1 docstring not included in the manual: GridapSolvers.SolverInterfaces.set_depth! :: Tuple{GridapSolvers.SolverInterfaces.ConvergenceLog, Int64} These are docstrings in the checked modules (configured with the modules keyword) that are not included in canonical @docs or @autodocs blocks.

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failed to run `@example` block in src/Examples/DarcyGMG.md:5-126 ```@example DarcyGMG module DarcyGMGApplication using Test using LinearAlgebra using FillArrays, BlockArrays using Gridap using Gridap.ReferenceFEs, Gridap.Algebra, Gridap.Geometry, Gridap.FESpaces using Gridap.CellData, Gridap.MultiField, Gridap.Algebra using PartitionedArrays using GridapDistributed using GridapSolvers using GridapSolvers.LinearSolvers, GridapSolvers.MultilevelTools, GridapSolvers.PatchBasedSmoothers using GridapSolvers.BlockSolvers: LinearSystemBlock, BiformBlock, BlockTriangularSolver function get_patch_smoothers(mh,tests,biform,patch_decompositions,qdegree) patch_spaces = PatchFESpace(tests,patch_decompositions) nlevs = num_levels(mh) smoothers = map(view(tests,1:nlevs-1),patch_decompositions,patch_spaces) do tests, PD, Ph Vh = get_fe_space(tests) Ω = Triangulation(PD) dΩ = Measure(Ω,qdegree) ap = (u,v) -> biform(u,v,dΩ) patch_smoother = PatchBasedLinearSolver(ap,Ph,Vh) return RichardsonSmoother(patch_smoother,10,0.2) end return smoothers end function get_bilinear_form(mh_lev,biform,qdegree) model = get_model(mh_lev) Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) return (u,v) -> biform(u,v,dΩ) end function main(distribute,np,nc,np_per_level) parts = distribute(LinearIndices((prod(np),))) Dc = length(nc) domain = (Dc == 2) ? (0,1,0,1) : (0,1,0,1,0,1) mh = CartesianModelHierarchy(parts,np_per_level,domain,nc) model = get_model(mh,1) order = 2 qdegree = 2*(order+1) reffe_u = ReferenceFE(raviart_thomas,Float64,order-1) reffe_p = ReferenceFE(lagrangian,Float64,order-1;space=:P) u_exact(x) = (Dc==2) ? VectorValue(x[1]+x[2],-x[2]) : VectorValue(x[1]+x[2],-x[2],0.0) p_exact(x) = 2.0*x[1]-1.0 tests_u = TestFESpace(mh,reffe_u,dirichlet_tags=["boundary"]); trials_u = TrialFESpace(tests_u,[u_exact]); U, V = get_fe_space(trials_u,1), get_fe_space(tests_u,1) Q = TestFESpace(model,reffe_p;conformity=:L2) mfs = Gridap.MultiField.BlockMultiFieldStyle() X = MultiFieldFESpace([U,Q];style=mfs) Y = MultiFieldFESpace([V,Q];style=mfs) α = 1.e2 f(x) = u_exact(x) + ∇(p_exact)(x) graddiv(u,v,dΩ) = ∫(α*divergence(u)⋅divergence(v))dΩ biform_u(u,v,dΩ) = ∫(v⊙u)dΩ + graddiv(u,v,dΩ) biform((u,p),(v,q),dΩ) = biform_u(u,v,dΩ) - ∫(divergence(v)*p)dΩ - ∫(divergence(u)*q)dΩ liform((v,q),dΩ) = ∫(v⋅f)dΩ Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) a(u,v) = biform(u,v,dΩ) l(v) = liform(v,dΩ) op = AffineFEOperator(a,l,X,Y) A, b = get_matrix(op), get_vector(op); biforms = map(mhl -> get_bilinear_form(mhl,biform_u,qdegree),mh) patch_decompositions = PatchDecomposition(mh) smoothers = get_patch_smoothers( mh,tests_u,biform_u,patch_decompositions,qdegree ) prolongations = setup_prolongation_operators( tests_u,qdegree;mode=:residual ) restrictions = setup_restriction_operators( tests_u,qdegree;mode=:residual,solver=IS_ConjugateGradientSolver(;reltol=1.e-6) ) gmg = GMGLinearSolver( mh,trials_u,tests_u,biforms, prolongations,restrictions, pre_smoothers=smoothers, post_smoothers=smoothers, coarsest_solver=LUSolver(), maxiter=3,mode=:preconditioner,verbose=i_am_main(parts) ) solver_u = gmg solver_p = CGSolver(JacobiLinearSolver();maxiter=20,atol=1e-14,rtol=1.e-6,verbose=i_am_main(parts)) solver_p.log.depth = 2 bblocks = [LinearSystemBlock() LinearSystemBlock(); LinearSystemBlock() BiformBlock((p,q) -> ∫(-1.0/α*p*q)dΩ,Q,Q)] coeffs = [1.0 1.0; 0.0 1.0] P = BlockTriangularSolver(bblocks,[solver_u,solver_p],coeffs,:upper) solver = FGMRESSolver(20,P;atol=1e-14,rtol=1.e-10,verbose=i_am_main(parts)) ns = numerical_setup(symbolic_setup(solver,A),A) x = allocate_in_domain(A); fill!(x,0.0) solve!(x,ns,b) r = allocate_in_range(A) mul!(r,A,x) r .-= b @test norm(r) < 1.e-5 end end # module ``` exception = ArgumentError: Package FillArrays not found in current path. - Run `import Pkg; Pkg.add("FillArrays")` to install the FillArrays package. Sta

failed to run `@example` block in src/Examples/NavierStokes.md:29-128 ```@example NavierStokes module NavierStokesApplication using Test using LinearAlgebra using FillArrays, BlockArrays using Gridap using Gridap.ReferenceFEs, Gridap.Algebra, Gridap.Geometry, Gridap.FESpaces using Gridap.CellData, Gridap.MultiField, Gridap.Algebra using PartitionedArrays using GridapDistributed using GridapSolvers using GridapSolvers.LinearSolvers, GridapSolvers.MultilevelTools, GridapSolvers.NonlinearSolvers using GridapSolvers.BlockSolvers: LinearSystemBlock, NonlinearSystemBlock, BiformBlock, BlockTriangularSolver function add_labels_2d!(labels) add_tag_from_tags!(labels,"top",[6]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,7,8]) end function add_labels_3d!(labels) add_tag_from_tags!(labels,"top",[22]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26]) end function main(distribute,np,nc) parts = distribute(LinearIndices((prod(np),))) Dc = length(nc) domain = (Dc == 2) ? (0,1,0,1) : (0,1,0,1,0,1) model = CartesianDiscreteModel(parts,np,domain,nc) add_labels! = (Dc == 2) ? add_labels_2d! : add_labels_3d! add_labels!