From f70f2edabb8fe0684bffbeb1790579fb9411b5c9 Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Sun, 30 Jul 2006 23:26:01 +0000 Subject: [PATCH] Add a few more tests. Presently not hp-ified, but will be. git-svn-id: https://svn.dealii.org/trunk@13529 0785d39b-7218-0410-832d-ea1e28bc413d --- tests/hp/step-11.cc | 249 + tests/hp/step-11/cmp/generic | 67 + tests/hp/step-12.cc | 894 + tests/hp/step-12/cmp/generic | 34028 +++++++++++++++++++++++++++++++++ tests/hp/step-13.cc | 834 + tests/hp/step-14.cc | 2166 +++ tests/hp/step-15.cc | 627 + tests/hp/step-15/cmp/generic | 3957 ++++ tests/hp/step-16.cc | 351 + tests/hp/step-16/cmp/generic | 9652 ++++++++++ 10 files changed, 52825 insertions(+) create mode 100644 tests/hp/step-11.cc create mode 100644 tests/hp/step-11/cmp/generic create mode 100644 tests/hp/step-12.cc create mode 100644 tests/hp/step-12/cmp/generic create mode 100644 tests/hp/step-13.cc create mode 100644 tests/hp/step-14.cc create mode 100644 tests/hp/step-15.cc create mode 100644 tests/hp/step-15/cmp/generic create mode 100644 tests/hp/step-16.cc create mode 100644 tests/hp/step-16/cmp/generic diff --git a/tests/hp/step-11.cc b/tests/hp/step-11.cc new file mode 100644 index 0000000000..c2d88a1ea4 --- /dev/null +++ b/tests/hp/step-11.cc @@ -0,0 +1,249 @@ +//---------------------------- step-11.cc --------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2005, 2006 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-11.cc --------------------------- + + +// a hp-ified version of step-11 + + +#include +#include +std::ofstream logfile("step-11/output"); + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include +#include +#include + + +template +class LaplaceProblem +{ + public: + LaplaceProblem (const unsigned int mapping_degree); + void run (); + + private: + void setup_system (); + void assemble_and_solve (); + void solve (); + + Triangulation triangulation; + FE_Q fe; + DoFHandler dof_handler; + MappingQ mapping; + + SparsityPattern sparsity_pattern; + SparseMatrix system_matrix; + ConstraintMatrix mean_value_constraints; + + Vector solution; + Vector system_rhs; + + TableHandler output_table; +}; + + + +template +LaplaceProblem::LaplaceProblem (const unsigned int mapping_degree) : + fe (1), + dof_handler (triangulation), + mapping (mapping_degree) +{ + deallog << "Using mapping with degree " << mapping_degree << ":" + << std::endl + << "============================" + << std::endl; +} + + + +template +void LaplaceProblem::setup_system () +{ + dof_handler.distribute_dofs (fe); + solution.reinit (dof_handler.n_dofs()); + system_rhs.reinit (dof_handler.n_dofs()); + + std::vector boundary_dofs (dof_handler.n_dofs(), false); + DoFTools::extract_boundary_dofs (dof_handler, std::vector(1,true), + boundary_dofs); + + const unsigned int first_boundary_dof + = std::distance (boundary_dofs.begin(), + std::find (boundary_dofs.begin(), + boundary_dofs.end(), + true)); + + mean_value_constraints.clear (); + mean_value_constraints.add_line (first_boundary_dof); + for (unsigned int i=first_boundary_dof+1; i +void LaplaceProblem::assemble_and_solve () +{ + + const unsigned int gauss_degree + = std::max (static_cast(std::ceil(1.*(mapping.get_degree()+1)/2)), + 2U); + MatrixTools::create_laplace_matrix (mapping, dof_handler, + QGauss(gauss_degree), + system_matrix); + VectorTools::create_right_hand_side (mapping, dof_handler, + QGauss(gauss_degree), + ConstantFunction(-2), + system_rhs); + Vector tmp (system_rhs.size()); + VectorTools::create_boundary_right_hand_side (mapping, dof_handler, + QGauss(gauss_degree), + ConstantFunction(1), + tmp); + system_rhs += tmp; + + mean_value_constraints.condense (system_matrix); + mean_value_constraints.condense (system_rhs); + + solve (); + mean_value_constraints.distribute (solution); + + Vector norm_per_cell (triangulation.n_active_cells()); + VectorTools::integrate_difference (mapping, dof_handler, + solution, + ZeroFunction(), + norm_per_cell, + QGauss(gauss_degree+1), + VectorTools::H1_seminorm); + const double norm = norm_per_cell.l2_norm(); + + output_table.add_value ("cells", triangulation.n_active_cells()); + output_table.add_value ("|u|_1", norm); + output_table.add_value ("error", std::fabs(norm-std::sqrt(3.14159265358/2))); +} + + + +template +void LaplaceProblem::solve () +{ + SolverControl solver_control (1000, 1e-12); + SolverCG<> cg (solver_control); + + PreconditionSSOR<> preconditioner; + preconditioner.initialize(system_matrix, 1.2); + + cg.solve (system_matrix, solution, system_rhs, + preconditioner); +} + + + +template +void LaplaceProblem::run () +{ + GridGenerator::hyper_ball (triangulation); + static const HyperBallBoundary boundary; + triangulation.set_boundary (0, boundary); + + for (unsigned int cycle=0; cycle<6; ++cycle, triangulation.refine_global(1)) + { + setup_system (); + assemble_and_solve (); + }; + + output_table.set_precision("|u|_1", 6); + output_table.set_precision("error", 6); + output_table.write_text (deallog.get_file_stream()); + deallog << std::endl; +} + + + +int main () +{ + try + { + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + for (unsigned int mapping_degree=1; mapping_degree<=3; ++mapping_degree) + LaplaceProblem<2>(mapping_degree).run (); + } + catch (std::exception &exc) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + }; + + return 0; +} diff --git a/tests/hp/step-11/cmp/generic b/tests/hp/step-11/cmp/generic new file mode 100644 index 0000000000..4a28f6ccb5 --- /dev/null +++ b/tests/hp/step-11/cmp/generic @@ -0,0 +1,67 @@ + +DEAL::Using mapping with degree 1: +DEAL::============================ +DEAL:cg::Starting value 1.1 +DEAL:cg::Convergence step 7 value 0 +DEAL:cg::Starting value 0.98 +DEAL:cg::Convergence step 18 value 0 +DEAL:cg::Starting value 0.65 +DEAL:cg::Convergence step 29 value 0 +DEAL:cg::Starting value 0.37 +DEAL:cg::Convergence step 53 value 0 +DEAL:cg::Starting value 0.19 +DEAL:cg::Convergence step 108 value 0 +DEAL:cg::Starting value 0.10 +DEAL:cg::Convergence step 238 value 0 +cells |u|_1 error +5 0.680402 0.572912 +20 1.085518 0.167796 +80 1.208981 0.044334 +320 1.242041 0.011273 +1280 1.250482 0.002832 +5120 1.252605 0.000709 +DEAL:: +DEAL::Using mapping with degree 2: +DEAL::============================ +DEAL:cg::Starting value 1.338917 +DEAL:cg::Convergence step 7 value 0 +DEAL:cg::Starting value 1.028493 +DEAL:cg::Convergence step 17 value 0 +DEAL:cg::Starting value 0.654097 +DEAL:cg::Convergence step 29 value 0 +DEAL:cg::Starting value 0.368099 +DEAL:cg::Convergence step 53 value 0 +DEAL:cg::Starting value 0.194917 +DEAL:cg::Convergence step 108 value 0 +DEAL:cg::Starting value 0.100213 +DEAL:cg::Convergence step 238 value 0 +cells |u|_1 error +5 1.050963 0.202351 +20 1.199642 0.053672 +80 1.239913 0.013401 +320 1.249987 0.003327 +1280 1.252486 0.000828 +5120 1.253108 0.000206 +DEAL:: +DEAL::Using mapping with degree 3: +DEAL::============================ +DEAL:cg::Starting value 1.358459 +DEAL:cg::Convergence step 7 value 0 +DEAL:cg::Starting value 1.030204 +DEAL:cg::Convergence step 17 value 0 +DEAL:cg::Starting value 0.654234 +DEAL:cg::Convergence step 29 value 0 +DEAL:cg::Starting value 0.368109 +DEAL:cg::Convergence step 53 value 0 +DEAL:cg::Starting value 0.194918 +DEAL:cg::Convergence step 108 value 0 +DEAL:cg::Starting value 0.100213 +DEAL:cg::Convergence step 238 value 0 +cells |u|_1 error +5 1.086161 0.167153 +20 1.204349 0.048965 +80 1.240502 0.012812 +320 1.250059 0.003255 +1280 1.252495 0.000819 +5120 1.253109 0.000205 +DEAL:: diff --git a/tests/hp/step-12.cc b/tests/hp/step-12.cc new file mode 100644 index 0000000000..17e23789a9 --- /dev/null +++ b/tests/hp/step-12.cc @@ -0,0 +1,894 @@ +//---------------------------- step-12.cc --------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2005, 2006 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-12.cc --------------------------- + + +// a hp-ified version of step-12 + + +#include +#include +std::ofstream logfile("step-12/output"); + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include + +#include +#include + + +template +class RHS: public Function +{ + public: + virtual void value_list (const std::vector > &points, + std::vector &values, + const unsigned int component=0) const; +}; + + +template +class BoundaryValues: public Function +{ + public: + virtual void value_list (const std::vector > &points, + std::vector &values, + const unsigned int component=0) const; +}; + + +template +class Beta +{ + public: + Beta () {}; + void value_list (const std::vector > &points, + std::vector > &values) const; +}; + + +template +void RHS::value_list(const std::vector > &points, + std::vector &values, + const unsigned int) const +{ + Assert(values.size()==points.size(), + ExcDimensionMismatch(values.size(),points.size())); + + for (unsigned int i=0; i +void Beta::value_list(const std::vector > &points, + std::vector > &values) const +{ + Assert(values.size()==points.size(), + ExcDimensionMismatch(values.size(),points.size())); + + for (unsigned int i=0; i &p=points[i]; + Point &beta=values[i]; + + beta(0) = -p(1); + beta(1) = p(0); + beta /= std::sqrt(beta.square()); + } +} + + +template +void BoundaryValues::value_list(const std::vector > &points, + std::vector &values, + const unsigned int) const +{ + Assert(values.size()==points.size(), + ExcDimensionMismatch(values.size(),points.size())); + + for (unsigned int i=0; i +class DGTransportEquation +{ + public: + DGTransportEquation(); + + void assemble_cell_term(const FEValues& fe_v, + FullMatrix &ui_vi_matrix, + Vector &cell_vector) const; + + void assemble_boundary_term(const FEFaceValues& fe_v, + FullMatrix &ui_vi_matrix, + Vector &cell_vector) const; + + void assemble_face_term1(const FEFaceValuesBase& fe_v, + const FEFaceValuesBase& fe_v_neighbor, + FullMatrix &ui_vi_matrix, + FullMatrix &ue_vi_matrix) const; + + void assemble_face_term2(const FEFaceValuesBase& fe_v, + const FEFaceValuesBase& fe_v_neighbor, + FullMatrix &ui_vi_matrix, + FullMatrix &ue_vi_matrix, + FullMatrix &ui_ve_matrix, + FullMatrix &ue_ve_matrix) const; + private: + const Beta beta_function; + const RHS rhs_function; + const BoundaryValues boundary_function; +}; + + +template +DGTransportEquation::DGTransportEquation () + : + beta_function (), + rhs_function (), + boundary_function () +{} + + +template +void DGTransportEquation::assemble_cell_term( + const FEValues &fe_v, + FullMatrix &ui_vi_matrix, + Vector &cell_vector) const +{ + const std::vector &JxW = fe_v.get_JxW_values (); + + std::vector > beta (fe_v.n_quadrature_points); + std::vector rhs (fe_v.n_quadrature_points); + + beta_function.value_list (fe_v.get_quadrature_points(), beta); + rhs_function.value_list (fe_v.get_quadrature_points(), rhs); + + for (unsigned int point=0; point +void DGTransportEquation::assemble_boundary_term( + const FEFaceValues& fe_v, + FullMatrix &ui_vi_matrix, + Vector &cell_vector) const +{ + const std::vector &JxW = fe_v.get_JxW_values (); + const std::vector > &normals = fe_v.get_normal_vectors (); + + std::vector > beta (fe_v.n_quadrature_points); + std::vector g(fe_v.n_quadrature_points); + + beta_function.value_list (fe_v.get_quadrature_points(), beta); + boundary_function.value_list (fe_v.get_quadrature_points(), g); + + for (unsigned int point=0; point0) + for (unsigned int i=0; i +void DGTransportEquation::assemble_face_term1( + const FEFaceValuesBase& fe_v, + const FEFaceValuesBase& fe_v_neighbor, + FullMatrix &ui_vi_matrix, + FullMatrix &ue_vi_matrix) const +{ + const std::vector &JxW = fe_v.get_JxW_values (); + const std::vector > &normals = fe_v.get_normal_vectors (); + + std::vector > beta (fe_v.n_quadrature_points); + beta_function.value_list (fe_v.get_quadrature_points(), beta); + + for (unsigned int point=0; point0) + for (unsigned int i=0; i +void DGTransportEquation::assemble_face_term2( + const FEFaceValuesBase& fe_v, + const FEFaceValuesBase& fe_v_neighbor, + FullMatrix &ui_vi_matrix, + FullMatrix &ue_vi_matrix, + FullMatrix &ui_ve_matrix, + FullMatrix &ue_ve_matrix) const +{ + const std::vector &JxW = fe_v.get_JxW_values (); + const std::vector > &normals = fe_v.get_normal_vectors (); + + std::vector > beta (fe_v.n_quadrature_points); + + beta_function.value_list (fe_v.get_quadrature_points(), beta); + + for (unsigned int point=0; point0) + { + for (unsigned int i=0; i +class DGMethod +{ + public: + DGMethod (); + ~DGMethod (); + + void run (); + + private: + void setup_system (); + void assemble_system1 (); + void assemble_system2 (); + void solve (Vector &solution); + void refine_grid (); + void output_results (const unsigned int cycle) const; + + Triangulation triangulation; + const