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Merge pull request #140 from WIAS-PDELib/jf/linearsolve_precs
Use LinearSolve precs API to control preconditioners
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,158 @@ | ||
| #= | ||
| # 003: New linear solver API | ||
| ([source code](@__SOURCE_URL__)) | ||
| =# | ||
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| module Example003_Solvers | ||
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| ## under development | ||
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| using Printf | ||
| using VoronoiFVM | ||
| using ExtendableGrids | ||
| using GridVisualize | ||
| using LinearSolve | ||
| using ExtendableSparse | ||
| using ExtendableSparse: ILUZeroPreconBuilder, JacobiPreconBuilder, SmoothedAggregationPreconBuilder | ||
| using SparseArrays | ||
| using AMGCLWrap | ||
| using AlgebraicMultigrid | ||
| using LinearAlgebra | ||
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| using Test | ||
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| function main(; n = 10, Plotter = nothing, assembly = :edgwwise, kwargs...) | ||
| h = 1.0 / convert(Float64, n) | ||
| X = collect(0.0:h:1.0) | ||
| Y = collect(0.0:h:1.0) | ||
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| grid = simplexgrid(X, Y) | ||
| nn = num_nodes(grid) | ||
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| eps = 1.0e-2 | ||
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| function reaction(f, u, node, data) | ||
| f[1] = u[1]^2 | ||
| end | ||
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| function flux(f, u, edge, data) | ||
| f[1] = eps * (u[1, 1]^2 - u[1, 2]^2) | ||
| end | ||
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| function source(f, node, data) | ||
| x1 = node[1] - 0.5 | ||
| x2 = node[2] - 0.5 | ||
| f[1] = exp(-20.0 * (x1^2 + x2^2)) | ||
| end | ||
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| function storage(f, u, node, data) | ||
| f[1] = u[1] | ||
| end | ||
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| function bcondition(f, u, node, data) | ||
| boundary_dirichlet!(f, | ||
| u, | ||
| node; | ||
| species = 1, | ||
| region = 2, | ||
| value = ramp(node.time; dt = (0, 0.1), du = (0, 1))) | ||
| boundary_dirichlet!(f, | ||
| u, | ||
| node; | ||
| species = 1, | ||
| region = 4, | ||
| value = ramp(node.time; dt = (0, 0.1), du = (0, 1))) | ||
| end | ||
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| sys = VoronoiFVM.System(grid; reaction, flux, source, storage, bcondition, assembly, | ||
| species = [1]) | ||
| @info "UMFPACK:" | ||
| umf_sol = solve(sys; inival = 0.5, method_linear = LinearSolve.UMFPACKFactorization(), kwargs...) | ||
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| @info "KLU:" | ||
| sol = solve(sys; inival = 0.5, method_linear = LinearSolve.KLUFactorization(), kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Sparspak:" | ||
| sol = solve(sys; inival = 0.5, method_linear = LinearSolve.SparspakFactorization(), kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov-ilu0:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(precs=ILUZeroPreconBuilder()), | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov-block1" | ||
| precs=BlockPreconBuilder(;precs=ILUZeroPreconBuilder(), partitioning= A-> [1:(size(A,1) ÷ 2), (size(A,1) ÷ 2 + 1):size(A,1)]) | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs), | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov-block2" | ||
| precs=BlockPreconBuilder(;precs=ILUZeroPreconBuilder(), partitioning= A-> [1:2:size(A,1), 2:2:size(A,1)]) | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs), | ||
| log=true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov - delayed factorization:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs=LinearSolvePreconBuilder(SparspakFactorization())), | ||
| keepcurrent_linear =false, | ||
| log=true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
| @test summary(history(sol)).factorizations == 1 | ||
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| @info "Krylov - jacobi:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs=JacobiPreconBuilder()), | ||
| keepcurrent_linear = true, log=true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
| @test summary(history(sol)).factorizations > 1 | ||
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| @info "Krylov - SA_AMG:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs=SmoothedAggregationPreconBuilder()), | ||
| keepcurrent_linear = true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov - AMGCL_AMG:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs=AMGPreconBuilder()), | ||
| keepcurrent_linear = true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
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| @info "Krylov - AMGnCL_RLX:" | ||
| sol = solve(sys; | ||
| inival = 0.5, | ||
| method_linear = KrylovJL_BICGSTAB(;precs=RLXPreconBuilder()), | ||
| keepcurrent_linear = true, | ||
| kwargs...) | ||
| @test norm(sol - umf_sol, Inf)<1.0e-7 | ||
| end | ||
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| function runtests() | ||
| @testset "edgewise" begin | ||
| main(; assembly = :edgewise) | ||
| end | ||
| @testset "cellwise" begin | ||
| main(; assembly = :cellwise) | ||
| end | ||
| end | ||
| end |
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Registration pull request created: JuliaRegistries/General/119128
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