From 55f7b43615a2885f7e22861559016f80b90419f1 Mon Sep 17 00:00:00 2001 From: Peter Munch Date: Mon, 3 Apr 2023 14:02:03 +0200 Subject: [PATCH] Add interface for non-nested two level transfer Co-authored-by: peterrum --- .../multigrid/mg_transfer_global_coarsening.h | 142 +++++++ .../mg_transfer_global_coarsening.templates.h | 371 +++++++++++++++++- .../mg_transfer_global_coarsening.inst.in | 3 + .../mg_transfer_util.h | 139 +++++++ .../non_nested_multigrid_01.cc | 155 ++++++++ .../non_nested_multigrid_01.output | 13 + .../non_nested_multigrid_02.cc | 142 +++++++ .../non_nested_multigrid_02.output | 13 + .../non_nested_multigrid_03.cc | 133 +++++++ .../non_nested_multigrid_03.output | 13 + .../non_nested_transfer_01.cc | 148 +++++++ ...ransfer_01.with_p4est=true.mpirun=1.output | 25 ++ ...ransfer_01.with_p4est=true.mpirun=2.output | 51 +++ .../non_nested_transfer_02.cc | 141 +++++++ ...ransfer_02.with_p4est=true.mpirun=1.output | 61 +++ ...ransfer_02.with_p4est=true.mpirun=2.output | 123 ++++++ .../non_nested_transfer_03.cc | 153 ++++++++ ...ransfer_03.with_p4est=true.mpirun=1.output | 31 ++ ...ransfer_03.with_p4est=true.mpirun=2.output | 63 +++ 19 files changed, 1917 insertions(+), 3 deletions(-) create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_01.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_01.output create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_02.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_02.output create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_03.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_multigrid_03.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_01.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_01.with_p4est=true.mpirun=1.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_01.with_p4est=true.mpirun=2.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_02.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_02.with_p4est=true.mpirun=1.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_02.with_p4est=true.mpirun=2.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_03.cc create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_03.with_p4est=true.mpirun=1.output create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_03.with_p4est=true.mpirun=2.output diff --git a/include/deal.II/multigrid/mg_transfer_global_coarsening.h b/include/deal.II/multigrid/mg_transfer_global_coarsening.h index ce9d9e69bc..55c64c1f22 100644 --- a/include/deal.II/multigrid/mg_transfer_global_coarsening.h +++ b/include/deal.II/multigrid/mg_transfer_global_coarsening.h @@ -17,6 +17,7 @@ #define dealii_mg_transfer_global_coarsening_h #include +#include #include #include @@ -30,6 +31,8 @@ #include #include + + DEAL_II_NAMESPACE_OPEN // Forward declarations @@ -646,6 +649,145 @@ private: +/** + * Class for transfer between two non-nested multigrid levels. + * + */ +template +class MGTwoLevelTransferNonNested : public MGTwoLevelTransferBase +{ +public: + /** + * Perform prolongation. + */ + void + prolongate_and_add(VectorType &dst, const VectorType &src) const override; + + /** + * Perform restriction. + */ + void + restrict_and_add(VectorType &dst, const VectorType &src) const override; + + /** + * Perform interpolation of a solution vector from the fine level to the + * coarse level. This function is different from restriction, where a + * weighted residual is transferred to a coarser level (transposition of + * prolongation matrix). + */ + void + interpolate(VectorType &dst, const VectorType &src) const override; + + /** + * Return the memory consumption of the allocated memory in this class. + */ + std::size_t + memory_consumption() const override; +}; + + + +/** + * Class for transfer between two non-nested multigrid levels. + * + * Specialization for LinearAlgebra::distributed::Vector. + * + */ +template +class MGTwoLevelTransferNonNested> + : public MGTwoLevelTransferBase> +{ +private: + using VectorizedArrayType = VectorizedArray; + +public: + /** + * Set up transfer operator between the given DoFHandler objects ( + * @p dof_handler_fine and @p dof_handler_coarse). + */ + void + reinit(const DoFHandler & dof_handler_fine, + const DoFHandler & dof_handler_coarse, + const Mapping & mapping_fine, + const Mapping & mapping_coarse, + const AffineConstraints &constraint_fine = + AffineConstraints(), + const AffineConstraints &constraint_coarse = + AffineConstraints()); + + /** + * Perform interpolation of a solution vector from the fine level to the + * coarse level. This function is different from restriction, where