MappingQ1 mapping; + + FE_DGQ fe; + DoFHandler dof_handler; + + SparsityPattern sparsity_pattern; + SparseMatrix system_matrix; + + const QGauss quadrature; + const QGauss face_quadrature; + + Vector solution1; + Vector solution2; + Vector right_hand_side; + + const DGTransportEquation dg; +}; + + +template +DGMethod::DGMethod () + : + mapping (), + fe (1), + dof_handler (triangulation), + quadrature (4), + face_quadrature (4), + dg () +{} + + +template +DGMethod::~DGMethod () +{ + dof_handler.clear (); +} + + +template +void DGMethod::setup_system () +{ + dof_handler.distribute_dofs (fe); + + sparsity_pattern.reinit (dof_handler.n_dofs(), + dof_handler.n_dofs(), + (GeometryInfo::faces_per_cell + *GeometryInfo::subfaces_per_face+1)*fe.dofs_per_cell); + + DoFTools::make_flux_sparsity_pattern (dof_handler, sparsity_pattern); + + sparsity_pattern.compress(); + + system_matrix.reinit (sparsity_pattern); + + solution1.reinit (dof_handler.n_dofs()); + solution2.reinit (dof_handler.n_dofs()); + right_hand_side.reinit (dof_handler.n_dofs()); +} + + +template +void DGMethod::assemble_system1 () +{ + const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; + std::vector dofs (dofs_per_cell); + std::vector dofs_neighbor (dofs_per_cell); + + const UpdateFlags update_flags = update_values + | update_gradients + | update_q_points + | update_JxW_values; + + const UpdateFlags face_update_flags = update_values + | update_q_points + | update_JxW_values + | update_normal_vectors; + + const UpdateFlags neighbor_face_update_flags = update_values; + + FEValues fe_v ( + mapping, fe, quadrature, update_flags); + + FEFaceValues fe_v_face ( + mapping, fe, face_quadrature, face_update_flags); + FESubfaceValues fe_v_subface ( + mapping, fe, face_quadrature, face_update_flags); + FEFaceValues fe_v_face_neighbor ( + mapping, fe, face_quadrature, neighbor_face_update_flags); + FESubfaceValues fe_v_subface_neighbor ( + mapping, fe, face_quadrature, neighbor_face_update_flags); + + FullMatrix ui_vi_matrix (dofs_per_cell, dofs_per_cell); + FullMatrix ue_vi_matrix (dofs_per_cell, dofs_per_cell); + + Vector cell_vector (dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + + for (;cell!=endc; ++cell) + { + ui_vi_matrix = 0; + cell_vector = 0; + + fe_v.reinit (cell); + + dg.assemble_cell_term(fe_v, + ui_vi_matrix, + cell_vector); + + cell->get_dof_indices (dofs); + + for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) + { + typename DoFHandler::face_iterator face=cell->face(face_no); + + ue_vi_matrix = 0; + + if (face->at_boundary()) + { + fe_v_face.reinit (cell, face_no); + + dg.assemble_boundary_term(fe_v_face, + ui_vi_matrix, + cell_vector); + } + else + { + typename DoFHandler::cell_iterator neighbor= + cell->neighbor(face_no);; + + if (face->has_children()) + { + const unsigned int neighbor2= + cell->neighbor_of_neighbor(face_no); + + + for (unsigned int subface_no=0; + subface_non_children(); ++subface_no) + { + typename DoFHandler::active_cell_iterator + neighbor_child + = cell->neighbor_child_on_subface (face_no, subface_no); + + Assert (neighbor_child->face(neighbor2) == face->child(subface_no), + ExcInternalError()); + Assert (!neighbor_child->has_children(), ExcInternalError()); + + ue_vi_matrix = 0; + + fe_v_subface.reinit (cell, face_no, subface_no); + fe_v_face_neighbor.reinit (neighbor_child, neighbor2); + + dg.assemble_face_term1(fe_v_subface, + fe_v_face_neighbor, + ui_vi_matrix, + ue_vi_matrix); + + neighbor_child->get_dof_indices (dofs_neighbor); + + for (unsigned int i=0; ilevel() == cell->level()) + { + const unsigned int neighbor2=cell->neighbor_of_neighbor(face_no); + + fe_v_face.reinit (cell, face_no); + fe_v_face_neighbor.reinit (neighbor, neighbor2); + + dg.assemble_face_term1(fe_v_face, + fe_v_face_neighbor, + ui_vi_matrix, + ue_vi_matrix); + } + else + { + Assert(neighbor->level() < cell->level(), ExcInternalError()); + + const std::pair faceno_subfaceno= + cell->neighbor_of_coarser_neighbor(face_no); + const unsigned int neighbor_face_no=faceno_subfaceno.first, + neighbor_subface_no=faceno_subfaceno.second; + + Assert (neighbor->neighbor_child_on_subface (neighbor_face_no, + neighbor_subface_no) + == cell, + ExcInternalError()); + + fe_v_face.reinit (cell, face_no); + fe_v_subface_neighbor.reinit (neighbor, neighbor_face_no, + neighbor_subface_no); + + dg.assemble_face_term1(fe_v_face, + fe_v_subface_neighbor, + ui_vi_matrix, + ue_vi_matrix); + } + + neighbor->get_dof_indices (dofs_neighbor); + + for (unsigned int i=0; i +void DGMethod::assemble_system2 () +{ + const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; + std::vector dofs (dofs_per_cell); + std::vector dofs_neighbor (dofs_per_cell); + + const UpdateFlags update_flags = update_values + | update_gradients + | update_q_points + | update_JxW_values; + + const UpdateFlags face_update_flags = update_values + | update_q_points + | update_JxW_values + | update_normal_vectors; + + const UpdateFlags neighbor_face_update_flags = update_values; + + FEValues fe_v ( + mapping, fe, quadrature, update_flags); + FEFaceValues fe_v_face ( + mapping, fe, face_quadrature, face_update_flags); + FESubfaceValues fe_v_subface ( + mapping, fe, face_quadrature, face_update_flags); + FEFaceValues fe_v_face_neighbor ( + mapping, fe, face_quadrature, neighbor_face_update_flags); + + + FullMatrix ui_vi_matrix (dofs_per_cell, dofs_per_cell); + FullMatrix ue_vi_matrix (dofs_per_cell, dofs_per_cell); + + FullMatrix ui_ve_matrix (dofs_per_cell, dofs_per_cell); + FullMatrix ue_ve_matrix (dofs_per_cell, dofs_per_cell); + + Vector cell_vector (dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (;cell!=endc; ++cell) + { + ui_vi_matrix = 0; + cell_vector = 0; + + fe_v.reinit (cell); + + dg.assemble_cell_term(fe_v, + ui_vi_matrix, + cell_vector); + + cell->get_dof_indices (dofs); + + for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) + { + typename DoFHandler::face_iterator face= + cell->face(face_no); + + if (face->at_boundary()) + { + fe_v_face.reinit (cell, face_no); + + dg.assemble_boundary_term(fe_v_face, + ui_vi_matrix, + cell_vector); + } + else + { + Assert (cell->neighbor(face_no).state() == IteratorState::valid, + ExcInternalError()); + typename DoFHandler::cell_iterator neighbor= + cell->neighbor(face_no); + if (face->has_children()) + { + const unsigned int neighbor2= + cell->neighbor_of_neighbor(face_no); + + for (unsigned int subface_no=0; + subface_non_children(); ++subface_no) + { + typename DoFHandler::cell_iterator neighbor_child + = cell->neighbor_child_on_subface (face_no, subface_no); + Assert (neighbor_child->face(neighbor2) == face->child(subface_no), + ExcInternalError()); + Assert (!neighbor_child->has_children(), ExcInternalError()); + + ue_vi_matrix = 0; + ui_ve_matrix = 0; + ue_ve_matrix = 0; + + fe_v_subface.reinit (cell, face_no, subface_no); + fe_v_face_neighbor.reinit (neighbor_child, neighbor2); + + dg.assemble_face_term2(fe_v_subface, + fe_v_face_neighbor, + ui_vi_matrix, + ue_vi_matrix, + ui_ve_matrix, + ue_ve_matrix); + + neighbor_child->get_dof_indices (dofs_neighbor); + + for (unsigned int i=0; ilevel() == cell->level() && + neighbor->index() > cell->index()) + { + const unsigned int neighbor2=cell->neighbor_of_neighbor(face_no); + + ue_vi_matrix = 0; + ui_ve_matrix = 0; + ue_ve_matrix = 0; + + fe_v_face.reinit (cell, face_no); + fe_v_face_neighbor.reinit (neighbor, neighbor2); + + dg.assemble_face_term2(fe_v_face, + fe_v_face_neighbor, + ui_vi_matrix, + ue_vi_matrix, + ui_ve_matrix, + ue_ve_matrix); + + neighbor->get_dof_indices (dofs_neighbor); + + for (unsigned int i=0; i +void DGMethod::solve (Vector &solution) +{ + SolverControl solver_control (1000, 1e-12, false, false); + SolverRichardson<> solver (solver_control); + + PreconditionBlockSSOR > preconditioner; + + preconditioner.initialize(system_matrix, fe.dofs_per_cell); + + solver.solve (system_matrix, solution, right_hand_side, + preconditioner); +} + + +template +void DGMethod::refine_grid () +{ + Vector gradient_indicator (triangulation.n_active_cells()); + + DerivativeApproximation::approximate_gradient (mapping, + dof_handler, + solution2, + gradient_indicator); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (unsigned int cell_no=0; cell!=endc; ++cell, ++cell_no) + gradient_indicator(cell_no)*=std::pow(cell->diameter(), 1+1.0*dim/2); + + GridRefinement::refine_and_coarsen_fixed_number (triangulation, + gradient_indicator, + 0.3, 0.1); + + triangulation.execute_coarsening_and_refinement (); +} + + +template +void DGMethod::output_results (const unsigned int cycle) const +{ + std::string filename = "grid-"; + filename += ('0' + cycle); + Assert (cycle < 10, ExcInternalError()); + + filename += ".eps"; + deallog << "Writing grid to <" << filename << ">..." << std::endl; + + GridOut grid_out; + grid_out.write_eps (triangulation, deallog.get_file_stream()); + + filename = "sol-"; + filename += ('0' + cycle); + Assert (cycle < 10, ExcInternalError()); + + filename += ".gnuplot"; + deallog << "Writing solution to <" << filename << ">..." + << std::endl << std::endl; + + DataOut data_out; + data_out.attach_dof_handler (dof_handler); + data_out.add_data_vector (solution2, "u"); + + data_out.build_patches (); + + data_out.write_gnuplot(deallog.get_file_stream()); +} + + +template +void DGMethod::run () +{ + for (unsigned int cycle=0; cycle<6; ++cycle) + { + deallog << "Cycle " << cycle << ':' << std::endl; + + if (cycle == 0) + { + GridGenerator::hyper_cube (triangulation); + + triangulation.refine_global (3); + } + else + refine_grid (); + + + deallog << " Number of active cells: " + << triangulation.n_active_cells() + << std::endl; + + setup_system (); + + deallog << " Number of degrees of freedom: " + << dof_handler.n_dofs() + << std::endl; + + Timer assemble_timer; + assemble_system1 (); + deallog << "Time of assemble_system1: " + << assemble_timer() + << std::endl; + solve (solution1); + + system_matrix = 0; + right_hand_side = 0; + assemble_timer.reset(); + + assemble_timer.start(); + assemble_system2 (); + deallog << "Time of assemble_system2: " + << assemble_timer() + << std::endl; + solve (solution2); + + solution1-=solution2; + const double difference=solution1.linfty_norm(); + if (difference>1e-13) + deallog << "solution1 and solution2 differ!!" << std::endl; + else + deallog << "solution1 and solution2 coincide." << std::endl; + + output_results (cycle); + } +} + +int main () +{ + try + { + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + DGMethod<2> dgmethod; + dgmethod.run (); + } + catch (std::exception &exc) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + }; + + return 0; +} + + diff --git a/tests/hp/step-12/cmp/generic b/tests/hp/step-12/cmp/generic new file mode 100644 index 0000000000..c04bd6a175 --- /dev/null +++ b/tests/hp/step-12/cmp/generic @@ -0,0 +1,34028 @@ + +DEAL::Cycle 0: +DEAL:: Number of active cells: 64 +DEAL:: Number of degrees of freedom: 256 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Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-13.cc --------------------------- + + +// a hp-ified version of step-13 + + +#include +#include +std::ofstream logfile("step-13/output"); + + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + + + +namespace Evaluation +{ + + template + class EvaluationBase + { + public: + virtual ~EvaluationBase (); + + void set_refinement_cycle (const unsigned int refinement_cycle); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const = 0; + protected: + unsigned int refinement_cycle; + }; + + + template + EvaluationBase::~EvaluationBase () + {} + + + + template + void + EvaluationBase::set_refinement_cycle (const unsigned int step) + { + refinement_cycle = step; + } + + + + template + class PointValueEvaluation : public EvaluationBase + { + public: + PointValueEvaluation (const Point &evaluation_point, + TableHandler &results_table); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const; + + DeclException1 (ExcEvaluationPointNotFound, + Point, + << "The evaluation point " << arg1 + << " was not found among the vertices of the present grid."); + private: + const Point evaluation_point; + TableHandler &results_table; + }; + + + template + PointValueEvaluation:: + PointValueEvaluation (const Point &evaluation_point, + TableHandler &results_table) + : + evaluation_point (evaluation_point), + results_table (results_table) + {} + + + + template + void + PointValueEvaluation:: + operator () (const DoFHandler &dof_handler, + const Vector &solution) const + { + double point_value = 1e20; + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + bool evaluation_point_found = false; + for (; (cell!