First Test with Robin BCs working

test/FESpacesTests/FEOperatorsTests.jl

@@ -72,10 +72,10 @@ eh1 = sqrt(sum( integrate(h1(e),trian,quad) ))
 @test TestFESpace(op) === V
 
 zh = zero(U)
-r = apply(op,zh)
-r2 = similar(r)
+res = apply(op,zh)
+r2 = similar(res)
 apply!(r2,op,zh)
-@test r ≈ r2
+@test res ≈ r2
 
 cache = solve!(zh,solver,op)
 @test free_dofs(zh) ≈ free_dofs(uh)
@@ -111,13 +111,63 @@ g(v) = inner(v,gfield)
 
 # Define weak form terms
 t_Ω = AffineFETerm(a,b,trian,quad)
-t_Γ = FESource(g,btrian,bquad)
+t_ΓN = FESource(g,btrian,bquad)
 
 # Define Assembler
 assem = SparseMatrixAssembler(V,U)
 
 # Define FE problem
-op = LinearFEOperator(V,U,assem,t_Ω,t_Γ)
+op = LinearFEOperator(V,U,assem,t_Ω,t_ΓN)
+
+# Solve!
+uh = solve(solver,op)
+
+# Define exact solution and error
+e = u - uh
+
+# Compute errors
+el2 = sqrt(sum( integrate(l2(e),trian,quad) ))
+eh1 = sqrt(sum( integrate(h1(e),trian,quad) ))
+
+#writevtk(trian,"trian",nref=4,cellfields=["uh"=>uh,"u"=>u,"e"=>e])
+
+@test el2 < 1.e-8
+@test eh1 < 1.e-8
+
+# With Robin boundary conditions
+
+# Manufactured Robin function
+rfun(x) = 1.0 + ufun(x)
+
+# Construct the FEspace
+order = 1
+diritags = [1,2,3,4,5,7]
+fespace = ConformingFESpace(Float64,model,order,diritags)
+
+# Define test and trial
+V = TestFESpace(fespace)
+U = TrialFESpace(fespace,ufun)
+
+# Setup integration on Robin boundary
+robintags = [6,]
+rtrian = BoundaryTriangulation(model,robintags)
+rquad = CellQuadrature(rtrian,order=2)
+
+# Object describing Robin function
+rfield = CellField(rtrian,rfun)
+
+# Integrands of the Robin BC
+r(v) = inner(v,rfield)
+m(v,u) = inner(v,u)
+
+# Define Robin terms
+t_ΓR = AffineFETerm(m,r,rtrian,rquad)
+
+# Define Assembler
+assem = SparseMatrixAssembler(V,U)
+
+# Define FE problem
+op = LinearFEOperator(V,U,assem,t_Ω,t_ΓN,t_ΓR)
 
 # Solve!
 uh = solve(solver,op)