, 26820, 26818, 6546, 26819, 26823, 
+    26821, 6547, 26822, 26826, 26824, 6548, 26825, 26829, 26827, 4350, 26828, 
+    26832, 26830, 6549, 26831, 26835, 26833, 6550, 26834, 26838, 26836, 6551, 
+    26837, 26841, 26839, 6552, 26840, 26844, 26842, 6553, 26843, 26847, 
+    26845, 6554, 26846, 26850, 26848, 6555, 26849, 26853, 26851, 6556, 26852, 
+    26856, 26854, 6557, 26855, 26859, 26857, 6558, 26858, 26862, 26860, 6559, 
+    26861, 26865, 26863, 6560, 26864, 26868, 26866, 6561, 26867, 26871, 
+    26869, 6562, 26870, 26874, 26872, 6563, 26873, 26877, 26875, 6564, 26876, 
+    26880, 26878, 6565, 26879, 26883, 26881, 6566, 26882, 26886, 26884, 6567, 
+    26885, 26889, 26887, 6568, 26888, 26892, 26890, 6569, 26891, 26895, 
+    26893, 6570, 26894, 26898, 26896, 6571, 26897, 26901, 26899, 4349, 26900, 
+    26904, 26902, 6572, 26903, 26907, 26905, 6573, 26906, 26910, 26908, 6574, 
+    26909, 26913, 26911, 6575, 26912, 26916, 26914, 6576, 26915, 26919, 
+    26917, 6577, 26918, 26922, 26920, 6578, 26921, 26925, 26923, 6579, 26924, 
+    26928, 26926, 6580, 26927, 26931, 26929, 6581, 26930, 26934, 26932, 6582, 
+    26933, 26937, 26935, 6583, 26936, 26940, 26938, 6584, 26939, 26943, 
+    26941, 6585, 26942, 26946, 26944, 6586, 26945, 26949, 26947, 6587, 26948, 
+    26952, 26950, 6588, 26951, 26955, 26953, 6589, 26954, 26958, 26956, 6590, 
+    26957, 26961, 26959, 6591, 26960, 26964, 26962, 6592, 26963, 26967, 
+    26965, 6593, 26966, 26970, 26968, 6594, 26969, 26973, 26971, 4348, 26972, 
+    26976, 26974, 6595, 26975, 26979, 26977, 6596, 26978, 26982, 26980, 6597, 
+    26981, 26985, 26983, 6598, 26984, 26988, 26986, 6599, 26987, 26991, 
+    26989, 6600, 26990, 26994, 26992, 6601, 26993, 26997, 26995, 6602, 26996, 
+    27000, 26998, 6603, 26999, 27003, 27001, 6604, 27002, 27006, 27004, 6605, 
+    27005, 27009, 27007, 6606, 27008, 27012, 27010, 6607, 27011, 27015, 
+    27013, 6608, 27014, 27018, 27016, 6609, 27017, 27021, 27019, 6610, 27020, 
+    27024, 27022, 6611, 27023, 27027, 27025, 6612, 27026, 27030, 27028, 6613, 
+    27029, 27033, 27031, 6614, 27032, 27036, 27034, 6615, 27035, 27039, 
+    27037, 6616, 27038, 27042, 27040, 6617, 27041, 27045, 27043, 4347, 27044, 
+    27048, 27046, 6618, 27047, 27051, 27049, 6619, 27050, 27054, 27052, 6620, 
+    27053, 27057, 27055, 6621, 27056, 27060, 27058, 6622, 27059, 27063, 
+    27061, 6623, 27062, 27066, 27064, 6624, 27065, 27069, 27067, 6625, 27068, 
+    27072, 27070, 6626, 27071, 27075, 27073, 6627, 27074, 27078, 27076, 6628, 
+    27077, 27081, 27079, 6629, 27080, 27084, 27082, 6630, 27083, 27087, 
+    27085, 6631, 27086, 27090, 27088, 6632, 27089, 27093, 27091, 6633, 27092, 
+    27096, 27094, 6634, 27095, 27099, 27097, 6635, 27098, 27102, 27100, 6636, 
+    27101, 27105, 27103, 6637, 27104, 27108, 27106, 6638, 27107, 27111, 
+    27109, 6639, 27110, 27114, 27112, 6640, 27113, 27117, 27115, 4346, 27116, 
+    27120, 27118, 6641, 27119, 27123, 27121, 6642, 27122, 27126, 27124, 6643, 
+    27125, 27129, 27127, 6644, 27128, 27132, 27130, 6645, 27131, 27135, 