=endc) && !evaluation_point_found; ++cell) + for (unsigned int vertex=0; + vertex::vertices_per_cell; + ++vertex) + if (cell->vertex(vertex) == evaluation_point) + { + point_value = solution(cell->vertex_dof_index(vertex,0)); + + evaluation_point_found = true; + break; + }; + + AssertThrow (evaluation_point_found, + ExcEvaluationPointNotFound(evaluation_point)); + + results_table.add_value ("DoFs", dof_handler.n_dofs()); + results_table.add_value ("u(x_0)", point_value); + } + + + + + + template + class SolutionOutput : public EvaluationBase + { + public: + SolutionOutput (const std::string &output_name_base, + const typename DataOut::OutputFormat output_format); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const; + private: + const std::string output_name_base; + const typename DataOut::OutputFormat output_format; + }; + + + template + SolutionOutput:: + SolutionOutput (const std::string &output_name_base, + const typename DataOut::OutputFormat output_format) + : + output_name_base (output_name_base), + output_format (output_format) + {} + + + template + void + SolutionOutput::operator () (const DoFHandler &dof_handler, + const Vector &solution) const + { + DataOut data_out; + data_out.attach_dof_handler (dof_handler); + data_out.add_data_vector (solution, "solution"); + data_out.build_patches (); + + std::ostringstream filename; + filename << output_name_base << "-" + << this->refinement_cycle + << data_out.default_suffix (output_format) + << std::ends; + + data_out.write (deallog.get_file_stream(), output_format); + } + + + + +} + + + +namespace LaplaceSolver +{ + + template + class Base + { + public: + Base (Triangulation &coarse_grid); + virtual ~Base (); + + virtual void solve_problem () = 0; + virtual void postprocess (const Evaluation::EvaluationBase &postprocessor) const = 0; + virtual void refine_grid () = 0; + virtual unsigned int n_dofs () const = 0; + + protected: + const SmartPointer > triangulation; + }; + + + template + Base::Base (Triangulation &coarse_grid) + : + triangulation (&coarse_grid) + {} + + + template + Base::~Base () + {} + + + + template + class Solver : public virtual Base + { + public: + Solver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &boundary_values); + virtual + ~Solver (); + + virtual + void + solve_problem (); + + virtual + void + postprocess (const Evaluation::EvaluationBase &postprocessor) const; + + virtual + unsigned int + n_dofs () const; + + protected: + const SmartPointer > fe; + const SmartPointer > quadrature; + DoFHandler dof_handler; + Vector solution; + const SmartPointer > boundary_values; + + virtual void assemble_rhs (Vector &rhs) const = 0; + + private: + struct LinearSystem + { + LinearSystem (const DoFHandler &dof_handler); + + void solve (Vector &solution) const; + + ConstraintMatrix hanging_node_constraints; + SparsityPattern sparsity_pattern; + SparseMatrix matrix; + Vector rhs; + }; + + void + assemble_linear_system (LinearSystem &linear_system); + + void + assemble_matrix (LinearSystem &linear_system, + const typename DoFHandler::active_cell_iterator &begin_cell, + const typename DoFHandler::active_cell_iterator &end_cell, + Threads::ThreadMutex &mutex) const; + }; + + + + template + Solver::Solver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &boundary_values) + : + Base (triangulation), + fe (&fe), + quadrature (&quadrature), + dof_handler (triangulation), + boundary_values (&boundary_values) + {} + + + template + Solver::~Solver () + { + dof_handler.clear (); + } + + + template + void + Solver::solve_problem () + { + dof_handler.distribute_dofs (*fe); + solution.reinit (dof_handler.n_dofs()); + + LinearSystem linear_system (dof_handler); + assemble_linear_system (linear_system); + linear_system.solve (solution); + } + + + template + void + Solver:: + postprocess (const Evaluation::EvaluationBase &postprocessor) const + { + postprocessor (dof_handler, solution); + } + + + template + unsigned int + Solver::n_dofs () const + { + return dof_handler.n_dofs(); + } + + + template + void + Solver::assemble_linear_system (LinearSystem &linear_system) + { + typedef + typename DoFHandler::active_cell_iterator + active_cell_iterator; + + const unsigned int n_threads = multithread_info.n_default_threads; + std::vector > + thread_ranges + = Threads::split_range (dof_handler.begin_active (), + dof_handler.end (), + n_threads); + + Threads::ThreadMutex mutex; + Threads::ThreadGroup<> threads; + for (unsigned int thread=0; thread::assemble_matrix) + (linear_system, + thread_ranges[thread].first, + thread_ranges[thread].second, + mutex); + + assemble_rhs (linear_system.rhs); + linear_system.hanging_node_constraints.condense (linear_system.rhs); + + std::map boundary_value_map; + VectorTools::interpolate_boundary_values (dof_handler, + 0, + *boundary_values, + boundary_value_map); + + + threads.join_all (); + linear_system.hanging_node_constraints.condense (linear_system.matrix); + + MatrixTools::apply_boundary_values (boundary_value_map, + linear_system.matrix, + solution, + linear_system.rhs); + + } + + + template + void + Solver::assemble_matrix (LinearSystem &linear_system, + const typename DoFHandler::active_cell_iterator &begin_cell, + const typename DoFHandler::active_cell_iterator &end_cell, + Threads::ThreadMutex &mutex) const + { + FEValues fe_values (*fe, *quadrature, + update_gradients | update_JxW_values); + + const unsigned int dofs_per_cell = fe->dofs_per_cell; + const unsigned int n_q_points = quadrature->n_quadrature_points; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + + std::vector local_dof_indices (dofs_per_cell); + + for (typename DoFHandler::active_cell_iterator cell=begin_cell; + cell!=end_cell; ++cell) + { + cell_matrix = 0; + + fe_values.reinit (cell); + + for (unsigned int q_point=0; q_pointget_dof_indices (local_dof_indices); + + Threads::ThreadMutex::ScopedLock lock (mutex); + for (unsigned int i=0; i + Solver::LinearSystem:: + LinearSystem (const DoFHandler &dof_handler) + { + hanging_node_constraints.clear (); + + void (*mhnc_p) (const DoFHandler &, + ConstraintMatrix &) + = &DoFTools::make_hanging_node_constraints; + + Threads::Thread<> + mhnc_thread = Threads::spawn (mhnc_p)(dof_handler, + hanging_node_constraints); + + sparsity_pattern.reinit (dof_handler.n_dofs(), + dof_handler.n_dofs(), + dof_handler.max_couplings_between_dofs()); + DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern); + + mhnc_thread.join (); + hanging_node_constraints.close (); + hanging_node_constraints.condense (sparsity_pattern); + + sparsity_pattern.compress(); + matrix.reinit (sparsity_pattern); + rhs.reinit (dof_handler.n_dofs()); + } + + + + template + void + Solver::LinearSystem::solve (Vector &solution) const + { + SolverControl solver_control (1000, 1e-12); + SolverCG<> cg (solver_control); + + PreconditionSSOR<> preconditioner; + preconditioner.initialize(matrix, 1.2); + + cg.solve (matrix, solution, rhs, preconditioner); + + hanging_node_constraints.distribute (solution); + } + + + + + + template + class PrimalSolver : public Solver + { + public: + PrimalSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values); + protected: + const SmartPointer > rhs_function; + virtual void assemble_rhs (Vector &rhs) const; + }; + + + template + PrimalSolver:: + PrimalSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (triangulation), + Solver (triangulation, fe, + quadrature, boundary_values), + rhs_function (&rhs_function) + {} + + + + template + void + PrimalSolver:: + assemble_rhs (Vector &rhs) const + { + FEValues fe_values (*this->fe, *this->quadrature, + update_values | update_q_points | + update_JxW_values); + + const unsigned int dofs_per_cell = this->fe->dofs_per_cell; + const unsigned int n_q_points = this->quadrature->n_quadrature_points; + + Vector cell_rhs (dofs_per_cell); + std::vector rhs_values (n_q_points); + std::vector local_dof_indices (dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = this->dof_handler.begin_active(), + endc = this->dof_handler.end(); + for (; cell!=endc; ++cell) + { + cell_rhs = 0; + fe_values.reinit (cell); + rhs_function->value_list (fe_values.get_quadrature_points(), + rhs_values); + + for (unsigned int q_point=0; q_pointget_dof_indices (local_dof_indices); + for (unsigned int i=0; i + class RefinementGlobal : public PrimalSolver + { + public: + RefinementGlobal (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values); + + virtual void refine_grid (); + }; + + + + template + RefinementGlobal:: + RefinementGlobal (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, fe, quadrature, + rhs_function, boundary_values) + {} + + + + template + void + RefinementGlobal::refine_grid () + { + this->triangulation->refine_global (1); + } + + + + template + class RefinementKelly : public PrimalSolver + { + public: + RefinementKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values); + + virtual void refine_grid (); + }; + + + + template + RefinementKelly:: + RefinementKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, fe, quadrature, + rhs_function, boundary_values) + {} + + + + template + void + RefinementKelly::refine_grid () + { + Vector estimated_error_per_cell (this->triangulation->n_active_cells()); + KellyErrorEstimator::estimate (this->dof_handler, + QGauss(3), + typename FunctionMap::type(), + this->solution, + estimated_error_per_cell); + GridRefinement::refine_and_coarsen_fixed_number (*this->triangulation, + estimated_error_per_cell, + 0.3, 0.03); + this->triangulation->execute_coarsening_and_refinement (); + } + +} + + + + + +template +class Solution : public Function +{ + public: + Solution () : Function () {}; + + virtual double value (const Point &p, + const unsigned int component) const; +}; + + +template +double +Solution::value (const Point &p, + const unsigned int /*component*/) const +{ + double q = p(0); + for (unsigned int i=1; i +class RightHandSide : public Function +{ + public: + RightHandSide () : Function () {}; + + virtual double value (const Point &p, + const unsigned int component) const; +}; + + +template +double +RightHandSide::value (const Point &p, + const unsigned int /*component*/) const +{ + double q = p(0); + for (unsigned int i=1; i +void +run_simulation (LaplaceSolver::Base &solver, + const std::list *> &postprocessor_list) +{ + deallog << "Refinement cycle: "; + + for (unsigned int step=0; true; ++step) + { + deallog << step << " " << std::flush; + + solver.solve_problem (); + + for (typename std::list *>::const_iterator + i = postprocessor_list.begin(); + i != postprocessor_list.end(); ++i) + { + (*i)->set_refinement_cycle (step); + solver.postprocess (**i); + }; + + + if (solver.n_dofs() < 20000) + solver.refine_grid (); + else + break; + }; + + deallog << std::endl; +} + + + +template +void solve_problem (const std::string &solver_name) +{ + const std::string header = "Running tests with \"" + solver_name + + "\" refinement criterion:"; + deallog << header << std::endl + << std::string (header.size(), '-') << std::endl; + + Triangulation triangulation; + GridGenerator::hyper_cube (triangulation, -1, 1); + triangulation.refine_global (2); + const FE_Q fe(1); + const QGauss quadrature(4); + const RightHandSide rhs_function; + const Solution boundary_values; + + LaplaceSolver::Base * solver = 0; + if (solver_name == "global") + solver = new LaplaceSolver::RefinementGlobal (triangulation, fe, + quadrature, + rhs_function, + boundary_values); + else if (solver_name == "kelly") + solver = new LaplaceSolver::RefinementKelly (triangulation, fe, + quadrature, + rhs_function, + boundary_values); + else + AssertThrow (false, ExcNotImplemented()); + + TableHandler results_table; + Evaluation::PointValueEvaluation + postprocessor1 (Point(0.5,0.5), results_table); + + Evaluation::SolutionOutput + postprocessor2 (std::string("solution-")+solver_name, + DataOut::gnuplot); + + std::list *> postprocessor_list; + postprocessor_list.push_back (&postprocessor1); + postprocessor_list.push_back (&postprocessor2); + + run_simulation (*solver, postprocessor_list); + + results_table.write_text (deallog.get_file_stream()); + delete solver; + + deallog << std::endl; +} + + + +int main () +{ + try + { + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + solve_problem<2> ("global"); + solve_problem<2> ("kelly"); + } + catch (std::exception &exc) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + }; + + return 0; +} diff --git a/tests/hp/step-14.cc b/tests/hp/step-14.cc new file mode 100644 index 0000000000..725cb2cbe2 --- /dev/null +++ b/tests/hp/step-14.cc @@ -0,0 +1,2166 @@ +//---------------------------- step-14.cc --------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2005, 2006 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-14.cc --------------------------- + + +// a hp-ified version of step-14 + + +#include +#include +std::ofstream logfile("step-14/output"); + + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include + + +namespace Evaluation +{ + template + class EvaluationBase + { + public: + virtual ~EvaluationBase (); + + void set_refinement_cycle (const unsigned int refinement_cycle); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const = 0; + protected: + unsigned int refinement_cycle; + }; + + + template + EvaluationBase::~EvaluationBase () + {} + + + + template + void + EvaluationBase::set_refinement_cycle (const unsigned int step) + { + refinement_cycle = step; + } + + + template + class PointValueEvaluation : public EvaluationBase + { + public: + PointValueEvaluation (const Point &evaluation_point); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const; + + DeclException1 (ExcEvaluationPointNotFound, + Point, + << "The evaluation point " << arg1 + << " was not found among the vertices of the present grid."); + private: + const Point evaluation_point; + }; + + + template + PointValueEvaluation:: + PointValueEvaluation (const Point &evaluation_point) + : + evaluation_point (evaluation_point) + {} + + + + template + void + PointValueEvaluation:: + operator () (const DoFHandler &dof_handler, + const Vector &solution) const + { + double point_value = 1e20; + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + bool evaluation_point_found = false; + for (; (cell!