a + * weighted residual is transferred to a coarser level (transposition of + * prolongation matrix). + */ + void + interpolate( + LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const override; + + /** + * Enable inplace vector operations if external and internal vectors + * are compatible. + */ + void + enable_inplace_operations_if_possible( + const std::shared_ptr + &partitioner_coarse, + const std::shared_ptr &partitioner_fine) + override; + + /** + * Return the memory consumption of the allocated memory in this class. + */ + std::size_t + memory_consumption() const override; + +protected: + /** + * Perform prolongation. + */ + void + prolongate_and_add_internal( + LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const override; + + /** + * Perform restriction. + */ + void + restrict_and_add_internal( + LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const override; + +private: + /** + * Object to evaluate shape functions on one mesh on visited support points of + * the other mesh. + */ + Utilities::MPI::RemotePointEvaluation rpe; + + /** + * MappingInfo object needed as Mapping argument by FEPointEvaluation. + */ + std::shared_ptr> mapping_info; + + /** + * Helper class for reading from and writing to global vectors and for + * applying constraints. + */ + internal::MatrixFreeFunctions::ConstraintInfo + constraint_info; + + /** + * Finite element of the coarse DoFHandler passed to reinit(). + */ + std::unique_ptr> fe_coarse; +}; + + + /** * Implementation of the MGTransferBase. In contrast to * other multigrid transfer operators, the user can provide separate diff --git a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h index d89f92a36b..d15aa7a0a1 100644 --- a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h +++ b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h @@ -21,7 +21,6 @@ #include #include -#include #include #include @@ -32,6 +31,7 @@ #include #include +#include #include #include @@ -3181,8 +3181,6 @@ MGTwoLevelTransferBase>:: } } - - template void MGTwoLevelTransfer>:: @@ -3472,6 +3470,373 @@ MGTransferBlockGlobalCoarsening::get_matrix_free_transfer( return transfer_operator; } +namespace internal +{ + namespace + { + template + std::shared_ptr> + fill_mapping_info(const Utilities::MPI::RemotePointEvaluation &rpe) + { + const auto &cell_data = rpe.get_cell_data(); + + std::vector::active_cell_iterator> + cell_iterators; + std::vector>> unit_points_vector; + + for (unsigned int i = 0; i < cell_data.cells.size(); ++i) + { + typename Triangulation::active_cell_iterator cell = { + &rpe.get_triangulation(), + cell_data.cells[i].first, + cell_data.cells[i].second}; + + const ArrayView> unit_points( + cell_data.reference_point_values.data() + + cell_data.reference_point_ptrs[i], + cell_data.reference_point_ptrs[i + 1] - + cell_data.reference_point_ptrs[i]); + + std::vector> unit_points_vector_cell; + + unit_points_vector_cell.insert(unit_points_vector_cell.begin(), + unit_points.begin(), + unit_points.end()); + + cell_iterators.emplace_back(cell); + unit_points_vector.emplace_back(unit_points_vector_cell); + } + + auto mapping_info = + std::make_shared>(rpe.get_mapping(), + update_values); + mapping_info->reinit_cells(cell_iterators, unit_points_vector); + + return mapping_info; + } + } // namespace +} // namespace internal + + +template +void +MGTwoLevelTransferNonNested>:: + reinit(const DoFHandler & dof_handler_fine, + const DoFHandler & dof_handler_coarse, + const Mapping & mapping_fine, + const Mapping & mapping_coarse, + const AffineConstraints &constraint_fine, + const AffineConstraints &constraint_coarse) +{ + AssertThrow(dof_handler_coarse.get_fe().has_support_points(), + ExcNotImplemented()); + Assert(dof_handler_coarse.get_fe().n_components() > 0 && + dof_handler_fine.get_fe().n_components() > 0, + ExcNotImplemented()); + Assert(dof_handler_fine.n_dofs() > dof_handler_coarse.n_dofs(), + ExcMessage( + "The coarser DoFHandler has more DoFs than the finer DoFHandler.")); + + this->fine_element_is_continuous = true; + + // create partitioners and internal vectors + { + IndexSet locally_relevant_dofs; + DoFTools::extract_locally_relevant_dofs(dof_handler_coarse, + locally_relevant_dofs); + this->partitioner_coarse.reset( + new Utilities::MPI::Partitioner(dof_handler_coarse.locally_owned_dofs(), + locally_relevant_dofs, + dof_handler_coarse.get_communicator())); + + this->vec_coarse.reinit(this->partitioner_coarse); + } + { + this->partitioner_fine.reset( + new