+    27133, 6646, 27134, 27138, 27136, 6647, 27137, 27141, 27139, 6648, 27140, 
+    27144, 27142, 6649, 27143, 27147, 27145, 6650, 27146, 27150, 27148, 6651, 
+    27149, 27153, 27151, 6652, 27152, 27156, 27154, 6653, 27155, 27159, 
+    27157, 6654, 27158, 27162, 27160, 6655, 27161, 27165, 27163, 6656, 27164, 
+    27168, 27166, 6657, 27167, 27171, 27169, 6658, 27170, 27174, 27172, 6659, 
+    27173, 27177, 27175, 6660, 27176, 27180, 27178, 6661, 27179, 27183, 
+    27181, 6662, 27182, 27186, 27184, 6663, 27185, 27189, 27187, 4345, 27188, 
+    27192, 27190, 6664, 27191, 27195, 27193, 6665, 27194, 27198, 27196, 6666, 
+    27197, 27201, 27199, 6667, 27200, 27204, 27202, 6668, 27203, 27207, 
+    27205, 6669, 27206, 27210, 27208, 6670, 27209, 27213, 27211, 6671, 27212, 
+    27216, 27214, 6672, 27215, 27219, 27217, 6673, 27218, 27222, 27220, 6674, 
+    27221, 27225, 27223, 6675, 27224, 27228, 27226, 6676, 27227, 27231, 
+    27229, 6677, 27230, 27234, 27232, 6678, 27233, 27237, 27235, 6679, 27236, 
+    27240, 27238, 6680, 27239, 27243, 27241, 6681, 27242, 27246, 27244, 6682, 
+    27245, 27249, 27247, 6683, 27248, 27252, 27250, 6684, 27251, 27255, 
+    27253, 6685, 27254, 27258, 27256, 6686, 27257, 27261, 27259, 4344, 27260, 
+    27264, 27262, 6687, 27263, 27267, 27265, 6688, 27266, 27270, 27268, 6689, 
+    27269, 27273, 27271, 6690, 27272, 27276, 27274, 6691, 27275, 27279, 
+    27277, 6692, 27278, 27282, 27280, 6693, 27281, 27285, 27283, 6694, 27284, 
+    27288, 27286, 6695, 27287, 27291, 27289, 6696, 27290, 27294, 27292, 6697, 
+    27293, 27297, 27295, 6698, 27296, 27300, 27298, 6699, 27299, 27303, 
+    27301, 6700, 27302, 27306, 27304, 6701, 27305, 27309, 27307, 6702, 27308, 
+    27312, 27310, 6703, 27311, 27315, 27313, 6704, 27314, 27318, 27316, 6705, 
+    27317, 27321, 27319, 6706, 27320, 27324, 27322, 6707, 27323, 27327, 
+    27325, 6708, 27326, 27330, 27328, 6709, 27329, 27333, 27331, 4343, 27332, 
+    27336, 27334, 6710, 27335, 27339, 27337, 6711, 27338, 27342, 27340, 6712, 
+    27341, 27345, 27343, 6713, 27344, 27348, 27346, 6714, 27347, 27351, 
+    27349, 6715, 27350, 27354, 27352, 6716, 27353, 27357, 27355, 6717, 27356, 
+    27360, 27358, 6718, 27359, 27363, 27361, 6719, 27362, 27366, 27364, 6720, 
+    27365, 27369, 27367, 6721, 27368, 27372, 27370, 6722, 27371, 27375, 
+    27373, 6723, 27374, 27378, 27376, 6724, 27377, 27381, 27379, 6725, 27380, 
+    27384, 27382, 6726, 27383, 27387, 27385, 6727, 27386, 27390, 27388, 6728, 
+    27389, 27393, 27391, 6729, 27392, 27396, 27394, 6730, 27395, 27399, 
+    27397, 6731, 27398, 27402, 27400, 6732, 27401, 27405, 27403, 4342, 27404, 
+    27408, 27407, 27411, 27410, 27414, 27413, 27417, 27416, 27420, 27419, 
+    27423, 27422, 27426, 27425, 27429, 27428, 27432, 27431, 27435, 27434, 
+    27438, 27437, 27441, 27440, 27444, 27443, 27447, 27446, 27450, 27449, 
+    27453, 27452, 27456, 27455, 27459, 27458, 27462, 27461, 27465, 27464, 
+    27468, 27467, 27471, 27470, 27474, 27473, 27477, 27476 ;
+}
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/mesh/helmholtz-mesh.jou b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh.jou