=endc) && !evaluation_point_found; ++cell) + for (unsigned int vertex=0; + vertex::vertices_per_cell; + ++vertex) + if (cell->vertex(vertex).distance (evaluation_point) + < + cell->diameter() * 1e-8) + { + point_value = solution(cell->vertex_dof_index(vertex,0)); + + evaluation_point_found = true; + break; + }; + + AssertThrow (evaluation_point_found, + ExcEvaluationPointNotFound(evaluation_point)); + + deallog << " Point value=" << point_value + << std::endl; + } + + + + template + class PointXDerivativeEvaluation : public EvaluationBase + { + public: + PointXDerivativeEvaluation (const Point &evaluation_point); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const; + + DeclException1 (ExcEvaluationPointNotFound, + Point, + << "The evaluation point " << arg1 + << " was not found among the vertices of the present grid."); + private: + const Point evaluation_point; + }; + + + template + PointXDerivativeEvaluation:: + PointXDerivativeEvaluation (const Point &evaluation_point) + : + evaluation_point (evaluation_point) + {} + + + template + void + PointXDerivativeEvaluation:: + operator () (const DoFHandler &dof_handler, + const Vector &solution) const + { + double point_derivative = 0; + + QTrapez vertex_quadrature; + FEValues fe_values (dof_handler.get_fe(), + vertex_quadrature, + update_gradients | update_q_points); + std::vector > + solution_gradients (vertex_quadrature.n_quadrature_points); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + unsigned int evaluation_point_hits = 0; + for (; cell!=endc; ++cell) + for (unsigned int vertex=0; + vertex::vertices_per_cell; + ++vertex) + if (cell->vertex(vertex) == evaluation_point) + { + fe_values.reinit (cell); + fe_values.get_function_grads (solution, + solution_gradients); + + unsigned int q_point = 0; + for (; q_point 0, + ExcEvaluationPointNotFound(evaluation_point)); + + point_derivative /= evaluation_point_hits; + deallog << " Point x-derivative=" << point_derivative + << std::endl; + } + + + + + template + class GridOutput : public EvaluationBase + { + public: + GridOutput (const std::string &output_name_base); + + virtual void operator () (const DoFHandler &dof_handler, + const Vector &solution) const; + private: + const std::string output_name_base; + }; + + + template + GridOutput:: + GridOutput (const std::string &output_name_base) + : + output_name_base (output_name_base) + {} + + + template + void + GridOutput::operator () (const DoFHandler &dof_handler, + const Vector &/*solution*/) const + { + std::ostringstream filename; + filename << output_name_base << "-" + << this->refinement_cycle + << ".eps" + << std::ends; + + GridOut().write_eps (dof_handler.get_tria(), + deallog.get_file_stream()); + } +} + + + +namespace LaplaceSolver +{ + template class WeightedResidual; + + + + template + class Base + { + public: + Base (Triangulation &coarse_grid); + virtual ~Base (); + + virtual void solve_problem () = 0; + virtual void postprocess (const Evaluation::EvaluationBase &postprocessor) const = 0; + virtual void refine_grid () = 0; + virtual unsigned int n_dofs () const = 0; + + virtual void set_refinement_cycle (const unsigned int cycle); + + virtual void output_solution () const = 0; + + protected: + const SmartPointer > triangulation; + + unsigned int refinement_cycle; + }; + + + template + Base::Base (Triangulation &coarse_grid) + : + triangulation (&coarse_grid) + {} + + + template + Base::~Base () + {} + + + + template + void + Base::set_refinement_cycle (const unsigned int cycle) + { + refinement_cycle = cycle; + } + + + + template + class Solver : public virtual Base + { + public: + Solver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &boundary_values); + virtual + ~Solver (); + + virtual + void + solve_problem (); + + virtual + void + postprocess (const Evaluation::EvaluationBase &postprocessor) const; + + virtual + unsigned int + n_dofs () const; + + protected: + const SmartPointer > fe; + const SmartPointer > quadrature; + const SmartPointer > face_quadrature; + DoFHandler dof_handler; + Vector solution; + const SmartPointer > boundary_values; + + virtual void assemble_rhs (Vector &rhs) const = 0; + + private: + struct LinearSystem + { + LinearSystem (const DoFHandler &dof_handler); + + void solve (Vector &solution) const; + + ConstraintMatrix hanging_node_constraints; + SparsityPattern sparsity_pattern; + SparseMatrix matrix; + Vector rhs; + }; + + void + assemble_linear_system (LinearSystem &linear_system); + + void + assemble_matrix (LinearSystem &linear_system, + const typename DoFHandler::active_cell_iterator &begin_cell, + const typename DoFHandler::active_cell_iterator &end_cell, + Threads::ThreadMutex &mutex) const; + }; + + + + template + Solver::Solver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &boundary_values) + : + Base (triangulation), + fe (&fe), + quadrature (&quadrature), + face_quadrature (&face_quadrature), + dof_handler (triangulation), + boundary_values (&boundary_values) + {} + + + template + Solver::~Solver () + { + dof_handler.clear (); + } + + + template + void + Solver::solve_problem () + { + dof_handler.distribute_dofs (*fe); + solution.reinit (dof_handler.n_dofs()); + + LinearSystem linear_system (dof_handler); + assemble_linear_system (linear_system); + linear_system.solve (solution); + } + + + template + void + Solver:: + postprocess (const Evaluation::EvaluationBase &postprocessor) const + { + postprocessor (dof_handler, solution); + } + + + template + unsigned int + Solver::n_dofs () const + { + return dof_handler.n_dofs(); + } + + + template + void + Solver::assemble_linear_system (LinearSystem &linear_system) + { + typedef + typename DoFHandler::active_cell_iterator + active_cell_iterator; + + const unsigned int n_threads = multithread_info.n_default_threads; + std::vector > + thread_ranges + = Threads::split_range (dof_handler.begin_active (), + dof_handler.end (), + n_threads); + + Threads::ThreadMutex mutex; + Threads::ThreadGroup<> threads; + for (unsigned int thread=0; thread::assemble_matrix) + (linear_system, + thread_ranges[thread].first, + thread_ranges[thread].second, + mutex); + + assemble_rhs (linear_system.rhs); + linear_system.hanging_node_constraints.condense (linear_system.rhs); + + std::map boundary_value_map; + VectorTools::interpolate_boundary_values (dof_handler, + 0, + *boundary_values, + boundary_value_map); + + threads.join_all (); + linear_system.hanging_node_constraints.condense (linear_system.matrix); + + MatrixTools::apply_boundary_values (boundary_value_map, + linear_system.matrix, + solution, + linear_system.rhs); + } + + + template + void + Solver::assemble_matrix (LinearSystem &linear_system, + const typename DoFHandler::active_cell_iterator &begin_cell, + const typename DoFHandler::active_cell_iterator &end_cell, + Threads::ThreadMutex &mutex) const + { + FEValues fe_values (*fe, *quadrature, + update_gradients | update_JxW_values); + + const unsigned int dofs_per_cell = fe->dofs_per_cell; + const unsigned int n_q_points = quadrature->n_quadrature_points; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + + std::vector local_dof_indices (dofs_per_cell); + + for (typename DoFHandler::active_cell_iterator cell=begin_cell; + cell!=end_cell; ++cell) + { + cell_matrix = 0; + + fe_values.reinit (cell); + + for (unsigned int q_point=0; q_pointget_dof_indices (local_dof_indices); + Threads::ThreadMutex::ScopedLock lock (mutex); + for (unsigned int i=0; i + Solver::LinearSystem:: + LinearSystem (const DoFHandler &dof_handler) + { + hanging_node_constraints.clear (); + + void (*mhnc_p) (const DoFHandler &, + ConstraintMatrix &) + = &DoFTools::make_hanging_node_constraints; + + Threads::Thread<> + mhnc_thread = Threads::spawn (mhnc_p)(dof_handler, hanging_node_constraints); + + sparsity_pattern.reinit (dof_handler.n_dofs(), + dof_handler.n_dofs(), + dof_handler.max_couplings_between_dofs()); + DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern); + + mhnc_thread.join (); + hanging_node_constraints.close (); + hanging_node_constraints.condense (sparsity_pattern); + + sparsity_pattern.compress(); + matrix.reinit (sparsity_pattern); + rhs.reinit (dof_handler.n_dofs()); + } + + + + template + void + Solver::LinearSystem::solve (Vector &solution) const + { + SolverControl solver_control (5000, 1e-12); + SolverCG<> cg (solver_control); + + PreconditionSSOR<> preconditioner; + preconditioner.initialize(matrix, 1.2); + + cg.solve (matrix, solution, rhs, preconditioner); + + hanging_node_constraints.distribute (solution); + } + + + + + + template + class PrimalSolver : public Solver + { + public: + PrimalSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values); + + virtual + void solve_problem (); + + virtual + unsigned int n_dofs () const; + + virtual + void postprocess (const Evaluation::EvaluationBase &postprocessor) const; + + virtual + void output_solution () const; + + protected: + const SmartPointer > rhs_function; + virtual void assemble_rhs (Vector &rhs) const; + + friend class WeightedResidual; + }; + + + template + PrimalSolver:: + PrimalSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (triangulation), + Solver (triangulation, fe, + quadrature, face_quadrature, + boundary_values), + rhs_function (&rhs_function) + {} + + + template + void + PrimalSolver::solve_problem () + { + Solver::solve_problem (); + } + + + + template + unsigned int + PrimalSolver::n_dofs() const + { + return Solver::n_dofs(); + } + + + template + void + PrimalSolver:: + postprocess (const Evaluation::EvaluationBase &postprocessor) const + { + Solver::postprocess(postprocessor); + } + + + template + void + PrimalSolver::output_solution () const + { + DataOut data_out; + data_out.attach_dof_handler (this->dof_handler); + data_out.add_data_vector (this->solution, "solution"); + data_out.build_patches (); + + std::ostringstream filename; + filename << "solution-" + << this->refinement_cycle + << ".gnuplot" + << std::ends; + data_out.write (deallog.get_file_stream(), DataOut::gnuplot); + } + + + + template + void + PrimalSolver:: + assemble_rhs (Vector &rhs) const + { + FEValues fe_values (*this->fe, *this->quadrature, + update_values | update_q_points | + update_JxW_values); + + const unsigned int dofs_per_cell = this->fe->dofs_per_cell; + const unsigned int n_q_points = this->quadrature->n_quadrature_points; + + Vector cell_rhs (dofs_per_cell); + std::vector rhs_values (n_q_points); + std::vector local_dof_indices (dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = this->dof_handler.begin_active(), + endc = this->dof_handler.end(); + for (; cell!=endc; ++cell) + { + cell_rhs = 0; + + fe_values.reinit (cell); + + rhs_function->value_list (fe_values.get_quadrature_points(), + rhs_values); + + for (unsigned int q_point=0; q_pointget_dof_indices (local_dof_indices); + for (unsigned int i=0; i + class RefinementGlobal : public PrimalSolver + { + public: + RefinementGlobal (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values); + + virtual void refine_grid (); + }; + + + + template + RefinementGlobal:: + RefinementGlobal (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, fe, quadrature, + face_quadrature, rhs_function, + boundary_values) + {} + + + + template + void + RefinementGlobal::refine_grid () + { + this->triangulation->refine_global (1); + } + + + + template + class RefinementKelly : public PrimalSolver + { + public: + RefinementKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values); + + virtual void refine_grid (); + }; + + + + template + RefinementKelly:: + RefinementKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, fe, quadrature, + face_quadrature, + rhs_function, boundary_values) + {} + + + + template + void + RefinementKelly::refine_grid () + { + Vector estimated_error_per_cell (this->triangulation->n_active_cells()); + KellyErrorEstimator::estimate (this->dof_handler, + QGauss(3), + typename FunctionMap::type(), + this->solution, + estimated_error_per_cell); + GridRefinement::refine_and_coarsen_fixed_number (*this->triangulation, + estimated_error_per_cell, + 0.3, 0.03); + this->triangulation->execute_coarsening_and_refinement (); + } + + + + + template + class RefinementWeightedKelly : public PrimalSolver + { + public: + RefinementWeightedKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values, + const Function &weighting_function); + + virtual void refine_grid (); + + private: + const SmartPointer > weighting_function; + }; + + + + template + RefinementWeightedKelly:: + RefinementWeightedKelly (Triangulation &coarse_grid, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values, + const Function &weighting_function) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, fe, quadrature, + face_quadrature, + rhs_function, boundary_values), + weighting_function (&weighting_function) + {} + + + + template + void + RefinementWeightedKelly::refine_grid () + { + Vector estimated_error (this->triangulation->n_active_cells()); + KellyErrorEstimator::estimate (this->dof_handler, + *this->face_quadrature, + typename FunctionMap::type(), + this->solution, + estimated_error); + + typename DoFHandler::active_cell_iterator + cell = this->dof_handler.begin_active(), + endc = this->dof_handler.end(); + for (unsigned int cell_index=0; cell!=endc; ++cell, ++cell_index) + estimated_error(cell_index) + *= weighting_function->value (cell->center()); + + GridRefinement::refine_and_coarsen_fixed_number (*this->triangulation, + estimated_error, + 0.3, 0.03); + this->triangulation->execute_coarsening_and_refinement (); + } + +} + + +namespace Data +{ + + template + struct SetUpBase : public Subscriptor + { + virtual + const Function & get_boundary_values () const = 0; + + virtual + const Function & get_right_hand_side () const = 0; + + virtual + void create_coarse_grid (Triangulation &coarse_grid) const = 0; + }; + + + template + struct SetUp : public SetUpBase + { + SetUp () {}; + + virtual + const Function & get_boundary_values () const; + + virtual + const Function & get_right_hand_side () const; + + + virtual + void create_coarse_grid (Triangulation &coarse_grid) const; + + private: + static const typename Traits::BoundaryValues boundary_values; + static const typename Traits::RightHandSide right_hand_side; + }; + + template + const typename Traits::BoundaryValues SetUp::boundary_values; + template + const typename Traits::RightHandSide SetUp::right_hand_side; + + template + const Function & + SetUp::get_boundary_values () const + { + return boundary_values; + } + + + template + const Function & + SetUp::get_right_hand_side () const + { + return right_hand_side; + } + + + template + void + SetUp:: + create_coarse_grid (Triangulation &coarse_grid) const + { + Traits::create_coarse_grid (coarse_grid); + } + + + + template + struct CurvedRidges + { + class BoundaryValues : public Function + { + public: + BoundaryValues () : Function () {}; + + virtual double value (const Point &p, + const unsigned int component) const; + }; + + + class RightHandSide : public Function + { + public: + RightHandSide () : Function () {}; + + virtual double value (const Point &p, + const unsigned int component) const; + }; + + static + void + create_coarse_grid (Triangulation &coarse_grid); + }; + + + template + double + CurvedRidges::BoundaryValues:: + value (const Point &p, + const unsigned int /*component*/) const + { + double q = p(0); + for (unsigned int i=1; i + double + CurvedRidges::RightHandSide::value (const Point &p, + const unsigned int /*component*/) const + { + double q = p(0); + for (unsigned int i=1; i + void + CurvedRidges:: + create_coarse_grid (Triangulation &coarse_grid) + { + GridGenerator::hyper_cube (coarse_grid, -1, 1); + coarse_grid.refine_global (2); + } + + + + template + struct Exercise_2_3 + { + typedef ZeroFunction BoundaryValues; + + class RightHandSide : public ConstantFunction + { + public: + RightHandSide () : ConstantFunction (1.) {}; + }; + + static + void + create_coarse_grid (Triangulation &coarse_grid); + }; + + + template <> + void + Exercise_2_3<2>:: + create_coarse_grid (Triangulation<2> &coarse_grid) + { + const unsigned int dim = 2; + + static const Point<2> vertices_1[] + = { Point<2> (-1., -1.), + Point<2> (-1./2, -1.), + Point<2> (0., -1.), + Point<2> (+1./2, -1.), + Point<2> (+1, -1.), + + Point<2> (-1., -1./2.), + Point<2> (-1./2, -1./2.), + Point<2> (0., -1./2.), + Point<2> (+1./2, -1./2.), + Point<2> (+1, -1./2.), + + Point<2> (-1., 0.), + Point<2> (-1./2, 0.), + Point<2> (+1./2, 0.), + Point<2> (+1, 0.), + + Point<2> (-1., 1./2.), + Point<2> (-1./2, 1./2.), + Point<2> (0., 1./2.), + Point<2> (+1./2, 1./2.), + Point<2> (+1, 1./2.), + + Point<2> (-1., 1.), + Point<2> (-1./2, 1.), + Point<2> (0., 1.), + Point<2> (+1./2, 1.), + Point<2> (+1, 1.) }; + const unsigned int + n_vertices = sizeof(vertices_1) / sizeof(vertices_1[0]); + + const std::vector > vertices (&vertices_1[0], + &vertices_1[n_vertices]); + + static const int cell_vertices[][GeometryInfo::vertices_per_cell] + = {{0, 1, 5, 6}, + {1, 2, 6, 7}, + {2, 3, 7, 8}, + {3, 4, 8, 9}, + {5, 6, 10, 11}, + {8, 9, 12, 13}, + {10, 11, 14, 15}, + {12, 13, 17, 18}, + {14, 15, 19, 20}, + {15, 16, 20, 21}, + {16, 17, 21, 22}, + {17, 18, 22, 23}}; + const unsigned int + n_cells = sizeof(cell_vertices) / sizeof(cell_vertices[0]); + + std::vector > cells (n_cells, CellData()); + for (unsigned int i=0; i::vertices_per_cell; + ++j) + cells[i].vertices[j] = cell_vertices[i][j]; + cells[i].material_id = 0; + }; + + coarse_grid.create_triangulation (vertices, + cells, + SubCellData()); + + coarse_grid.refine_global (1); + } +} + + + + +namespace DualFunctional +{ + + template + class DualFunctionalBase : public Subscriptor + { + public: + virtual + void + assemble_rhs (const DoFHandler &dof_handler, + Vector &rhs) const = 0; + }; + + + + template + class PointValueEvaluation : public DualFunctionalBase + { + public: + PointValueEvaluation (const Point &evaluation_point); + + virtual + void + assemble_rhs (const DoFHandler &dof_handler, + Vector &rhs) const; + + DeclException1 (ExcEvaluationPointNotFound, + Point, + << "The evaluation point " << arg1 + << " was not found among the vertices of the present grid."); + + protected: + const Point evaluation_point; + }; + + + template + PointValueEvaluation:: + PointValueEvaluation (const Point &evaluation_point) + : + evaluation_point (evaluation_point) + {} + + + template + void + PointValueEvaluation:: + assemble_rhs (const DoFHandler &dof_handler, + Vector &rhs) const + { + rhs.reinit (dof_handler.n_dofs()); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (; cell!=endc; ++cell) + for (unsigned int vertex=0; + vertex::vertices_per_cell; + ++vertex) + if (cell->vertex(vertex).distance(evaluation_point) + < cell->diameter()*1e-8) + { + rhs(cell->vertex_dof_index(vertex,0)) = 1; + return; + }; + + AssertThrow (false, ExcEvaluationPointNotFound(evaluation_point)); + } + + + + template + class PointXDerivativeEvaluation : public DualFunctionalBase + { + public: + PointXDerivativeEvaluation (const Point &evaluation_point); + + virtual + void + assemble_rhs (const DoFHandler &dof_handler, + Vector &rhs) const; + + DeclException1 (ExcEvaluationPointNotFound, + Point, + << "The evaluation point " << arg1 + << " was not found among the vertices of the present grid."); + + protected: + const Point evaluation_point; + }; + + + template + PointXDerivativeEvaluation:: + PointXDerivativeEvaluation (const Point &evaluation_point) + : + evaluation_point (evaluation_point) + {} + + + template + void + PointXDerivativeEvaluation:: + assemble_rhs (const DoFHandler &dof_handler, + Vector &rhs) const + { + rhs.reinit (dof_handler.n_dofs()); + + QGauss quadrature(4); + FEValues fe_values (dof_handler.get_fe(), quadrature, + update_gradients | + update_q_points | + update_JxW_values); + const unsigned int n_q_points = fe_values.n_quadrature_points; + const unsigned int dofs_per_cell = dof_handler.get_fe().dofs_per_cell; + + Vector cell_rhs (dofs_per_cell); + std::vector local_dof_indices (dofs_per_cell); + + double total_volume = 0; + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (; cell!=endc; ++cell) + if (cell->center().distance(evaluation_point) <= + cell->diameter()) + { + fe_values.reinit (cell); + cell_rhs = 0; + + for (unsigned int q=0; qget_dof_indices (local_dof_indices); + for (unsigned int i=0; i 0, + ExcEvaluationPointNotFound(evaluation_point)); + + rhs.scale (1./total_volume); + } + + +} + + +namespace LaplaceSolver +{ + + + template + class DualSolver : public Solver + { + public: + DualSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const DualFunctional::DualFunctionalBase &dual_functional); + + virtual + void + solve_problem (); + + virtual + unsigned int + n_dofs () const; + + virtual + void + postprocess (const Evaluation::EvaluationBase &postprocessor) const; + + protected: + const SmartPointer > dual_functional; + virtual void assemble_rhs (Vector &rhs) const; + + static const ZeroFunction boundary_values; + + friend class WeightedResidual; + }; + + template + const ZeroFunction DualSolver::boundary_values; + + template + DualSolver:: + DualSolver (Triangulation &triangulation, + const FiniteElement &fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const DualFunctional::DualFunctionalBase &dual_functional) + : + Base (triangulation), + Solver (triangulation, fe, + quadrature, face_quadrature, + boundary_values), + dual_functional (&dual_functional) + {} + + + template + void + DualSolver::solve_problem () + { + Solver::solve_problem (); + } + + + + template + unsigned int + DualSolver::n_dofs() const + { + return Solver::n_dofs(); + } + + + template + void + DualSolver:: + postprocess (const Evaluation::EvaluationBase &postprocessor) const + { + Solver::postprocess(postprocessor); + } + + + + template + void + DualSolver:: + assemble_rhs (Vector &rhs) const + { + dual_functional->assemble_rhs (this->dof_handler, rhs); + } + + + + template + class WeightedResidual : public PrimalSolver, + public DualSolver + { + public: + WeightedResidual (Triangulation &coarse_grid, + const FiniteElement &primal_fe, + const FiniteElement &dual_fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &boundary_values, + const DualFunctional::DualFunctionalBase &dual_functional); + + virtual + void + solve_problem (); + + virtual + void + postprocess (const Evaluation::EvaluationBase &postprocessor) const; + + virtual + unsigned int + n_dofs () const; + + virtual void refine_grid (); + + virtual + void + output_solution () const; + + private: + void solve_primal_problem (); + void solve_dual_problem (); + + typedef + typename DoFHandler::active_cell_iterator + active_cell_iterator; + + typedef + typename std::map::face_iterator,double> + FaceIntegrals; + + struct CellData + { + FEValues fe_values; + const SmartPointer > right_hand_side; + + std::vector cell_residual; + std::vector rhs_values; + std::vector dual_weights; + typename std::vector > cell_grad_grads; + CellData (const FiniteElement &fe, + const Quadrature &quadrature, + const Function &right_hand_side); + }; + + struct FaceData + { + FEFaceValues fe_face_values_cell; + FEFaceValues fe_face_values_neighbor; + FESubfaceValues fe_subface_values_cell; + + std::vector jump_residual; + std::vector dual_weights; + typename std::vector > cell_grads; + typename std::vector > neighbor_grads; + FaceData (const FiniteElement &fe, + const Quadrature &face_quadrature); + }; + + + + void estimate_error (Vector &error_indicators) const; + + void estimate_some (const Vector &primal_solution, + const Vector &dual_weights, + const unsigned int n_threads, + const unsigned int this_thread, + Vector &error_indicators, + FaceIntegrals &face_integrals) const; + + void + integrate_over_cell (const active_cell_iterator &cell, + const unsigned int cell_index, + const Vector &primal_solution, + const Vector &dual_weights, + CellData &cell_data, + Vector &error_indicators) const; + + void + integrate_over_regular_face (const active_cell_iterator &cell, + const unsigned int face_no, + const Vector &primal_solution, + const Vector &dual_weights, + FaceData &face_data, + FaceIntegrals &face_integrals) const; + void + integrate_over_irregular_face (const active_cell_iterator &cell, + const unsigned int face_no, + const Vector &primal_solution, + const Vector &dual_weights, + FaceData &face_data, + FaceIntegrals &face_integrals) const; + }; + + + + template + WeightedResidual::CellData:: + CellData (const FiniteElement &fe, + const Quadrature &quadrature, + const Function &right_hand_side) + : + fe_values (fe, quadrature, + update_values | + update_second_derivatives | + update_q_points | + update_JxW_values), + right_hand_side (&right_hand_side) + { + const unsigned int n_q_points + = quadrature.n_quadrature_points; + + cell_residual.resize(n_q_points); + rhs_values.resize(n_q_points); + dual_weights.resize(n_q_points); + cell_grad_grads.resize(n_q_points); + } + + + + template + WeightedResidual::FaceData:: + FaceData (const FiniteElement &fe, + const Quadrature &face_quadrature) + : + fe_face_values_cell (fe, face_quadrature, + update_values | + update_gradients | + update_JxW_values | + update_normal_vectors), + fe_face_values_neighbor (fe, face_quadrature, + update_values | + update_gradients | + update_JxW_values | + update_normal_vectors), + fe_subface_values_cell (fe, face_quadrature, + update_gradients) + { + const unsigned int n_face_q_points + = face_quadrature.n_quadrature_points; + + jump_residual.resize(n_face_q_points); + dual_weights.resize(n_face_q_points); + cell_grads.resize(n_face_q_points); + neighbor_grads.resize(n_face_q_points); + } + + + + + template + WeightedResidual:: + WeightedResidual (Triangulation &coarse_grid, + const FiniteElement &primal_fe, + const FiniteElement &dual_fe, + const Quadrature &quadrature, + const Quadrature &face_quadrature, + const Function &rhs_function, + const Function &bv, + const DualFunctional::DualFunctionalBase &dual_functional) + : + Base (coarse_grid), + PrimalSolver (coarse_grid, primal_fe, + quadrature, face_quadrature, + rhs_function, bv), + DualSolver (coarse_grid, dual_fe, + quadrature, face_quadrature, + dual_functional) + {} + + + template + void + WeightedResidual::solve_problem () + { + Threads::ThreadGroup<> threads; + threads += Threads::spawn (*this, &WeightedResidual::solve_primal_problem)(); + threads += Threads::spawn (*this, &WeightedResidual::solve_dual_problem)(); + threads.join_all (); + } + + + template + void + WeightedResidual::solve_primal_problem () + { + PrimalSolver::solve_problem (); + } + + template + void + WeightedResidual::solve_dual_problem () + { + DualSolver::solve_problem (); + } + + + template + void + WeightedResidual:: + postprocess (const Evaluation::EvaluationBase &postprocessor) const + { + PrimalSolver::postprocess (postprocessor); + } + + + template + unsigned int + WeightedResidual::n_dofs () const + { + return PrimalSolver::n_dofs(); + } + + + + template + void + WeightedResidual::refine_grid () + { + Vector error_indicators (this->triangulation->n_active_cells()); + estimate_error (error_indicators); + + for (Vector::iterator i=error_indicators.begin(); + i != error_indicators.end(); ++i) + *i = std::fabs (*i); + + GridRefinement::refine_and_coarsen_fixed_fraction (*this->triangulation, + error_indicators, + 0.8, 0.02); + this->triangulation->execute_coarsening_and_refinement (); + } + + + template + void + WeightedResidual::output_solution () const + { + const PrimalSolver &primal_solver = *this; + const DualSolver &dual_solver = *this; + + ConstraintMatrix primal_hanging_node_constraints; + DoFTools::make_hanging_node_constraints (primal_solver.dof_handler, + primal_hanging_node_constraints); + primal_hanging_node_constraints.close(); + Vector dual_solution (primal_solver.dof_handler.n_dofs()); + FETools::interpolate (dual_solver.dof_handler, + dual_solver.solution, + primal_solver.dof_handler, + primal_hanging_node_constraints, + dual_solution); + + DataOut data_out; + data_out.attach_dof_handler (primal_solver.dof_handler); + + data_out.add_data_vector (primal_solver.solution, + "primal_solution"); + data_out.add_data_vector (dual_solution, + "dual_solution"); + + data_out.build_patches (); + + std::ostringstream filename; + filename << "solution-" + << this->refinement_cycle + << ".gnuplot" + << std::ends; + data_out.write (deallog.get_file_stream(), DataOut::gnuplot); + } + + + + + template + void + WeightedResidual:: + estimate_error (Vector &error_indicators) const + { + const PrimalSolver &primal_solver = *this; + const DualSolver &dual_solver = *this; + + ConstraintMatrix dual_hanging_node_constraints; + DoFTools::make_hanging_node_constraints (dual_solver.dof_handler, + dual_hanging_node_constraints); + dual_hanging_node_constraints.close(); + Vector primal_solution (dual_solver.dof_handler.n_dofs()); + FETools::interpolate (primal_solver.dof_handler, + primal_solver.solution, + dual_solver.dof_handler, + dual_hanging_node_constraints, + primal_solution); + + ConstraintMatrix primal_hanging_node_constraints; + DoFTools::make_hanging_node_constraints (primal_solver.dof_handler, + primal_hanging_node_constraints); + primal_hanging_node_constraints.close(); + Vector dual_weights (dual_solver.dof_handler.n_dofs()); + FETools::interpolation_difference (dual_solver.dof_handler, + dual_hanging_node_constraints, + dual_solver.solution, + primal_solver.dof_handler, + primal_hanging_node_constraints, + dual_weights); + + + FaceIntegrals face_integrals; + for (active_cell_iterator cell=dual_solver.dof_handler.begin_active(); + cell!=dual_solver.dof_handler.end(); + ++cell) + for (unsigned int face_no=0; + face_no::faces_per_cell; + ++face_no) + face_integrals[cell->face(face_no)] = -1e20; + + error_indicators.reinit (dual_solver.dof_handler + .get_tria().n_active_cells()); + + const unsigned int n_threads = multithread_info.n_default_threads; + Threads::ThreadGroup<> threads; + for (unsigned int i=0; i::estimate_some) + (primal_solution, + dual_weights, + n_threads, i, + error_indicators, + face_integrals); + threads.join_all(); + + unsigned int present_cell=0; + for (active_cell_iterator cell=dual_solver.dof_handler.begin_active(); + cell!=dual_solver.dof_handler.end(); + ++cell, ++present_cell) + for (unsigned int face_no=0; face_no::faces_per_cell; + ++face_no) + { + Assert(face_integrals.find(cell->face(face_no)) != + face_integrals.end(), + ExcInternalError()); + error_indicators(present_cell) + -= 0.5*face_integrals[cell->face(face_no)]; + }; + deallog << " Estimated error=" + << std::accumulate (error_indicators.begin(), + error_indicators.end(), 0.) + << std::endl; + } + + + + template + void + WeightedResidual:: + estimate_some (const Vector &primal_solution, + const Vector &dual_weights, + const unsigned int n_threads, + const unsigned int this_thread, + Vector &error_indicators, + FaceIntegrals &face_integrals) const + { + const PrimalSolver &primal_solver = *this; + const DualSolver &dual_solver = *this; + + CellData cell_data (*dual_solver.fe, + *dual_solver.quadrature, + *primal_solver.rhs_function); + FaceData face_data (*dual_solver.fe, + *dual_solver.face_quadrature); + + active_cell_iterator cell=dual_solver.dof_handler.begin_active(); + for (unsigned int t=0; + (t::faces_per_cell; + ++face_no) + { + if (cell->face(face_no)->at_boundary()) + { + face_integrals[cell->face(face_no)] = 0; + continue; + }; + + if ((cell->neighbor(face_no)->has_children() == false) && + (cell->neighbor(face_no)->level() == cell->level()) && + (cell->neighbor(face_no)->index() < cell->index())) + continue; + + if (cell->at_boundary(face_no) == false) + if (cell->neighbor(face_no)->level() < cell->level()) + continue; + + + if (cell->face(face_no)->has_children() == false) + integrate_over_regular_face (cell, face_no, + primal_solution, + dual_weights, + face_data, + face_integrals); + else + integrate_over_irregular_face (cell, face_no, + primal_solution, + dual_weights, + face_data, + face_integrals); + }; + + for (unsigned int t=0; + ((t + void WeightedResidual:: + integrate_over_cell (const active_cell_iterator &cell, + const unsigned int cell_index, + const Vector &primal_solution, + const Vector &dual_weights, + CellData &cell_data, + Vector &error_indicators) const + { + cell_data.fe_values.reinit (cell); + cell_data.right_hand_side + ->value_list (cell_data.fe_values.get_quadrature_points(), + cell_data.rhs_values); + cell_data.fe_values.get_function_2nd_derivatives (primal_solution, + cell_data.cell_grad_grads); + + cell_data.fe_values.get_function_values (dual_weights, + cell_data.dual_weights); + + double sum = 0; + for (unsigned int p=0; p + void WeightedResidual:: + integrate_over_regular_face (const active_cell_iterator &cell, + const unsigned int face_no, + const Vector &primal_solution, + const Vector &dual_weights, + FaceData &face_data, + FaceIntegrals &face_integrals) const + { + const unsigned int + n_q_points = face_data.fe_face_values_cell.n_quadrature_points; + + face_data.fe_face_values_cell.reinit (cell, face_no); + face_data.fe_face_values_cell.get_function_grads (primal_solution, + face_data.cell_grads); + + Assert (cell->neighbor(face_no).state() == IteratorState::valid, + ExcInternalError()); + const unsigned int + neighbor_neighbor = cell->neighbor_of_neighbor (face_no); + const active_cell_iterator neighbor = cell->neighbor(face_no); + face_data.fe_face_values_neighbor.reinit (neighbor, neighbor_neighbor); + face_data.fe_face_values_neighbor.get_function_grads (primal_solution, + face_data.neighbor_grads); + + for (unsigned int p=0; pface(face_no)) != face_integrals.end(), + ExcInternalError()); + Assert (face_integrals[cell->face(face_no)] == -1e20, + ExcInternalError()); + + face_integrals[cell->face(face_no)] = face_integral; + } + + + + template + void WeightedResidual:: + integrate_over_irregular_face (const active_cell_iterator &cell, + const unsigned int face_no, + const Vector &primal_solution, + const Vector &dual_weights, + FaceData &face_data, + FaceIntegrals &face_integrals) const + { + const unsigned int + n_q_points = face_data.fe_face_values_cell.n_quadrature_points; + + const typename DoFHandler::face_iterator + face = cell->face(face_no); + const typename DoFHandler::cell_iterator + neighbor = cell->neighbor(face_no); + Assert (neighbor.state() == IteratorState::valid, + ExcInternalError()); + Assert (neighbor->has_children(), + ExcInternalError()); + + const unsigned int + neighbor_neighbor = cell->neighbor_of_neighbor (face_no); + + for (unsigned int subface_no=0; + subface_non_children(); ++subface_no) + { + const active_cell_iterator neighbor_child + = cell->neighbor_child_on_subface (face_no, subface_no); + Assert (neighbor_child->face(neighbor_neighbor) == + cell->face(face_no)->child(subface_no), + ExcInternalError()); + + face_data.fe_subface_values_cell.reinit (cell, face_no, subface_no); + face_data.fe_subface_values_cell.get_function_grads (primal_solution, + face_data.cell_grads); + face_data.fe_face_values_neighbor.reinit (neighbor_child, + neighbor_neighbor); + face_data.fe_face_values_neighbor.get_function_grads (primal_solution, + face_data.neighbor_grads); + + for (unsigned int p=0; pface(neighbor_neighbor)] + = face_integral; + }; + + double sum = 0; + for (unsigned int subface_no=0; + subface_non_children(); ++subface_no) + { + Assert (face_integrals.find(face->child(subface_no)) != + face_integrals.end(), + ExcInternalError()); + Assert (face_integrals[face->child(subface_no)] != -1e20, + ExcInternalError()); + + sum += face_integrals[face->child(subface_no)]; + }; + face_integrals[face] = sum; + } + +} + + + +template +struct Framework +{ + public: + typedef Evaluation::EvaluationBase Evaluator; + typedef std::list EvaluatorList; + + + struct ProblemDescription + { + unsigned int primal_fe_degree; + unsigned int dual_fe_degree; + + SmartPointer > data; + + enum RefinementCriterion { + dual_weighted_error_estimator, + global_refinement, + kelly_indicator, + weighted_kelly_indicator + }; + + RefinementCriterion refinement_criterion; + + SmartPointer > dual_functional; + + EvaluatorList evaluator_list; + + SmartPointer > kelly_weight; + + unsigned int max_degrees_of_freedom; + + ProblemDescription (); + }; + + static void run (const ProblemDescription &descriptor); +}; + + +template +Framework::ProblemDescription::ProblemDescription () + : + primal_fe_degree (1), + dual_fe_degree (2), + refinement_criterion (dual_weighted_error_estimator), + max_degrees_of_freedom (5000) +{} + + + +template +void Framework::run (const ProblemDescription &descriptor) +{ + Triangulation + triangulation (Triangulation::smoothing_on_refinement); + descriptor.data->create_coarse_grid (triangulation); + + const FE_Q primal_fe(descriptor.primal_fe_degree); + const FE_Q dual_fe(descriptor.dual_fe_degree); + const QGauss quadrature(descriptor.dual_fe_degree+1); + const QGauss face_quadrature(descriptor.dual_fe_degree+1); + + LaplaceSolver::Base * solver = 0; + switch (descriptor.refinement_criterion) + { + case ProblemDescription::dual_weighted_error_estimator: + { + solver + = new LaplaceSolver::WeightedResidual (triangulation, + primal_fe, + dual_fe, + quadrature, + face_quadrature, + descriptor.data->get_right_hand_side(), + descriptor.data->get_boundary_values(), + *descriptor.dual_functional); + break; + }; + + case ProblemDescription::global_refinement: + { + solver + = new LaplaceSolver::RefinementGlobal (triangulation, + primal_fe, + quadrature, + face_quadrature, + descriptor.data->get_right_hand_side(), + descriptor.data->get_boundary_values()); + break; + }; + + case ProblemDescription::kelly_indicator: + { + solver + = new LaplaceSolver::RefinementKelly (triangulation, + primal_fe, + quadrature, + face_quadrature, + descriptor.data->get_right_hand_side(), + descriptor.data->get_boundary_values()); + break; + }; + + case ProblemDescription::weighted_kelly_indicator: + { + solver + = new LaplaceSolver::RefinementWeightedKelly (triangulation, + primal_fe, + quadrature, + face_quadrature, + descriptor.data->get_right_hand_side(), + descriptor.data->get_boundary_values(), + *descriptor.kelly_weight); + break; + }; + + default: + AssertThrow (false, ExcInternalError()); + }; + + for (unsigned int step=0; true; ++step) + { + deallog << "Refinement cycle: " << step + << std::endl; + + solver->set_refinement_cycle (step); + solver->solve_problem (); + solver->output_solution (); + + deallog << " Number of degrees of freedom=" + << solver->n_dofs() << std::endl; + + for (typename EvaluatorList::const_iterator + e = descriptor.evaluator_list.begin(); + e != descriptor.evaluator_list.end(); ++e) + { + (*e)->set_refinement_cycle (step); + solver->postprocess (**e); + }; + + + if (solver->n_dofs() < descriptor.max_degrees_of_freedom) + solver->refine_grid (); + else + break; + }; + + deallog << std::endl; + delete solver; + solver = 0; +} + + + + + +int main () +{ + deallog.depth_console (0); + try + { + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + const unsigned int dim = 2; + Framework::ProblemDescription descriptor; + + descriptor.refinement_criterion + = Framework::ProblemDescription::dual_weighted_error_estimator; + + descriptor.primal_fe_degree = 1; + descriptor.dual_fe_degree = 2; + + descriptor.data = new Data::SetUp,dim> (); + + const Point evaluation_point (0.75, 0.75); + descriptor.dual_functional + = new DualFunctional::PointValueEvaluation (evaluation_point); + + Evaluation::PointValueEvaluation + postprocessor1 (evaluation_point); + Evaluation::GridOutput + postprocessor2 ("grid"); + + descriptor.evaluator_list.push_back (&postprocessor1); + descriptor.evaluator_list.push_back (&postprocessor2); + + descriptor.max_degrees_of_freedom = 20000; + + Framework::run (descriptor); + } + + catch (std::exception &exc) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + }; + + return 0; +} diff --git a/tests/hp/step-15.cc b/tests/hp/step-15.cc new file mode 100644 index 0000000000..ec7b7457f5 --- /dev/null +++ b/tests/hp/step-15.cc @@ -0,0 +1,627 @@ +//---------------------------- step-15.cc --------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2005, 2006 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-15.cc --------------------------- + + +// a hp-ified version of step-15 + + +#include +#include +std::ofstream logfile("step-15/output"); + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include +#include + + +template +inline +double gradient_power (const Tensor<1,dim> &v, + const unsigned int n) +{ + Assert ((n/2)*2 == n, ExcMessage ("Value of 'n' must be even")); + double p = 1; + for (unsigned int k=0; k +{ + public: + InitializationValues () : Function<1>() {}; + + virtual double value (const Point<1> &p, + const unsigned int component = 0) const; +}; + + + +double InitializationValues::value (const Point<1> &p, + const unsigned int) const +{ + const double base = std::pow(p(0), 1./3.); + const double random = 2.*rand()/RAND_MAX-1; + return std::max (base+.1*random, 0.); +} + + + +template +class MinimizationProblem +{ + public: + MinimizationProblem (const unsigned int run_number); + void run (); + + private: + void initialize_solution (); + void setup_system_on_mesh (); + void assemble_step (); + double line_search (const Vector & update) const; + void do_step (); + void output_results () const; + void refine_grid (); + + static double energy (const DoFHandler &dof_handler, + const Vector &function); + + + const unsigned int run_number; + + Triangulation triangulation; + + FE_Q fe; + DoFHandler dof_handler; + + ConstraintMatrix hanging_node_constraints; + + SparsityPattern sparsity_pattern; + SparseMatrix matrix; + + Vector present_solution; + Vector residual; +}; + + + +template +MinimizationProblem::MinimizationProblem (const unsigned int run_number) + : + run_number (run_number), + fe (1), + dof_handler (triangulation) +{} + + +template <> +void MinimizationProblem<1>::initialize_solution () +{ + present_solution.reinit (dof_handler.n_dofs()); + VectorTools::interpolate (dof_handler, + InitializationValues(), + present_solution); + + DoFHandler<1>::cell_iterator cell; + cell = dof_handler.begin(0); + while (cell->at_boundary(0) == false) + cell = cell->neighbor(0); + while (cell->has_children() == true) + cell = cell->child(0); + present_solution(cell->vertex_dof_index(0,0)) = 0; + + cell = dof_handler.begin(0); + while (cell->at_boundary(1) == false) + cell = cell->neighbor(1); + while (cell->has_children()) + cell = cell->child(1); + present_solution(cell->vertex_dof_index(1,0)) = 1; +} + + +template +void MinimizationProblem::setup_system_on_mesh () +{ + hanging_node_constraints.clear (); + DoFTools::make_hanging_node_constraints (dof_handler, + hanging_node_constraints); + hanging_node_constraints.close (); + + sparsity_pattern.reinit (dof_handler.n_dofs(), + dof_handler.n_dofs(), + dof_handler.max_couplings_between_dofs()); + DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern); + + hanging_node_constraints.condense (sparsity_pattern); + + sparsity_pattern.compress(); +} + + + +template +void MinimizationProblem::assemble_step () +{ + matrix.reinit (sparsity_pattern); + residual.reinit (dof_handler.n_dofs()); + + QGauss quadrature_formula(4); + FEValues fe_values (fe, quadrature_formula, + update_values | update_gradients | + update_q_points | update_JxW_values); + + const unsigned int dofs_per_cell = fe.dofs_per_cell; + const unsigned int n_q_points = quadrature_formula.n_quadrature_points; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + Vector cell_rhs (dofs_per_cell); + + std::vector local_dof_indices (dofs_per_cell); + + std::vector local_solution_values (n_q_points); + std::vector > local_solution_grads (n_q_points); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (; cell!=endc; ++cell) + { + cell_matrix = 0; + cell_rhs = 0; + + fe_values.reinit (cell); + + fe_values.get_function_values (present_solution, + local_solution_values); + fe_values.get_function_grads (present_solution, + local_solution_grads); + + for (unsigned int q_point=0; q_point u_prime = local_solution_grads[q_point]; + + for (unsigned int i=0; idiameter() * + cell->diameter() + + + fe_values.shape_value(i,q_point) * + fe_values.shape_value(j,q_point)) * + fe_values.JxW(q_point); + + for (unsigned int i=0; iget_dof_indices (local_dof_indices); + for (unsigned int i=0; i boundary_values; + VectorTools::interpolate_boundary_values (dof_handler, + 0, + ZeroFunction(), + boundary_values); + if (dim == 1) + VectorTools::interpolate_boundary_values (dof_handler, + 1, + ZeroFunction(), + boundary_values); + Vector dummy (residual.size()); + MatrixTools::apply_boundary_values (boundary_values, + matrix, + dummy, + residual); +} + + +template +double +MinimizationProblem::line_search (const Vector &update) const +{ + double alpha = 0.; + Vector tmp (present_solution.size()); + + for (unsigned int step=0; step<5; ++step) + { + tmp = present_solution; + tmp.add (alpha, update); + const double f_a = energy (dof_handler, tmp); + + const double dalpha = (alpha != 0 ? alpha/100 : 0.01); + + tmp = present_solution; + tmp.add (alpha+dalpha, update); + const double f_a_plus = energy (dof_handler, tmp); + + tmp = present_solution; + tmp.add (alpha-dalpha, update); + const double f_a_minus = energy (dof_handler, tmp); + + const double f_a_prime = (f_a_plus-f_a_minus) / (2*dalpha); + const double f_a_doubleprime = ((f_a_plus-2*f_a+f_a_minus) / + (dalpha*dalpha)); + + if (std::fabs(f_a_prime) < 1e-7*std::fabs(f_a)) + break; + + if (std::fabs(f_a_doubleprime) < 1e-7*std::fabs(f_a_prime)) + break; + + double step_length = -f_a_prime / f_a_doubleprime; + + for (unsigned int i=0; i<3; ++i) + { + tmp = present_solution; + tmp.add (alpha+step_length, update); + const double e = energy (dof_handler, tmp); + + if (e >= f_a) + step_length /= 2; + else + break; + } + + alpha += step_length; + } + + return alpha; +} + + + +template +void MinimizationProblem::do_step () +{ + assemble_step (); + + Vector update (present_solution.size()); + { + SolverControl solver_control (residual.size(), + 1e-2*residual.l2_norm()); + SolverCG<> solver (solver_control); + + PreconditionSSOR<> preconditioner; + preconditioner.initialize(matrix); + + solver.solve (matrix, update, residual, + preconditioner); + hanging_node_constraints.distribute (update); + } + + const double step_length = line_search (update); + present_solution.add (step_length, update); +} + + + +template +void +MinimizationProblem::output_results () const +{ + DataOut data_out; + data_out.attach_dof_handler (dof_handler); + data_out.add_data_vector (present_solution, "solution"); + data_out.build_patches (); + + std::ostringstream filename; + filename << "solution-" + << run_number + << ".gnuplot" + << std::ends; + + data_out.write_gnuplot (deallog.get_file_stream()); +} + + + +template <> +void MinimizationProblem<1>::refine_grid () +{ + const unsigned int dim = 1; + + Vector error_indicators (triangulation.n_active_cells()); + + QTrapez quadrature; + FEValues fe_values (fe, quadrature, + update_values | update_gradients | + update_second_derivatives | + update_q_points | update_JxW_values); + + FEValues neighbor_fe_values (fe, quadrature, + update_gradients); + + std::vector local_values (quadrature.n_quadrature_points); + std::vector > local_gradients (quadrature.n_quadrature_points); + std::vector > local_2nd_derivs (quadrature.n_quadrature_points); + + DoFHandler::active_cell_iterator + cell = dof_handler.begin_active (), + endc = dof_handler.end (); + for (unsigned int cell_index = 0; cell!