Utilities::MPI::Partitioner(dof_handler_fine.locally_owned_dofs(), + dof_handler_fine.get_communicator())); + + this->vec_fine.reinit(this->partitioner_fine); + } + + + // Loop over fine cells and collect points, removing possible duplicates + auto & fe_space = dof_handler_fine.get_fe(); + const auto &unit_pts = fe_space.get_unit_support_points(); + std::vector>> points_all; + std::vector> points; + std::vector dof_indices( + dof_handler_fine.get_fe().n_dofs_per_cell()); + + const auto &local_indices_fine = dof_handler_fine.locally_owned_dofs(); + + Quadrature quadrature(unit_pts); + FEValues fe_values(mapping_fine, + fe_space, + quadrature, + update_quadrature_points); + + for (const auto &cell : dof_handler_fine.active_cell_iterators() | + IteratorFilters::LocallyOwnedCell()) + { + fe_values.reinit(cell); + cell->get_dof_indices(dof_indices); + + for (unsigned int i = 0; i < dof_indices.size(); ++i) + if (local_indices_fine.is_element(dof_indices[i]) && + (constraint_fine.is_constrained(dof_indices[i]) == false)) + points_all.emplace_back(local_indices_fine.index_within_set( + dof_indices[i]), + fe_values.quadrature_point(i)); + } + + std::sort(points_all.begin(), + points_all.end(), + [](const auto &a, const auto &b) { return a.first < b.first; }); + points_all.erase(std::unique(points_all.begin(), + points_all.end(), + [](const auto &a, const auto &b) { + return a.first == b.first; + }), + points_all.end()); + + for (const auto &i : points_all) + { + this->level_dof_indices_fine.push_back(i.first); + points.push_back(i.second); + } + + // Duplicates support points have been removed, hand them over to rpe. + rpe.reinit(points, dof_handler_coarse.get_triangulation(), mapping_coarse); + + // set up MappingInfo for easier data access + mapping_info = internal::fill_mapping_info(rpe); + + // set up constraints + const auto &cell_data = rpe.get_cell_data(); + + constraint_info.reinit(dof_handler_coarse, + cell_data.cells.size(), + false /*TODO*/); + + for (unsigned int i = 0; i < cell_data.cells.size(); ++i) + { + typename DoFHandler::active_cell_iterator cell = { + &rpe.get_triangulation(), + cell_data.cells[i].first, + cell_data.cells[i].second, + &dof_handler_coarse}; + + constraint_info.read_dof_indices(i, + numbers::invalid_unsigned_int, + cell, + constraint_coarse, + this->partitioner_coarse); + } + + constraint_info.finalize(); + + const auto &fe_base = dof_handler_coarse.get_fe().base_element(0); + + if (const auto fe = dynamic_cast *>(&fe_base)) + fe_coarse = std::make_unique>(fe->get_degree()); + else if (const auto fe = dynamic_cast *>(&fe_base)) + fe_coarse = fe->clone(); + else + AssertThrow(false, ExcMessage(dof_handler_coarse.get_fe().get_name())); +} + + + +template +void +MGTwoLevelTransferNonNested>:: + prolongate_and_add_internal( + LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const +{ + std::vector evaluation_point_results; + std::vector buffer; + + const auto evaluation_function = [&](auto &values, const auto &cell_data) { + std::vector solution_values; + + FEPointEvaluation<1, dim, dim, Number> evaluator(*mapping_info, *fe_coarse); + + for (unsigned int cell = 0; cell < cell_data.cells.size(); ++cell) + { + solution_values.resize(fe_coarse->n_dofs_per_cell()); + + // gather and resolve constraints + internal::VectorReader reader; + constraint_info.read_write_operation( + reader, + src, + reinterpret_cast(solution_values.data()), + cell, + 1, + solution_values.size(), + true); + + // evaluate and scatter + evaluator.reinit(cell); + + evaluator.evaluate(solution_values, dealii::EvaluationFlags::values); + + for (const auto q : evaluator.quadrature_point_indices()) + values[q + cell_data.reference_point_ptrs[cell]] = + evaluator.get_value(q); + } + }; + + rpe.template evaluate_and_process(evaluation_point_results, + buffer, + evaluation_function); + + // Weight operator in case some points are owned by multiple cells. + if (rpe.is_map_unique() == false) + { + const auto evaluation_point_results_temp = evaluation_point_results; + evaluation_point_results.assign(rpe.get_point_ptrs().size() - 1, 0); + + const auto &ptr = rpe.get_point_ptrs(); + + for (unsigned int i = 0; i < ptr.size() - 1; ++i) + { + const auto n_entries = ptr[i + 1] - ptr[i]; + if (n_entries == 0) + continue; + + Number result = 0.0; + + for (unsigned int j = 0; j < n_entries; ++j) + result += evaluation_point_results_temp[ptr[i] + j]; + result /= n_entries; + + evaluation_point_results[i] = result; + } + } + + for (unsigned int j = 0; j < evaluation_point_results.size(); ++j) + dst.local_element(this->level_dof_indices_fine[j]) += + evaluation_point_results[j]; +} + + + +template +void +MGTwoLevelTransferNonNested>:: + restrict_and_add_internal( + LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const +{ + std::vector evaluation_point_results; + std::vector buffer; + + evaluation_point_results.resize(rpe.get_point_ptrs().size() - 1); + + for (unsigned int j = 0; j < evaluation_point_results.size(); ++j) + evaluation_point_results[j] = + src.local_element(this->level_dof_indices_fine[j]); + + // Weight operator in case some points are owned by multiple cells. + if (rpe.is_map_unique() == false) + { + const auto &ptr = rpe.get_point_ptrs(); + + for (unsigned int i = 0; i < ptr.size() - 1; ++i) + { + const auto n_entries = ptr[i + 1] - ptr[i]; + if (n_entries == 0) + continue; + + evaluation_point_results[i] /= n_entries; + } + } + + const auto evaluation_function = [&](const auto &values, + const auto &cell_data) { + std::vector solution_values; + FEPointEvaluation<1, dim, dim, Number> evaluator(*mapping_info, *fe_coarse); + + for (unsigned int cell = 0; cell < cell_data.cells.size(); ++cell) + { + solution_values.resize(fe_coarse->n_dofs_per_cell()); + + // gather and integrate + evaluator.reinit(cell); + + for (const auto q : evaluator.quadrature_point_indices()) + evaluator.submit_value( + values[q + cell_data.reference_point_ptrs[cell]], q); + + evaluator.integrate(solution_values, EvaluationFlags::values); + + // resolve constraints and scatter + internal::VectorDistributorLocalToGlobal + writer; + constraint_info.read_write_operation( + writer, + dst, + reinterpret_cast(solution_values.data()), + cell, + 1, + solution_values.size(), + true); + } + }; + + rpe.template process_and_evaluate(evaluation_point_results, + buffer, + evaluation_function); +} + + + +template +void +MGTwoLevelTransferNonNested>:: + interpolate(LinearAlgebra::distributed::Vector & dst, + const LinearAlgebra::distributed::Vector &src) const +{ + AssertThrow(false, ExcNotImplemented()); + (void)dst; + (void)src; +} + + + +template +void +MGTwoLevelTransferNonNested>:: + enable_inplace_operations_if_possible( + const std::shared_ptr + &external_partitioner_coarse, + const std::shared_ptr + &external_partitioner_fine) +{ + this->internal_enable_inplace_operations_if_possible( + external_partitioner_coarse, external_partitioner_fine, constraint_info); +} + + + +template +std::size_t +MGTwoLevelTransferNonNested>:: + memory_consumption() const +{ + std::size_t size = 0; + + size += this->partitioner_coarse->memory_consumption(); + size += this->vec_coarse.memory_consumption(); + size += MemoryConsumption::memory_consumption(this->level_dof_indices_fine); + // TODO: add consumption for rpe, mapping_info and constraint_info. + + return size; +} + DEAL_II_NAMESPACE_CLOSE diff --git a/source/multigrid/mg_transfer_global_coarsening.inst.in b/source/multigrid/mg_transfer_global_coarsening.inst.in index 409970190a..79b08a4c41 100644 --- a/source/multigrid/mg_transfer_global_coarsening.inst.in +++ b/source/multigrid/mg_transfer_global_coarsening.inst.in @@ -19,6 +19,9 @@ for (deal_II_dimension : DIMENSIONS; S1 : REAL_SCALARS) { template class MGTwoLevelTransfer>; + template class MGTwoLevelTransferNonNested< + deal_II_dimension, + LinearAlgebra::distributed::Vector>; template class MGTransferBlockMatrixFreeBase< deal_II_dimension, S1, diff --git a/tests/multigrid-global-coarsening/mg_transfer_util.h b/tests/multigrid-global-coarsening/mg_transfer_util.h index f9280925f2..931981f9ae 100644 --- a/tests/multigrid-global-coarsening/mg_transfer_util.h +++ b/tests/multigrid-global-coarsening/mg_transfer_util.h @@ -16,6 +16,11 @@ #ifndef dealii_multigrid_transfer_tests_h #define dealii_multigrid_transfer_tests_h +#include + +#include +#include + #include "../tests.h" using namespace dealii; @@ -167,4 +172,138 @@ test_transfer_operator( } } + + +template +void +test_non_nested_transfer( + const MGTwoLevelTransferNonNested> + & transfer, + const MeshType & dof_handler_fine, + const MeshType & dof_handler_coarse, + const Function &function = + Functions::ZeroFunction(), + const unsigned int mg_level_fine = numbers::invalid_unsigned_int, + const unsigned int mg_level_coarse = numbers::invalid_unsigned_int) +{ + AffineConstraints constraint_fine; + DoFTools::make_hanging_node_constraints(dof_handler_fine, constraint_fine); + constraint_fine.close(); + + // perform prolongation + LinearAlgebra::distributed::Vector src, dst; + + initialize_dof_vector(dst, dof_handler_fine, mg_level_fine); + initialize_dof_vector(src, dof_handler_coarse, mg_level_coarse); + + // test prolongation + { + src = 