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/mesh/helmholtz-mesh.jou
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/mesh/helmholtz-mesh.jou
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/obj_helmholtz.hpp b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/obj_helmholtz.hpp
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/obj_helmholtz.hpp
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/obj_helmholtz.hpp
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/pde_helmholtz_imag.hpp b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/pde_helmholtz_imag.hpp
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/pde_helmholtz_real.hpp b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_real.hpp
similarity index 100%
rename from packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzal2019/pde_helmholtz_real.hpp
rename to packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_real.hpp
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/prdw.m b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/prdw.m
new file mode 100644
index 000000000000..00820875ff92
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/prdw.m
@@ -0,0 +1,48 @@
+function [y] = prdw( x, usr_par)
+%
+%   compute and/or apply a perturbed Rees-Dollar-Wathen KKT preconditioner
+%
+
+  global GLB_PROB;
+
+  nu = GLB_PROB.nu;
+  nz = GLB_PROB.nz;
+
+  beta = GLB_PROB.beta;
+  K = GLB_PROB.K;
+  M = GLB_PROB.M;
+  C = GLB_PROB.C;
+  R = GLB_PROB.R;
+  J = GLB_PROB.J;
+  A1 = K;
+
+  A2 = ctranspose(A1);
+
+  perturb = min(1e-4, beta);
+
+  y = zeros(size(x));
+
+  if (GLB_PROB.reuse_factors)
+    if (~GLB_PROB.factors_computed)
+      fprintf("  Computing factors (to be reused) ...\n  ");
+      tic
+      [GLB_PROB.LC, GLB_PROB.UC, GLB_PROB.PC, GLB_PROB.QC]     = lu(C+perturb*M);
+      [GLB_PROB.LR, GLB_PROB.UR, GLB_PROB.PR, GLB_PROB.QR]     = lu(R);
+      [GLB_PROB.LA1, GLB_PROB.UA1, GLB_PROB.PA1, GLB_PROB.QA1] = lu(A1);
+      %[GLB_PROB.LA2, GLB_PROB.UA2, GLB_PROB.PA2, GLB_PROB.QA2] = lu(A2);
+      toc
+      GLB_PROB.factors_computed = true;
+    end
+    y(1:nu)         = GLB_PROB.QC * (GLB_PROB.UC \ (GLB_PROB.LC \ (GLB_PROB.PC * x(1:nu))));
+    y(nu+1:nu+nz)   = (1/beta) * ( GLB_PROB.QR * (GLB_PROB.UR \ (GLB_PROB.LR \ (GLB_PROB.PR * x(nu+1:nu+nz)))) );
+    tmp             = (C+perturb*M) * ( GLB_PROB.QA1 * (GLB_PROB.UA1 \ (GLB_PROB.LA1 \ (GLB_PROB.PA1 * x(nu+nz+1:end)))) );
+    y(nu+nz+1:end)  = GLB_PROB.PA1' * (GLB_PROB.LA1' \ (GLB_PROB.UA1' \ (GLB_PROB.QA1' * tmp)));
+  else
+    y(1:nu)         = (C+perturb*M) \ x(1:nu);
+    y(nu+1:nu+nz)   = (1/beta) * (R \ x(nu+1:nu+nz));
+    y(nu+nz+1:end)  = A2 \ ((C+perturb*M) * (A1 \ x(nu+nz+1:end)));
+  end
+
+  GLB_PROB.ct = GLB_PROB.ct + 1;
+
+end % function prdw
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/results/README.md b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/results/README.md
new file mode 100644
index 000000000000..09e92f22c05b
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/results/README.md
@@ -0,0 +1 @@
+The results are output in this directory.