(get_face_labeling(model)) order = 2 qdegree = 2*(order+1) reffe_u = ReferenceFE(lagrangian,VectorValue{Dc,Float64},order) reffe_p = ReferenceFE(lagrangian,Float64,order-1;space=:P) u_walls = (Dc==2) ? VectorValue(0.0,0.0) : VectorValue(0.0,0.0,0.0) u_top = (Dc==2) ? VectorValue(1.0,0.0) : VectorValue(1.0,0.0,0.0) V = TestFESpace(model,reffe_u,dirichlet_tags=["walls","top"]); U = TrialFESpace(V,[u_walls,u_top]); Q = TestFESpace(model,reffe_p;conformity=:L2,constraint=:zeromean) mfs = Gridap.MultiField.BlockMultiFieldStyle() X = MultiFieldFESpace([U,Q];style=mfs) Y = MultiFieldFESpace([V,Q];style=mfs) Re = 10.0 ν = 1/Re α = 1.e2 f = (Dc==2) ? VectorValue(0.0,0.0) : VectorValue(0.0,0.0,0.0) Π_Qh = LocalProjectionMap(divergence,Q,qdegree) graddiv(u,v,dΩ) = ∫(α*(∇⋅v)⋅Π_Qh(u))dΩ conv(u,∇u) = (∇u')⋅u dconv(du,∇du,u,∇u) = conv(u,∇du)+conv(du,∇u) c(u,v,dΩ) = ∫(v⊙(conv∘(u,∇(u))))dΩ dc(u,du,dv,dΩ) = ∫(dv⊙(dconv∘(du,∇(du),u,∇(u))))dΩ lap(u,v,dΩ) = ∫(ν*∇(v)⊙∇(u))dΩ rhs(v,dΩ) = ∫(v⋅f)dΩ jac_u(u,du,dv,dΩ) = lap(du,dv,dΩ) + dc(u,du,dv,dΩ) + graddiv(du,dv,dΩ) jac((u,p),(du,dp),(dv,dq),dΩ) = jac_u(u,du,dv,dΩ) - ∫(divergence(dv)*dp)dΩ - ∫(divergence(du)*dq)dΩ res_u(u,v,dΩ) = lap(u,v,dΩ) + c(u,v,dΩ) + graddiv(u,v,dΩ) - rhs(v,dΩ) res((u,p),(v,q),dΩ) = res_u(u,v,dΩ) - ∫(divergence(v)*p)dΩ - ∫(divergence(u)*q)dΩ Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) jac_h(x,dx,dy) = jac(x,dx,dy,dΩ) res_h(x,dy) = res(x,dy,dΩ) op = FEOperator(res_h,jac_h,X,Y) solver_u = LUSolver() solver_p = CGSolver(JacobiLinearSolver();maxiter=20,atol=1e-14,rtol=1.e-6,verbose=i_am_main(parts)) solver_p.log.depth = 4 bblocks = [NonlinearSystemBlock() LinearSystemBlock(); LinearSystemBlock() BiformBlock((p,q) -> ∫(-(1.0/α)*p*q)dΩ,Q,Q)] coeffs = [1.0 1.0; 0.0 1.0] P = BlockTriangularSolver(bblocks,[solver_u,solver_p],coeffs,:upper) solver = FGMRESSolver(20,P;atol=1e-11,rtol=1.e-8,verbose=i_am_main(parts)) solver.log.depth = 2 nlsolver = NewtonSolver(solver;maxiter=20,atol=1e-10,rtol=1.e-12,verbose=i_am_main(parts)) xh = solve(nlsolver,op); @test true end end # module ``` exception = ArgumentError: Package FillArrays not found in current path. - Run `import Pkg; Pkg.add("FillArrays")` to install the FillArrays package. Stacktrace: [1] macro expansion @ ./loading.jl:1772 [inlined] [2] macro expansion @ ./lock.jl:267 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:1753 [4] #invoke_in_world#3 @ ./essentials.jl:926 [inlined] [5] invoke_in_world @ ./essentials.jl:923 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:1746 [7] eval @ ./boot.jl:385 [inlined] [8] #58 @ ~/.julia/packages/Documenter/qoyeC/

failed to run `@example` block in src/Examples/NavierStokesGMG.md:31-175 ```@example NavierStokesGMG module NavierStokesGMGApplication using Test using LinearAlgebra using FillArrays, BlockArrays using Gridap using Gridap.ReferenceFEs, Gridap.Algebra, Gridap.Geometry, Gridap.FESpaces using Gridap.CellData, Gridap.MultiField, Gridap.Algebra using PartitionedArrays using GridapDistributed using GridapP4est using GridapSolvers using