=endc; ++cell, ++cell_index) + { + fe_values.reinit (cell); + fe_values.get_function_values (present_solution, local_values); + fe_values.get_function_grads (present_solution, local_gradients); + fe_values.get_function_2nd_derivatives (present_solution, local_2nd_derivs); + + double cell_residual_norm = 0; + for (unsigned int q=0; qdiameter() * cell->diameter(); + + const double x_left = fe_values.quadrature_point(0)[0]; + const double x_right = fe_values.quadrature_point(1)[0]; + + Assert (x_left == cell->vertex(0)[0], ExcInternalError()); + Assert (x_right == cell->vertex(1)[0], ExcInternalError()); + + const double u_left = local_values[0]; + const double u_right = local_values[1]; + + const double u_prime_left = local_gradients[0][0]; + const double u_prime_right = local_gradients[1][0]; + + if (cell->at_boundary(0) == false) + { + DoFHandler::cell_iterator left_neighbor = cell->neighbor(0); + while (left_neighbor->has_children()) + left_neighbor = left_neighbor->child(1); + + neighbor_fe_values.reinit (left_neighbor); + neighbor_fe_values.get_function_grads (present_solution, local_gradients); + + const double neighbor_u_prime_left = local_gradients[1][0]; + + const double left_jump = std::pow(x_left-std::pow(u_left,3), 2) * + (std::pow(neighbor_u_prime_left,5) - + std::pow(u_prime_left,5)); + error_indicators(cell_index) += left_jump * left_jump * + cell->diameter(); + } + + if (cell->at_boundary(1) == false) + { + DoFHandler::cell_iterator right_neighbor = cell->neighbor(1); + while (right_neighbor->has_children()) + right_neighbor = right_neighbor->child(0); + + neighbor_fe_values.reinit (right_neighbor); + neighbor_fe_values.get_function_grads (present_solution, local_gradients); + + const double neighbor_u_prime_right = local_gradients[0][0]; + + const double right_jump = std::pow(x_right-std::pow(u_right,3), 2) * + (std::pow(neighbor_u_prime_right,5) - + std::pow(u_prime_right,5)); + error_indicators(cell_index) += right_jump * right_jump * + cell->diameter(); + } + } + + GridRefinement::refine_and_coarsen_fixed_number (triangulation, + error_indicators, + 0.3, 0.03); + triangulation.prepare_coarsening_and_refinement(); + + SolutionTransfer solution_transfer(dof_handler); + solution_transfer.prepare_for_coarsening_and_refinement (present_solution); + + triangulation.execute_coarsening_and_refinement (); + dof_handler.distribute_dofs (fe); + + Vector tmp (dof_handler.n_dofs()); + solution_transfer.interpolate (present_solution, tmp); + present_solution = tmp; + + hanging_node_constraints.clear (); + DoFTools::make_hanging_node_constraints (dof_handler, + hanging_node_constraints); + hanging_node_constraints.close (); + hanging_node_constraints.distribute (present_solution); +} + + + +template +double +MinimizationProblem::energy (const DoFHandler &dof_handler, + const Vector &function) +{ + QGauss quadrature_formula(4); + FEValues fe_values (dof_handler.get_fe(), quadrature_formula, + update_values | update_gradients | + update_q_points | update_JxW_values); + + const unsigned int n_q_points = quadrature_formula.n_quadrature_points; + + std::vector local_solution_values (n_q_points); + std::vector > local_solution_grads (n_q_points); + + double energy = 0.; + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + for (; cell!=endc; ++cell) + { + fe_values.reinit (cell); + fe_values.get_function_values (function, + local_solution_values); + fe_values.get_function_grads (function, + local_solution_grads); + + for (unsigned int q_point=0; q_point +void MinimizationProblem::run () +{ + GridGenerator::hyper_cube (triangulation, 0., 1.); + triangulation.refine_global (4); + dof_handler.distribute_dofs (fe); + initialize_solution (); + + double last_energy = energy (dof_handler, present_solution); + + while (true) + { + setup_system_on_mesh (); + + for (unsigned int iteration=0; iteration<5; ++iteration) + do_step (); + + const double this_energy = energy (dof_handler, present_solution); + deallog << " Energy: " << this_energy << std::endl; + + if ((last_energy-this_energy) < 1e-5*last_energy) + break; + + last_energy = this_energy; + + refine_grid (); + } + + output_results (); + + deallog << std::endl; +} + + +int main () +{ + try + { + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + const unsigned int n_realizations = 10; + for (unsigned int realization=0; realization minimization_problem_1d (realization); + minimization_problem_1d.run (); + } + } + catch (std::exception &exc) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + return 0; +} diff --git a/tests/hp/step-15/cmp/generic b/tests/hp/step-15/cmp/generic new file mode 100644 index 0000000000..3039d14381 --- /dev/null +++ b/tests/hp/step-15/cmp/generic @@ -0,0 +1,3957 @@ + +DEAL::Realization 0: +DEAL:cg::Starting value 61. +DEAL:cg::Convergence step 2 value 0.23 +DEAL:cg::Starting value 4.0 +DEAL:cg::Convergence step 2 value 0.018 +DEAL:cg::Starting value 1.7 +DEAL:cg::Convergence step 2 value 0.0028 +DEAL:cg::Starting value 0.70 +DEAL:cg::Convergence step 2 value 0.0032 +DEAL:cg::Starting value 4.1 +DEAL:cg::Convergence step 2 value 0.0058 +DEAL:: Energy: 0.36 +DEAL:cg::Starting value 4.9 +DEAL:cg::Convergence step 2 value 0.026 +DEAL:cg::Starting value 1.9 +DEAL:cg::Convergence step 2 value 0.015 +DEAL:cg::Starting value 2.4 +DEAL:cg::Convergence step 2 value 0.016 +DEAL:cg::Starting value 1.3 +DEAL:cg::Convergence step 3 value 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is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- step-16.cc --------------------------- + + +// a hp-ified version of step-16 + + +#include +#include +std::ofstream logfile("step-16/output"); + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + +#include +#include +#include + +#include +#include + + +template +class LaplaceProblem +{ + public: + LaplaceProblem (); + void run (); + + private: + void setup_system (); + void assemble_system (); + void assemble_multigrid (); + void solve (); + void output_results (const unsigned int cycle) const; + + Triangulation triangulation; + FE_Q fe; + MGDoFHandler mg_dof_handler; + + SparsityPattern sparsity_pattern; + SparseMatrix system_matrix; + + MGLevelObject mg_sparsity; + MGLevelObject > mg_matrices; + + Vector solution; + Vector system_rhs; +}; + + +template +LaplaceProblem::LaplaceProblem () : + fe (1), + mg_dof_handler (triangulation) +{} + + + +template +void LaplaceProblem::setup_system () +{ + mg_dof_handler.distribute_dofs (fe); + + deallog << " Number of degrees of freedom: " + << mg_dof_handler.n_dofs() + << std::endl; + + sparsity_pattern.reinit (mg_dof_handler.n_dofs(), + mg_dof_handler.n_dofs(), + mg_dof_handler.max_couplings_between_dofs()); + DoFTools::make_sparsity_pattern (static_cast&>(mg_dof_handler), + sparsity_pattern); + sparsity_pattern.compress(); + + system_matrix.reinit (sparsity_pattern); + + solution.reinit (mg_dof_handler.n_dofs()); + system_rhs.reinit (mg_dof_handler.n_dofs()); + + const unsigned int nlevels = triangulation.n_levels(); + mg_matrices.resize(0, nlevels-1); + mg_sparsity.resize(0, nlevels-1); + + for (unsigned int level=0;level +void LaplaceProblem::assemble_system () +{ + QGauss quadrature_formula(2); + + FEValues fe_values (fe, quadrature_formula, + update_values | update_gradients | + update_q_points | update_JxW_values); + + const unsigned int dofs_per_cell = fe.dofs_per_cell; + const unsigned int n_q_points = quadrature_formula.n_quadrature_points; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + Vector cell_rhs (dofs_per_cell); + + std::vector local_dof_indices (dofs_per_cell); + + typename DoFHandler::active_cell_iterator cell = mg_dof_handler.begin_active(), + endc = mg_dof_handler.end(); + for (; cell!=endc; ++cell) + { + cell_matrix = 0; + cell_rhs = 0; + + fe_values.reinit (cell); + + for (unsigned int q_point=0; q_pointget_dof_indices (local_dof_indices); + for (unsigned int i=0; i +void LaplaceProblem::assemble_multigrid () +{ + QGauss quadrature_formula(2); + + FEValues fe_values (fe, quadrature_formula, + update_values | update_gradients | + update_q_points | update_JxW_values); + + const unsigned int dofs_per_cell = fe.dofs_per_cell; + const unsigned int n_q_points = quadrature_formula.n_quadrature_points; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + + std::vector local_dof_indices (dofs_per_cell); + + typename MGDoFHandler::cell_iterator cell = mg_dof_handler.begin(), + endc = mg_dof_handler.end(); + for (; cell!=endc; ++cell) + { + const unsigned int level = cell->level(); + cell_matrix = 0; + + fe_values.reinit (cell); + + for (unsigned int q_point=0; q_pointget_mg_dof_indices (local_dof_indices); + for (unsigned int i=0; i +void LaplaceProblem::solve () +{ + GrowingVectorMemory<> vector_memory; + + MGTransferPrebuilt > mg_transfer; + mg_transfer.build_matrices(mg_dof_handler); + + FullMatrix coarse_matrix; + coarse_matrix.copy_from (mg_matrices[0]); + MGCoarseGridHouseholder > mg_coarse; + mg_coarse.initialize(coarse_matrix); + + typedef PreconditionSOR > RELAXATION; + MGSmootherRelaxation, RELAXATION, Vector > + mg_smoother(vector_memory); + + RELAXATION::AdditionalData smoother_data; + mg_smoother.initialize(mg_matrices, smoother_data); + + mg_smoother.set_steps(2); + mg_smoother.set_symmetric(true); + + MGMatrix, Vector > + mg_matrix(&mg_matrices); + Multigrid > mg(mg_dof_handler, + mg_matrix, + mg_coarse, + mg_transfer, + mg_smoother, + mg_smoother); + PreconditionMG, + MGTransferPrebuilt > > + preconditioner(mg_dof_handler, mg, mg_transfer); + + SolverControl solver_control (1000, 1e-12); + SolverCG<> cg (solver_control); + + + cg.solve (system_matrix, solution, system_rhs, + preconditioner); + + deallog << " " << solver_control.last_step() + << " CG iterations needed to obtain convergence." + << std::endl; +} + + + +template +void LaplaceProblem::output_results (const unsigned int cycle) const +{ + DataOut data_out; + + data_out.attach_dof_handler (mg_dof_handler); + data_out.add_data_vector (solution, "solution"); + data_out.build_patches (); + + std::ostringstream filename; + filename << "solution-" + << cycle + << ".gnuplot"; + + data_out.write_gnuplot (deallog.get_file_stream()); +} + + + +template +void LaplaceProblem::run () +{ + for (unsigned int cycle=0; cycle<6; ++cycle) + { + deallog << "Cycle " << cycle << ':' << std::endl; + + if (cycle == 0) + { + GridGenerator::hyper_cube(triangulation); + + } + else + triangulation.refine_global (1); + + deallog << " Number of active cells: " + << triangulation.n_active_cells() + << std::endl + << " Total number of cells: " + << triangulation.n_cells() + << std::endl; + + setup_system (); + assemble_system (); + assemble_multigrid (); + solve (); + output_results (cycle); + }; +} + + + +int main () +{ + deallog.depth_console (0); + logfile.precision(2); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + LaplaceProblem<2> laplace_problem_2d; + laplace_problem_2d.run (); + + return 0; +} diff --git a/tests/hp/step-16/cmp/generic b/tests/hp/step-16/cmp/generic new file mode 100644 index 0000000000..62f1ebcffc --- /dev/null +++ b/tests/hp/step-16/cmp/generic @@ -0,0 +1,9652 @@ + +DEAL::Cycle 0: +DEAL:: Number of active cells: 1 +DEAL:: Total number of cells: 1 +DEAL:: Number of degrees of freedom: 4 +DEAL:cg::Starting value 0.50 +DEAL:cg::Convergence step 2 value 0 +DEAL:: 2 CG iterations needed to obtain convergence. +DEAL::GrowingVectorMemory:Overall allocated vectors: 0 +DEAL::GrowingVectorMemory:Maximum allocated vectors: 0 +# This file was generated by the deal.II library. + + +# +# For a description of the GNUPLOT format see the GNUPLOT manual. +# +# +0.0 0.0 1.0 +1.0 0.0 1.0 + +0.0 1.0 1.0 +1.0 1.0 1.0 + + +DEAL::Cycle 1: +DEAL:: Number of active cells: 4 +DEAL:: Total number of cells: 5 +DEAL:: Number of degrees of freedom: 9 +DEAL:cg::Starting value 0.38 +DEAL:cg::Convergence step 5 value 0 +DEAL:: 5 CG iterations needed to obtain convergence. +DEAL::GrowingVectorMemory:Overall allocated vectors: 20 +DEAL::GrowingVectorMemory:Maximum allocated vectors: 2 +# This file was generated by the deal.II library. + + +# +# For a description of the GNUPLOT format see the GNUPLOT manual. +# +# +0.0 0.0 1.0 +0.50 0.0 1.0 + +0.0 0.50 1.0 +0.50 0.50 1.0 + + +0.50 0.0 1.0 +1.0 0.0 1.0 + +0.50 0.50 1.0 +1.0 0.50 1.0 + + +0.0 0.50 1.0 +0.50 0.50 1.0 + +0.0 1.0 1.0 +0.50 1.0 1.0 + + +0.50 0.50 1.0 +1.0 0.50 1.0 + +0.50 1.0 1.0 +1.0 1.0 1.0 + + +DEAL::Cycle 2: +DEAL:: Number of active cells: 16 +DEAL:: Total number of cells: 21 +DEAL:: Number of degrees of freedom: 25 +DEAL:cg::Starting value 0.22 +DEAL:cg::Convergence step 6 value 0 +DEAL:: 6 CG iterations needed to obtain convergence. +DEAL::GrowingVectorMemory:Overall allocated vectors: 48 +DEAL::GrowingVectorMemory:Maximum allocated vectors: 2 +# This file was generated by the deal.II library. + + +# +# For a description of the GNUPLOT format see the GNUPLOT manual. +# +# +0.0 0.0 1.0 +0.25 0.0 1.0 + +0.0 0.25 1.0 +0.25 0.25 1.0 + + +0.25 0.0 1.0 +0.50 0.0 1.0 + +0.25 0.25 1.0 +0.50 0.25 1.0 + + +0.0 0.25 1.0 +0.25 0.25 1.0 + +0.0 0.50 1.0 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value 0.12 +DEAL:cg::Convergence step 7 value 0 +DEAL:: 7 CG iterations needed to obtain convergence. +DEAL::GrowingVectorMemory:Overall allocated vectors: 84 +DEAL::GrowingVectorMemory:Maximum allocated vectors: 2 +# This file was generated by the deal.II library. + + +# +# For a description of the GNUPLOT format see the GNUPLOT manual. +# +# +0.0 0.0 1.0 +0.12 0.0 1.0 + +0.0 0.12 1.0 +0.12 0.12 1.0 + + +0.12 0.0 1.0 +0.25 0.0 1.0 + +0.12 0.12 1.0 +0.25 0.12 1.0 + + +0.0 0.12 1.0 +0.12 0.12 1.0 + +0.0 0.25 1.0 +0.12 0.25 1.0 + + +0.12 0.12 1.0 +0.25 0.12 1.0 + +0.12 0.25 1.0 +0.25 0.25 1.0 + + +0.25 0.0 1.0 +0.38 0.0 1.0 + +0.25 0.12 1.0 +0.38 0.12 1.0 + + +0.38 0.0 1.0 +0.50 0.0 1.0 + +0.38 0.12 1.0 +0.50 0.12 1.0 + + +0.25 0.12 1.0 +0.38 0.12 1.0 + +0.25 0.25 1.0 +0.38 0.25 1.0 + + +0.38 0.12 1.0 +0.50 0.12 1.0 + +0.38 0.25 1.0 +0.50 0.25 1.0 + + +0.0 0.25 1.0 +0.12 0.25 1.0 + +0.0 0.38 1.0 +0.12 0.38 1.0 + + +0.12 0.25 1.0 +0.25 0.25 1.0 + +0.12 0.38 1.0 +0.25 0.38 1.0 + + +0.0 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