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/run.m b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/run.m
new file mode 100644
index 000000000000..1602c69f3d14
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/run.m
@@ -0,0 +1,257 @@
+%% function [niter] = run(beta,wave,fullObs,fullCtrl,solver)
+%% Inputs: beta     - control penalty parameter
+%%         wave     - wavenumber
+%%         fullObs  - enable full observations, true/false
+%%         fullCtrl - enable full controls, true/false
+%%         solver   - solver:
+%%                    'DIRECT'   for direct KKT solve
+%%                    'PRDW'     for (perturbed) Rees-Dollar-Wathen preconditioner with SYMMLQ
+%%                    'IMSHIFT'  for imaginary shift preconditioner with SYMMLQ
+%% Output: niter - number of solver iterations
+function [niter,sol] = run(beta,wave,fullObs,fullCtrl,solver)
+
+% Global data structure.
+global GLB_PROB;
+
+% Solver tolerance.
+tol = min(1e-4, 0.1*beta*wave^2/(1+wave^2));
+
+% Solver maximum number of iterations and Krylov subspace size.
+maxit = 600;
+
+% Plot solution?
+iplot = false;
+
+% Print output?
+iprint = true;
+
+force_full_obs  = fullObs;
+force_full_ctrl = fullCtrl;
+compute_reference = false;
+GLB_PROB.reuse_factors = true;
+
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%% Load matrices from files %%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+if iprint, fprintf('Reading problem matrices from file ...\n'), end;
+
+Adata = importdata('Amatrix.txt',' ',2); Adata = Adata.data;
+Amat = sparse(Adata(:,1),Adata(:,2),Adata(:,3));
+[s1,s2] = size(Amat);
+clear Adata;
+if iprint, fprintf('A matrix is %d by %d.\n', s1, s2), end;
+m = s1;
+
+Bdata = importdata('Bmatrix.txt',' ',2); Bdata = Bdata.data;
+Bmat = sparse(Bdata(:,1),Bdata(:,2),Bdata(:,3));
+[s1,s2] = size(Bmat);
+clear Bdata;
+if iprint, fprintf('B matrix is %d by %d.\n', s1, s2), end;
+
+Ldata = importdata('Lmatrix.txt',' ',2); Ldata = Ldata.data;
+Lmat = sparse(Ldata(:,1),Ldata(:,2),Ldata(:,3));
+nzcols = any(Lmat,1);
+ctrlIdx = find(nzcols)';
+Lmat(:, ~any(Lmat,1)) = []; % remove zero columns
+[s1,s2] = size(Lmat);
+clear Ldata;
+if iprint, fprintf('L matrix is %d by %d.\n', s1, s2), end;
+n = s2;
+
+Cdata = importdata('Cmatrix.txt',' ',2); Cdata = Cdata.data;
+Cmat = sparse(Cdata(:,1),Cdata(:,2),Cdata(:,3));
+[s1,s2] = size(Cmat);
+clear Cdata;
+if iprint, fprintf('C matrix is %d by %d.\n', s1, s2), end;
+