GridapSolvers.LinearSolvers, GridapSolvers.MultilevelTools using GridapSolvers.PatchBasedSmoothers, GridapSolvers.NonlinearSolvers using GridapSolvers.BlockSolvers: NonlinearSystemBlock, LinearSystemBlock, BiformBlock, BlockTriangularSolver function get_patch_smoothers(mh,tests,biform,patch_decompositions,qdegree;is_nonlinear=false) patch_spaces = PatchFESpace(tests,patch_decompositions) nlevs = num_levels(mh) smoothers = map(view(tests,1:nlevs-1),patch_decompositions,patch_spaces) do tests, PD, Ph Vh = get_fe_space(tests) Ω = Triangulation(PD) dΩ = Measure(Ω,qdegree) ap = (u,du,dv) -> biform(u,du,dv,dΩ) patch_smoother = PatchBasedLinearSolver(ap,Ph,Vh;is_nonlinear) return RichardsonSmoother(patch_smoother,10,0.2) end return smoothers end function get_trilinear_form(mh_lev,triform,qdegree) model = get_model(mh_lev) Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) return (u,du,dv) -> triform(u,du,dv,dΩ) end function add_labels_2d!(labels) add_tag_from_tags!(labels,"top",[6]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,7,8]) end function add_labels_3d!(labels) add_tag_from_tags!(labels,"top",[22]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26]) end function main(distribute,np,nc,np_per_level) parts = distribute(LinearIndices((prod(np),))) Dc = length(nc) domain = (Dc == 2) ? (0,1,0,1) : (0,1,0,1,0,1) add_labels! = (Dc == 2) ? add_labels_2d! : add_labels_3d! mh = CartesianModelHierarchy(parts,np_per_level,domain,nc;add_labels! = add_labels!) model = get_model(mh,1) order = 2 qdegree = 2*(order+1) reffe_u = ReferenceFE(lagrangian,VectorValue{Dc,Float64},order) reffe_p = ReferenceFE(lagrangian,Float64,order-1;space=:P) u_walls = (Dc==2) ? VectorValue(0.0,0.0) : VectorValue(0.0,0.0,0.0) u_top = (Dc==2) ? VectorValue(1.0,0.0) : VectorValue(1.0,0.0,0.0) tests_u = TestFESpace(mh,reffe_u,dirichlet_tags=["walls","top"]); trials_u = TrialFESpace(tests_u,[u_walls,u_top]); U, V = get_fe_space(trials_u,1), get_fe_space(tests_u,1) Q = TestFESpace(model,reffe_p;conformity=:L2,constraint=:zeromean) mfs = Gridap.MultiField.BlockMultiFieldStyle() X = MultiFieldFESpace([U,Q];style=mfs) Y = MultiFieldFESpace([V,Q];style=mfs) Re = 10.0 ν = 1/Re α = 1.e2 f = (Dc==2) ? VectorValue(1.0,1.0) : VectorValue(1.0,1.0,1.0) Π_Qh = LocalProjectionMap(divergence,reffe_p,qdegree) graddiv(u,v,dΩ) = ∫(α*(∇⋅v)⋅Π_Qh(u))dΩ conv(u,∇u) = (∇u')⋅u dconv(du,∇du,u,∇u) = conv(u,∇du)+conv(du,∇u) c(u,v,dΩ) = ∫(v⊙(conv∘(u,∇(u))))dΩ dc(u,du,dv,dΩ) = ∫(dv⊙(dconv∘(du,∇(du),u,∇(u))))dΩ lap(u,v,dΩ) = ∫(ν*∇(v)⊙∇(u))dΩ rhs(v,dΩ) = ∫(v⋅f)dΩ jac_u(u,du,dv,dΩ) = lap(du,dv,dΩ) + dc(u,du,dv,dΩ) + graddiv(du,dv,dΩ) jac((u,p),(du,dp),(dv,dq),dΩ) = jac_u(u,du,dv,dΩ) - ∫(divergence(dv)*dp)dΩ - ∫(divergence(du)*dq)dΩ res_u(u,v,dΩ) = lap(u,v,dΩ) + c(u,v,dΩ) + graddiv(u,v,dΩ) - rhs(v,dΩ) res((u,p),(v,q),dΩ) = res_u(u,v,dΩ) - ∫(divergence(v)*p)dΩ - ∫(divergence(u)*q)dΩ Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) jac_h(x,dx,dy) = jac(x,dx,dy,dΩ) res_h(x,dy) = res(x,dy,dΩ) op = FEOperator(res_h,jac_h,X,Y) biforms = map(mhl -> get_trilinear_form(mhl,jac_u,qdegree),mh) patch_decompositions = PatchDecomposition(mh) smoothers = get_patch_smoothers( mh,trials_u,jac_u,patch_decompositions,qdegree;is_nonlinear=true ) prolongations = setup_patch_prolongation_operators( tests_u,jac_u,graddiv,qdegree;is_nonlinear=true ) restrictions = setup_patch_restriction_operators( tests_u,prolongations,graddiv,qdegree;solver=IS_ConjugateGradientSolver(;

failed to run `@example` block in src/Examples/Stokes.md:29-120 ```@example Stokes module StokesApplication using Test using LinearAlgebra using FillArrays, BlockArrays using Gridap using Gridap.ReferenceFEs, Gridap.Algebra, Gridap.Geometry, Gridap.FESpaces using Gridap.CellData, Gridap.MultiField, Gridap.Algebra using PartitionedArrays using GridapDistributed using GridapSolvers using GridapSolvers.LinearSolvers, GridapSolvers.MultilevelTools using GridapSolvers.BlockSolvers: LinearSystemBlock, BiformBlock, BlockTriangularSolver function add_labels_2d!(labels) add_tag_from_tags!(labels,"top",[6]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,7,8]) end function add_labels_3d!(labels) add_tag_from_tags!(labels,"top",[22]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26]) end function main(distribute,np,nc) parts = distribute(LinearIndices((prod(np),))) Dc = length(nc) domain = (Dc == 2) ? (0,1,0,1) : (0,1,0,1,0,1) model = CartesianDiscreteModel(parts,np,domain,nc) add_labels! = (Dc == 2) ? add_labels_2d! : add_labels_3d! add_labels!(get_face_labeling(model)) order = 2 qdegree = 2*(order+1) reffe_u = ReferenceFE(lagrangian,VectorValue{Dc,Float64},order) reffe_p = ReferenceFE(lagrangian,Float64,order-1;space=:P) u_walls = (Dc==2) ? VectorValue(0.0,0.0) : VectorValue(0.0,0.0,0.0) u_top = (Dc==2) ? VectorValue(1.0,0.0) : VectorValue(1.0,0.0,0.0) V = TestFESpace(model,reffe_u,dirichlet_tags=["walls","top"]); U = TrialFESpace(V,[u_walls,u_top]); Q = TestFESpace(model,reffe_p;conformity=:L2,constraint=:zeromean) mfs = Gridap.MultiField.BlockMultiFieldStyle() X = MultiFieldFESpace([U,Q];style=mfs) Y = MultiFieldFESpace([V,Q];style=mfs) α = 1.e2 f = (Dc==2) ? VectorValue(1.0,1.0) : VectorValue(1.0,1.0,1.0) Π_Qh = LocalProjectionMap(divergence,Q,qdegree) graddiv(u,v,dΩ) = ∫(α*(∇⋅v)⋅Π_Qh(u))dΩ biform_u(u,v,dΩ) = ∫(∇(v)⊙∇(u))dΩ + graddiv(u,v,dΩ) biform((u,p),(v,q),dΩ) = biform_u(u,v,dΩ) - ∫(divergence(v)*p)dΩ - ∫(divergence(u)*q)dΩ liform((v,q),dΩ) = ∫(v⋅f)dΩ Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) a(u,v) = biform(u,v,dΩ) l(v) = liform(v,dΩ) op = AffineFEOperator(a,l,X,Y) A, b = get_matrix(op), get_vector(op); solver_u = LUSolver() solver_p = CGSolver(JacobiLinearSolver();maxiter=20,atol=1e-14,rtol=1.e-6,verbose=i_am_main(parts)) solver_p.log.depth = 2 bblocks = [LinearSystemBlock() LinearSystemBlock(); LinearSystemBlock() BiformBlock((p,q) -> ∫(-(1.0/α)*p*q)dΩ,Q,Q)] coeffs = [1.0 1.0; 0.0 1.0] P = BlockTriangularSolver(bblocks,[solver_u,solver_p],coeffs,:upper) solver = FGMRESSolver(20,P;atol=1e-10,rtol=1.e-12,verbose=i_am_main(parts)) ns = numerical_setup(symbolic_setup(solver,A),A) x = allocate_in_domain(A); fill!(x,0.0) solve!(x,ns,b) r = allocate_in_range(A) mul!(r,A,x) r .-= b @test norm(r) < 1.e-7 end end # module ``` exception = ArgumentError: Package FillArrays not found in current path. - Run `import Pkg; Pkg.add("FillArrays")` to install the FillArrays package. Stacktrace: [1] macro expansion @ ./loading.jl:1772 [inlined] [2] macro expansion @ ./lock.jl:267 [inlined] [3] __require(into::Module, mod::Symbol) @ Base ./loading.jl:1753 [4] #invoke_in_world#3 @ ./essentials.jl:926 [inlined] [5] invoke_in_world @ ./essentials.jl:923 [inlined] [6] require(into::Module, mod::Symbol) @ Base ./loading.jl:1746 [7] eval @ ./boot.jl:385 [inlined] [8] #58 @ ~/.julia/packages/Documenter/qoyeC/src/expander_pipeline.jl:754 [inlined] [9] cd(f::Documenter.var"#58#60"{Module, Expr}, dir::String) @ Base.Filesystem ./file.jl:112 [10] (::Documenter.var"#57#59"{Documenter.Page, Module, Expr})() @ Documenter ~/.julia/packages/Documenter/qoyeC/src/expander_pipeline.jl:753 [11] (::IOCapture.var"#5#9"{DataType, Documenter.var"#57#59"{Documenter.Page, Module, Expr}, IOContext{Base.PipeEndpoint

failed to run `@example` block in src/Examples/StokesGMG.md:31-168 ```@example StokesGMG module StokesGMGApplication using Test using LinearAlgebra using FillArrays, BlockArrays using Gridap using Gridap.ReferenceFEs, Gridap.Algebra, Gridap.Geometry, Gridap.FESpaces using Gridap.CellData, Gridap.MultiField, Gridap.Algebra using PartitionedArrays using GridapDistributed using GridapP4est using GridapSolvers using GridapSolvers.LinearSolvers, GridapSolvers.MultilevelTools, GridapSolvers.PatchBasedSmoothers using GridapSolvers.BlockSolvers: LinearSystemBlock, BiformBlock, BlockTriangularSolver function get_patch_smoothers(mh,tests,biform,patch_decompositions,qdegree) patch_spaces = PatchFESpace(tests,patch_decompositions) nlevs = num_levels(mh) smoothers = map(view(tests,1:nlevs-1),patch_decompositions,patch_spaces) do tests, PD, Ph Vh = get_fe_space(tests) Ω = Triangulation(PD) dΩ = Measure(Ω,qdegree) ap = (u,v) -> biform(u,v,dΩ) patch_smoother = PatchBasedLinearSolver(ap,Ph,Vh) return RichardsonSmoother(patch_smoother,10,0.2) end return smoothers end function get_bilinear_form(mh_lev,biform,qdegree) model = get_model(mh_lev) Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) return (u,v) -> biform(u,v,dΩ) end function add_labels_2d!