0.0; + VectorTools::interpolate(dof_handler_coarse, function, src); // src = 1.0 + dst = 0.0; + transfer.prolongate_and_add(dst, src); + + // transfer operator sets only non-constrained dofs -> update the rest + // via constraint matrix + constraint_fine.distribute(dst); + + // Visualize the result + { + DataOut<2> data_out; + data_out.attach_dof_handler(dof_handler_coarse); + data_out.add_data_vector( + src, + "coarse_solution", + DataOut_DoFData::DataVectorType::type_dof_data); + data_out.build_patches(); + std::ofstream output_coarse("coarse_sol.vtk"); + data_out.write_vtk(output_coarse); + data_out.clear(); + std::ofstream output_fine("prolonged_sol.vtk"); + data_out.attach_dof_handler(dof_handler_fine); + data_out.add_data_vector( + dst, + "prolonged_solution", + DataOut_DoFData::DataVectorType::type_dof_data); + + data_out.build_patches(); + data_out.write_vtk(output_fine); + } + + // print norms + if (true) + { + deallog << dst.l2_norm() << std::endl; + } + + // print vectors + if (true) + { + print(src); + print(dst); + } + + // print full prolongation matrix + if (Utilities::MPI::n_mpi_processes(MPI_COMM_WORLD) == 1 && false) + { + FullMatrix prolongation_matrix(dst.size(), src.size()); + for (unsigned int i = 0; i < src.size(); ++i) + { + src = 0.0; + src[i] = 1.0; + dst = 0.0; + + transfer.prolongate_and_add(dst, src); + + for (unsigned int j = 0; j < dst.size(); ++j) + prolongation_matrix[j][i] = dst[j]; + } + + prolongation_matrix.print_formatted( + deallog.get_file_stream(), 2, false, 5, "", 1, 1e-5); + } + } + + // test restriction + { + VectorTools::interpolate(dof_handler_fine, function, dst); // dst = 1.0 + src = 0.0; + transfer.restrict_and_add(src, dst); + + // print norms + if (true) + { + deallog << src.l2_norm() << std::endl; + } + + // print vectors + if (true) + { + print(dst); + print(src); + } + + // print full restriction matrix + if (Utilities::MPI::n_mpi_processes(MPI_COMM_WORLD) == 1 && false) + { + FullMatrix restriction_matrix(src.size(), dst.size()); + for (unsigned int i = 0; i < dst.size(); ++i) + { + dst = 0.0; + dst[i] = 1.0; + src = 0.0; + + transfer.restrict_and_add(src, dst); + + for (unsigned int j = 0; j < src.size(); ++j) + restriction_matrix[j][i] = src[j]; + } + + restriction_matrix.print_formatted( + deallog.get_file_stream(), 2, false, 5, "", 1, 1e-5); + } + } +} + #endif diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc b/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc new file mode 100644 index 0000000000..2b2b504a65 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc @@ -0,0 +1,155 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 - 2022 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +/** + * Test global-coarsening multigrid for a uniformly refined mesh both for + * simplex and hypercube mesh. + */ + +#include + +#include "multigrid_util.h" + +template +void +test(const unsigned int n_refinements, + const unsigned int fe_degree_fine, + const bool do_simplex_mesh) +{ + using VectorType = LinearAlgebra::distributed::Vector; + + const unsigned int min_level = 0; + const unsigned int max_level = n_refinements; + + MGLevelObject> triangulations(min_level, max_level); + MGLevelObject> dof_handlers(min_level, max_level); + MGLevelObject> constraints(min_level, max_level); + MGLevelObject>> mappings(min_level, max_level); + MGLevelObject>> + transfers(min_level, max_level); + MGLevelObject> operators(min_level, max_level); + + + // set up levels + for (auto l = min_level; l <= max_level; ++l) + { + auto &tria = triangulations[l]; + auto &dof_handler = dof_handlers[l]; + auto &constraint = constraints[l]; + auto &op = operators[l]; + + std::unique_ptr> fe; + std::unique_ptr> quad; + std::unique_ptr> mapping; + + if (do_simplex_mesh) + { + fe = std::make_unique>(fe_degree_fine); + quad = std::make_unique>(fe_degree_fine + 1); + mapping = std::make_unique>(FE_SimplexP(1)); + } + else + { + fe = std::make_unique>(fe_degree_fine); + quad = std::make_unique>(fe_degree_fine + 1); + mapping = std::make_unique>(1); + } + + mappings[l] = mapping->clone(); + + // set up triangulation + if (do_simplex_mesh) + GridGenerator::subdivided_hyper_cube_with_simplices(tria, 2); + else + GridGenerator::subdivided_hyper_cube(tria, 2); + tria.refine_global(l); + + // set up dofhandler + dof_handler.reinit(tria); + dof_handler.distribute_dofs(*fe); + + // set up constraints + IndexSet locally_relevant_dofs; + DoFTools::extract_locally_relevant_dofs(dof_handler, + locally_relevant_dofs); + constraint.reinit(locally_relevant_dofs); + VectorTools::interpolate_boundary_values( + *mapping, dof_handler, 