+Rdata = importdata('Rmatrix.txt',' ',2); Rdata = Rdata.data;
+Rmat = sparse(Rdata(:,1),Rdata(:,2),Rdata(:,3));
+Jmat = Rmat;
+Rmat(:, ~any(Rmat,1)) = []; % remove zero columns
+Rmat(~any(Rmat,2), :) = []; % remove zero rows
+[s1,s2] = size(Rmat);
+clear Rdata;
+if iprint, fprintf('R matrix is %d by %d.\n', s1, s2), end;
+
+Mdata = importdata('Mmatrix.txt',' ',2); Mdata = Mdata.data;
+Mmat = sparse(Mdata(:,1),Mdata(:,2),Mdata(:,3));
+[s1,s2] = size(Mmat);
+clear Mdata;
+if iprint, fprintf('M matrix is %d by %d.\n', s1, s2), end;
+
+if (force_full_obs)
+  Cmat = Mmat;
+end
+
+if (force_full_ctrl)
+  Rmat = Mmat;
+  Lmat = Mmat;
+  n = m;
+  ctrlIdx = [1:m]';
+end
+
+wrvec = importdata('WRvector.txt',' ',2); wrvec = wrvec.data;
+wivec = importdata('WIvector.txt',' ',2); wivec = wivec.data;
+
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%% Build optimality system %%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+Kmat = Amat - sqrt(-1)*Bmat;
+
+kkt  = [ Cmat         sparse(m,n)  Kmat';
+         sparse(n,m)  beta*Rmat    Lmat';
+         Kmat         Lmat         sparse(m,m) ];
+
+w    = wrvec + sqrt(-1)*wivec;
+rhs  = [ w;
+         zeros(n,1);
+         zeros(m,1)];
+
+GLB_PROB.ct = 0;
+GLB_PROB.beta = beta;
+GLB_PROB.nu = m;
+GLB_PROB.nz = n;
+GLB_PROB.K = Kmat;
+GLB_PROB.C = Cmat;
+GLB_PROB.R = Rmat;
+GLB_PROB.J = Jmat;
+GLB_PROB.M = Mmat;
+GLB_PROB.L = Lmat;
+
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%% Solve optimality system %%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+GLB_PROB.factors_computed = false;
+
+if compute_reference
+  fprintf("\nComputing reference solution using backslash...\n");
+  tic
+  ref_sol = kkt \ rhs;
+  toc
+  ref_z   = ref_sol(m+1:m+n, 1);
+end
+
+if (strcmp(lower(solver),'direct'))
+
+  fprintf("\nComputing direct solution using backslash...\n");
+  tic
+  sol  = kkt \ rhs;
+  toc
+
+elseif (strcmp(lower(solver),'imshift') || strcmp(lower(solver),'prdw'))
+
+  fprintf("\nComputing solution using iterative solver ...\n");
+
+  % Set initial guess.
+  t0  = zeros(2*m+n,1);
+
+  % Choose method.
+  if strcmp(lower(solver),'imshift')
+    prec = @imshift;
+  else
+    prec = @prdw;
+  end
+
+  % MATLAB's SYMMLQ
+  myprec = prec;
+  tic
+  [sol, flag, relres, niter, resvec] ...
+    = symmlq(kkt, rhs, tol, maxit, myprec, [], t0, GLB_PROB);
+  fprintf("\n");
+  toc
+
+  if iplot
+    semilogy(resvec/resvec(1), 'LineWidth', 2)
+  end
+  % Compute final relative residual and control error, if enabled.