(labels) add_tag_from_tags!(labels,"top",[6]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,7,8]) end function add_labels_3d!(labels) add_tag_from_tags!(labels,"top",[22]) add_tag_from_tags!(labels,"walls",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26]) end function main(distribute,np,nc,np_per_level) parts = distribute(LinearIndices((prod(np),))) Dc = length(nc) domain = (Dc == 2) ? (0,1,0,1) : (0,1,0,1,0,1) add_labels! = (Dc == 2) ? add_labels_2d! : add_labels_3d! mh = CartesianModelHierarchy(parts,np_per_level,domain,nc;add_labels! = add_labels!) model = get_model(mh,1) order = 2 qdegree = 2*(order+1) reffe_u = ReferenceFE(lagrangian,VectorValue{Dc,Float64},order) reffe_p = ReferenceFE(lagrangian,Float64,order-1;space=:P) u_walls = (Dc==2) ? VectorValue(0.0,0.0) : VectorValue(0.0,0.0,0.0) u_top = (Dc==2) ? VectorValue(1.0,0.0) : VectorValue(1.0,0.0,0.0) tests_u = TestFESpace(mh,reffe_u,dirichlet_tags=["walls","top"]); trials_u = TrialFESpace(tests_u,[u_walls,u_top]); U, V = get_fe_space(trials_u,1), get_fe_space(tests_u,1) Q = TestFESpace(model,reffe_p;conformity=:L2,constraint=:zeromean) mfs = Gridap.MultiField.BlockMultiFieldStyle() X = MultiFieldFESpace([U,Q];style=mfs) Y = MultiFieldFESpace([V,Q];style=mfs) α = 1.e2 f = (Dc==2) ? VectorValue(1.0,1.0) : VectorValue(1.0,1.0,1.0) Π_Qh = LocalProjectionMap(divergence,reffe_p,qdegree) graddiv(u,v,dΩ) = ∫(α*(∇⋅v)⋅Π_Qh(u))dΩ biform_u(u,v,dΩ) = ∫(∇(v)⊙∇(u))dΩ + graddiv(u,v,dΩ) biform((u,p),(v,q),dΩ) = biform_u(u,v,dΩ) - ∫(divergence(v)*p)dΩ - ∫(divergence(u)*q)dΩ liform((v,q),dΩ) = ∫(v⋅f)dΩ Ω = Triangulation(model) dΩ = Measure(Ω,qdegree) a(u,v) = biform(u,v,dΩ) l(v) = liform(v,dΩ) op = AffineFEOperator(a,l,X,Y) A, b = get_matrix(op), get_vector(op); biforms = map(mhl -> get_bilinear_form(mhl,biform_u,qdegree),mh) patch_decompositions = PatchDecomposition(mh) smoothers = get_patch_smoothers( mh,tests_u,biform_u,patch_decompositions,qdegree ) prolongations = setup_patch_prolongation_operators( tests_u,biform_u,graddiv,qdegree ) restrictions = setup_patch_restriction_operators( tests_u,prolongations,graddiv,qdegree;solver=CGSolver(JacobiLinearSolver()) ) gmg = GMGLinearSolver( mh,trials_u,tests_u,biforms, prolongations,restrictions, pre_smoothers=smoothers, post_smoothers=smoothers, coarsest_solver=LUSolver(), maxiter=4,mode=:preconditioner,verbose=i_am_main(parts) ) solver_u = gmg solver_p = CGSolver(JacobiLinearSolver();maxiter=20,atol=1e-14,rtol=1.e-6,verbose=i_am_main(parts)) solver_u.log.depth = 2 solver_p.log.depth = 2 diag_blocks = [LinearSystemBlock(),BiformBlock((p,q) -> ∫(-1.0/α*p*q)dΩ,Q,Q)] bblocks = map(CartesianIndic

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