0, Functions::ZeroFunction(), constraint); + constraint.close(); + + // set up operator + op.reinit(*mapping, dof_handler, *quad, constraint); + } + + // set up transfer operator + for (unsigned int l = min_level; l < max_level; ++l) + { + transfers[l + 1] = + std::make_shared>(); + transfers[l + 1]->reinit(dof_handlers[l + 1], + dof_handlers[l], + *mappings[l + 1], + *mappings[l], + constraints[l + 1], + constraints[l]); + } + + MGTransferGlobalCoarsening transfer( + transfers, + [&](const auto l, auto &vec) { operators[l].initialize_dof_vector(vec); }); + + + GMGParameters mg_data; // TODO + + VectorType dst, src; + operators[max_level].initialize_dof_vector(dst); + operators[max_level].initialize_dof_vector(src); + + operators[max_level].rhs(src); + + ReductionControl solver_control( + mg_data.maxiter, mg_data.abstol, mg_data.reltol, false, false); + + mg_solve(solver_control, + dst, + src, + mg_data, + dof_handlers[max_level], + operators[max_level], + operators, + transfer); + + deallog << dim << ' ' << fe_degree_fine << ' ' << n_refinements << ' ' + << (do_simplex_mesh ? "tri " : "quad") << ' ' + << solver_control.last_step() << std::endl; +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + + for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements) + for (unsigned int degree = 1; degree <= 4; ++degree) + test<2>(n_refinements, degree, false /*quadrilateral*/); + + // for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements) + // for (unsigned int degree = 1; degree <= 2; ++degree) + // test<2>(n_refinements, degree, true /*triangle*/); +} diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_01.output b/tests/multigrid-global-coarsening/non_nested_multigrid_01.output new file mode 100644 index 0000000000..6e180875b3 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_01.output @@ -0,0 +1,13 @@ + +DEAL:0::2 1 2 quad 2 +DEAL:0::2 2 2 quad 3 +DEAL:0::2 3 2 quad 3 +DEAL:0::2 4 2 quad 3 +DEAL:0::2 1 3 quad 3 +DEAL:0::2 2 3 quad 3 +DEAL:0::2 3 3 quad 3 +DEAL:0::2 4 3 quad 3 +DEAL:0::2 1 4 quad 3 +DEAL:0::2 2 4 quad 3 +DEAL:0::2 3 4 quad 3 +DEAL:0::2 4 4 quad 3 diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_02.cc b/tests/multigrid-global-coarsening/non_nested_multigrid_02.cc new file mode 100644 index 0000000000..ea553b4b0b --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_02.cc @@ -0,0 +1,142 @@ +// // --------------------------------------------------------------------- +// // +// // Copyright (C) 2020 - 2022 by the deal.II authors +// // +// // This file is part of the deal.II library. +// // +// // The deal.II library is free software; you can use it, redistribute +// // it, and/or modify it under the terms of the GNU Lesser General +// // Public License as published by the Free Software Foundation; either +// // version 2.1 of the License, or (at your option) any later version. +// // The full text of the license can be found in the file LICENSE.md at +// // the top level directory of deal.II. +// // +// // --------------------------------------------------------------------- + + +/** + * Test global-coarsening multigrid for a uniformly refined mesh both for + * simplex and hypercube mesh. + */ + +#include + +#include "multigrid_util.h" + +template +void +test(const unsigned int n_refinements, + const unsigned int fe_degree_fine, + const double factor) +{ + using VectorType = LinearAlgebra::distributed::Vector; + + const unsigned int min_level = 0; + const unsigned int max_level = n_refinements; + + MGLevelObject> triangulations(min_level, max_level); + MGLevelObject> dof_handlers(min_level, max_level); + MGLevelObject> constraints(min_level, max_level); + MGLevelObject> mappings(min_level, max_level); + MGLevelObject>> + transfers(min_level, max_level); + MGLevelObject> operators(min_level, max_level); + + + // set up levels + for (auto l = min_level; l <= max_level; ++l) + { + auto &tria = triangulations[l]; + auto &dof_handler = dof_handlers[l]; + auto &constraint = constraints[l]; + auto &mapping = mappings[l]; + auto &op = operators[l]; + + std::unique_ptr> fe = + std::make_unique>(fe_degree_fine); + std::unique_ptr> quad = + std::make_unique>(fe_degree_fine + 1); + std::unique_ptr> _mapping = + std::make_unique>(FE_Q(1)); + + + // set up triangulation + GridGenerator::subdivided_hyper_cube(tria, 2); + tria.refine_global(l); + GridTools::distort_random(factor, + tria, + true, + boost::random::mt19937::default_seed); + + // set up dofhandler + dof_handler.reinit(tria); + dof_handler.distribute_dofs(*fe); + + // set