+  fprintf('Relative residual = %12.10e\n', norm(kkt*sol - rhs)/norm(rhs));
+  if compute_reference
+    fprintf('Relative control error = %12.10e\n', norm(sol(m+1:m+n, 1) - ref_z)/norm(ref_z));
+  end
+
+end
+
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%% Plot optimal solution %%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+if (iplot)
+
+  adj   = load('cell_to_node_quad.txt') + 1;       %% load node adjacency, increment by 1 for 1-based indexing
+  nodes = load('nodes.txt');                       %% load node coordinates
+  map   = importdata('map.txt');
+  map   = map.data(1:2:end)+1;
+  [tmp, perm] = sort(map);
+  sol_plot = NaN(3*m, 1)+sqrt(-1)*NaN(3*m, 1);
+  sol_plot(1:m, 1) = sol(1:m, 1);
+  sol_plot(m+ctrlIdx, 1) = sol(m+1:m+n, 1);
+  sol_plot(2*m+1:end, 1) = sol(m+n+1:end, 1);
+  u     = sol_plot(1:m);
+  u     = u(perm);
+  z     = sol_plot(m+1:2*m);
+  z     = z(perm);
+
+  figure, trisurf(adj, nodes(:,1), nodes(:,2), real(u));
+  shading interp;
+  view(0,90)
+  axis('equal','tight');
+  xlabel('x');
+  ylabel('y');
+  title('State: Real Part');
+  axis square
+  x = 0; y = 0; r = 2;
+  hold on
+  th = [0:pi/50:2*pi]';
+  xunit = r * cos(th) + x;
+  yunit = r * sin(th) + y;
+  h = plot3(xunit, yunit, 2*ones(size(xunit)), 'k-', 'LineWidth', 2);
+  hold off
+
+  figure, trisurf(adj, nodes(:,1), nodes(:,2), imag(u));
+  shading interp;
+  view(0,90)
+  axis('equal','tight');
+  xlabel('x');
+  ylabel('y');
+  title('State: Imaginary Part');
+  axis square
+  hold on
+  h = plot3(xunit, yunit, 2*ones(size(xunit)), 'k-', 'LineWidth', 2);
+  hold off
+
+  figure, trisurf(adj, nodes(:,1), nodes(:,2), real(z));
+  shading interp;
+  view(0,90)
+  axis('equal','tight');
+  xlabel('x');
+  ylabel('y');
+  title('Control: Real Part');
+  axis square
+  hold on
+  h = plot3(xunit, yunit, 2*ones(size(xunit)), 'k-', 'LineWidth', 2);
+  hold off
+
+  figure, trisurf(adj, nodes(:,1), nodes(:,2), imag(z));
+  shading interp;
+  view(0,90)
+  axis('equal','tight');
+  xlabel('x');
+  ylabel('y');
+  title('Control: Imaginary Part');
+  axis square
+  hold on
+  h = plot3(xunit, yunit, 2*ones(size(xunit)), 'k-', 'LineWidth', 2);
+  hold off
+
+end
diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/study.m b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/study.m
new file mode 100644
index 000000000000..18fe5e159d02
--- /dev/null
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/study.m
@@ -0,0 +1,38 @@
+clear all;
+
+mesh = 0; wave = 5; damp = 0; impd = 1; fullObs = false; fullCtrl = false; solver = 'PRDW';
+%% mesh     = 0, 1, 2, 3, 4 is mesh resolution from coarsest to finest
+%%            NOTE: Meshes are available only for the cases 0 and 1 in the repository.
+%%            For finer meshes, consult the /mesh/README.md file.
+%% wave     = 5, 10, 20, 40, 80 is wavenumber
+%%            NOTE: The minimum mesh resolutions that support these wavenumbers
+%%            are 0, 1, 2, 3, and 4, respectively.
+%% damp     = 0, 1 is to turn off/on damping
+%% impd     = 0, 1 is to select reflective/radiating boundary conditions
+%% fullObs  = false, true is to force full state observations, i.e., everywhere in the domain
+%% fullCtrl = false, true is to force distributed controls, i.e., everywhere in the domain
+%% solver   = 'DIRECT'   for direct KKT solve
+%%            'PRDW'     for (perturbed) Rees-Dollar-Wathen preconditioner with SYMMLQ
+%%            'IMSHIFT'  for imaginary shift preconditioner with SYMMLQ
+
+file = ['input_mesh' int2str(mesh) '_wave' int2str(wave) '_damp' int2str(damp) '_imp' int2str(impd) '.xml'];
+command = ['cp inputs/' file ' input_ex01.xml'];
+fprintf('Executing system command: $ %s\n', command);
+system(command);
+
+fprintf("\nGenerating matrix files ...\n");
+tic
+!./ROL_example_PDE-OPT_published_Helmholtz_KouriRidzalTuminaro2020_example_01.exe
+toc
+
+outfile = ['results/Results_' file]
+fileID  = fopen(outfile, 'w');
+
+% Run study.
+for i=0:6
+  beta  = 10^(-i)
+  niter = run(beta, wave, fullObs, fullCtrl, solver)
+  fprintf(fileID, '%e  %d\n', beta, niter);
+end
+
+fclose(fileID);

From 668122d8530fa97d6af942a7226a14e95f738d19 Mon Sep 17 00:00:00 2001
From: "Drew P. Kouri" <dpkouri@sandia.gov>
Date: Fri, 26 Jun 2020 17:51:40 -0600
Subject: [PATCH 17/19] Removed unused variable.

---
 .../Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp     | 1 -
 1 file changed, 1 deletion(-)

diff --git a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp
index bb6f4d286038..8512bafb3d14 100644
--- a/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp
+++ b/packages/rol/example/PDE-OPT/published/Helmholtz_KouriRidzalTuminaro2020/pde_helmholtz_imag.hpp
@@ -131,7 +131,6 @@ class PDE_Helmholtz_Imag : public PDE<Real> {
     int c = fe_->gradN()->dimension(0);
     int f = fe_->gradN()->dimension(1);
     int p = fe_->gradN()->dimension(2);
-    int d = fe_->gradN()->dimension(3);
     // Initialize residuals.
     res = ROL::makePtr<Intrepid::FieldContainer<Real>>(c,f);
     // Evaluate/interpolate finite element fields on cells.

From 3f3c0c3552e60d4ef0fa78da18b0a47cf2aaf416 Mon Sep 17 00:00:00 2001
From: Trilinos Entity <trilinos@sandia.gov>
Date: Mon, 29 Jun 2020 06:27:27 -0600
Subject: [PATCH 18/19] The compile times for two Panzer files went up to over
 6 hours. This turns off one feature that allows these in about 24 minutes.
 Please remove when issue #7532 is resolved.

---
 cmake/std/PullRequestLinuxCuda9.2TestingSettings.cmake | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/cmake/std/PullRequestLinuxCuda9.2TestingSettings.cmake b/cmake/std/PullRequestLinuxCuda9.2TestingSettings.cmake
index 18eb6fe0c67a..7cf0790b3835 100644
--- a/cmake/std/PullRequestLinuxCuda9.2TestingSettings.cmake
+++ b/cmake/std/PullRequestLinuxCuda9.2TestingSettings.cmake
@@ -73,6 +73,11 @@ set (TPL_ENABLE_BoostLib OFF CACHE BOOL "Set by default for CUDA PR testing")
 set (TPL_ENABLE_Matio OFF CACHE BOOL "Set by default for CUDA PR testing")
 set (TPL_DLlib_LIBRARIES "-ldl" CACHE FILEPATH "Set by default for CUDA PR testing")
 
+# The compile times for two Panzer files went up to over 6 hours. This
+# turns off one feature that allows these in about 24 minutes. Please remove
+# when issue #7532 is resolved.
+set (Sacado_NEW_FAD_DESIGN_IS_DEFAULT OFF CACHE BOOL "Temporary fix for issue #7532" )
+
 # Disable some packages that can't be tested with this PR build
 set (Trilinos_ENABLE_ShyLU_NodeTacho OFF CACHE BOOL
   "Can't test Tacho with CUDA without RDC" FORCE)

From 4fdfe241bb2b9385a12ea5f84660659f7bc67f57 Mon Sep 17 00:00:00 2001
From: Paul Wolfenbarger <prwolfe@sandia.gov>
Date: Mon, 29 Jun 2020 10:10:17 -0600
Subject: [PATCH 19/19] Registrar.C - cast to correct return type

Roger correctly pointed out that this should be
long not int.
---
 packages/pamgen/rtcompiler/Registrar.C | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/packages/pamgen/rtcompiler/Registrar.C b/packages/pamgen/rtcompiler/Registrar.C
index a6b5521454c5..c5c63a8139f5 100644
--- a/packages/pamgen/rtcompiler/Registrar.C
+++ b/packages/pamgen/rtcompiler/Registrar.C
@@ -556,7 +556,7 @@ double Readline::execute(Value** args)
 
   string line;
   if (getline(curr_file, line)) {
-     assert(args[1]->getSize() > int(line.size())); // buffer needs to be big enough
+     assert(args[1]->getSize() > long(line.size())); // buffer needs to be big enough
     for (size_t i = 0; i < line.size(); ++i) {
       args[1]->setArrayValue(line[i], i);
     }