up constraints + IndexSet locally_relevant_dofs; + DoFTools::extract_locally_relevant_dofs(dof_handler, + locally_relevant_dofs); + constraint.reinit(locally_relevant_dofs); + VectorTools::interpolate_boundary_values( + *_mapping, dof_handler, 0, Functions::ZeroFunction(), constraint); + constraint.close(); + + // set up operator + op.reinit(*_mapping, dof_handler, *quad, constraint); + } + + // set up transfer operator + for (unsigned int l = min_level; l < max_level; ++l) + { + transfers[l + 1] = + std::make_shared>(); + transfers[l + 1]->reinit(dof_handlers[l + 1], + dof_handlers[l], + mappings[l + 1], + mappings[l], + constraints[l + 1], + constraints[l]); + } + + MGTransferGlobalCoarsening transfer( + transfers, + [&](const auto l, auto &vec) { operators[l].initialize_dof_vector(vec); }); + + + GMGParameters mg_data; // TODO + + VectorType dst, src; + operators[max_level].initialize_dof_vector(dst); + operators[max_level].initialize_dof_vector(src); + + operators[max_level].rhs(src); + + ReductionControl solver_control( + mg_data.maxiter, mg_data.abstol, mg_data.reltol, false, false); + + mg_solve(solver_control, + dst, + src, + mg_data, + dof_handlers[max_level], + operators[max_level], + operators, + transfer); + + deallog << dim << ' ' << fe_degree_fine << ' ' << n_refinements << ' ' + << "quad" << ' ' << solver_control.last_step() << std::endl; +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + + const double factor = .36; + for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements) + for (unsigned int degree = 1; degree <= 4; ++degree) + test<2>(n_refinements, degree, factor); +} diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_02.output b/tests/multigrid-global-coarsening/non_nested_multigrid_02.output new file mode 100644 index 0000000000..f3cc641f1d --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_02.output @@ -0,0 +1,13 @@ + +DEAL:0::2 1 2 quad 3 +DEAL:0::2 2 2 quad 3 +DEAL:0::2 3 2 quad 3 +DEAL:0::2 4 2 quad 4 +DEAL:0::2 1 3 quad 3 +DEAL:0::2 2 3 quad 3 +DEAL:0::2 3 3 quad 3 +DEAL:0::2 4 3 quad 4 +DEAL:0::2 1 4 quad 3 +DEAL:0::2 2 4 quad 3 +DEAL:0::2 3 4 quad 3 +DEAL:0::2 4 4 quad 4 diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_03.cc b/tests/multigrid-global-coarsening/non_nested_multigrid_03.cc new file mode 100644 index 0000000000..5f932b3dce --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_03.cc @@ -0,0 +1,133 @@ +// // --------------------------------------------------------------------- +// // +// // Copyright (C) 2020 - 2022 by the deal.II authors +// // +// // This file is part of the deal.II library. +// // +// // The deal.II library is free software; you can use it, redistribute +// // it, and/or modify it under the terms of the GNU Lesser General +// // Public License as published by the Free Software Foundation; either +// // version 2.1 of the License, or (at your option) any later version. +// // The full text of the license can be found in the file LICENSE.md at +// // the top level directory of deal.II. +// // +// // --------------------------------------------------------------------- + + +/** + * Test global-coarsening multigrid with non-nested levels for a hyper_ball with + * a SphericalManifold attached to it. + */ + +#include + +#include "multigrid_util.h" + +template +void +test(const unsigned int n_refinements, const unsigned int fe_degree_fine) +{ + using VectorType = LinearAlgebra::distributed::Vector; + + const unsigned int min_level = 0; + const unsigned int max_level = n_refinements; + + MGLevelObject> triangulations(min_level, max_level); + MGLevelObject> dof_handlers(min_level, max_level); + MGLevelObject> constraints(min_level, max_level); + MGLevelObject> mappings(min_level, max_level); + MGLevelObject>> + transfers(min_level, max_level); + MGLevelObject> operators(min_level, max_level); + + + // set up levels + for (auto l = min_level; l <= max_level; ++l) + { + auto &tria = triangulations[l]; + auto &dof_handler = dof_handlers[l]; + auto &constraint = constraints[l]; + auto &mapping = mappings[l]; + auto &op = operators[l]; + + std::unique_ptr> fe = + std::make_unique>(fe_degree_fine); + std::unique_ptr> quad = + std::make_unique>(fe_degree_fine + 1); + + // set up triangulation + GridGenerator::hyper_ball(tria, {}, 1.0); + tria.refine_global(l); + + // set up dofhandler + dof_handler.reinit(tria); + dof_handler.distribute_dofs(*fe); + + // set up constraints + IndexSet locally_relevant_dofs; + DoFTools::extract_locally_relevant_dofs(dof_handler, + locally_relevant_dofs); + constraint.reinit(locally_relevant_dofs); + VectorTools::interpolate_boundary_values( + mapping, dof_handler, 0, Functions::ZeroFunction(), constraint); + constraint.close(); + + // set up operator + op.reinit(mapping, dof_handler, *quad, constraint); + } + + // set up transfer operator + for (unsigned int l = min_level; l < max_level; ++l) + { + transfers[l + 1] = + std::make_shared>(); + transfers[l + 1]->reinit(dof_handlers[l + 1], + dof_handlers[l], + mappings[l + 1], + mappings[l], + constraints[l + 1], + constraints[l]); + } + + MGTransferGlobalCoarsening transfer( + transfers, + [&](const auto l, auto &vec) { operators[l].initialize_dof_vector(vec); }); + + + GMGParameters mg_data; // TODO + + VectorType dst, src; + operators[max_level].initialize_dof_vector(dst); + operators[max_level].initialize_dof_vector(src); + + operators[max_level].rhs(src); + + ReductionControl solver_control( + mg_data.maxiter, mg_data.abstol, mg_data.reltol, false, false); + + mg_solve(solver_control, + dst, + src, + mg_data, + dof_handlers[max_level], + operators[max_level], + operators, + transfer); + + deallog << dim << ' ' << fe_degree_fine << ' ' << n_refinements << ' ' + << "quad" << ' ' << solver_control.last_step() << std::endl; +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + + + for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements) + for (unsigned int degree = 1; degree <= 4; ++degree) + test<2>(n_refinements, degree); +} diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_03.output b/tests/multigrid-global-coarsening/non_nested_multigrid_03.output new file mode 100644 index 0000000000..81dfdb94c8 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_multigrid_03.output @@ -0,0 +1,13 @@ + +DEAL:0::2 1 2 quad 3 +DEAL:0::2 2 2 quad 3 +DEAL:0::2 3 2 quad 4 +DEAL:0::2 4 2 quad 4 +DEAL:0::2 1 3 quad 3 +DEAL:0::2 2 3 quad 3 +DEAL:0::2 3 3 quad 4 +DEAL:0::2 4 3 quad 4 +DEAL:0::2 1 4 quad 3 +DEAL:0::2 2 4 quad 3 +DEAL:0::2 3 4 quad 4 +DEAL:0::2 4 4 quad 4 diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_01.cc b/tests/multigrid-global-coarsening/non_nested_transfer_01.cc new file mode 100644 index 0000000000..c0397213a6 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_transfer_01.cc @@ -0,0 +1,148 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 - 2022 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +/** + * Test prolongation with non-nested levels. + * + * Example: + * + * +---+---+-----+ +-----+-----+ + * | k | k | | | | | + * |---+---| k | | k | k | + * | k | k | | 0 | | | + * +---+---+-----+ -> +-----+-----+ + * | k | k | | | | | + * |---+---| k | | k | k | + * | k | k | | | | | + * +---+---+-----+ +-----+-----+ + * + * ... with fe_degree in the cells + */ + +#include +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include +#include + +#include +#include + +#include +#include + +#include +#include + +#include "mg_transfer_util.h" + +using namespace dealii; + +template +void +do_test(const FiniteElement & fe_fine, + const FiniteElement & fe_coarse, + const Function &function) +{ + // create coarse grid + parallel::distributed::Triangulation tria_coarse(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_coarse); + tria_coarse.refine_global(); + + // create fine grid + parallel::distributed::Triangulation tria_fine(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_fine); + tria_fine.refine_global(); + tria_fine.refine_global(); + + // setup dof-handlers + DoFHandler dof_handler_fine(tria_fine); + dof_handler_fine.distribute_dofs(fe_fine); + + DoFHandler dof_handler_coarse(tria_coarse); + dof_handler_coarse.distribute_dofs(fe_coarse); + + // setup constraint matrix + AffineConstraints constraint_coarse; + constraint_coarse.close(); + + AffineConstraints constraint_fine; + constraint_fine.close(); + + // setup transfer operator + MGTwoLevelTransferNonNested> + transfer; + MappingQ1 mapping_fine, mapping_coarse; + transfer.reinit(dof_handler_fine, + dof_handler_coarse, + mapping_fine, + mapping_coarse, + constraint_fine, + constraint_coarse); + + test_non_nested_transfer(transfer, + dof_handler_fine, + dof_handler_coarse, + function); +} + +template +void +test(int fe_degree, const Function &function) +{ + const auto str_fine = std::to_string(fe_degree); + const auto str_coarse = std::to_string(fe_degree); + + if (fe_degree > 0) + { + deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")"); + do_test(FE_Q(fe_degree), + FE_Q(fe_degree), + function); + deallog.pop(); + } + + if (false) + { + deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")"); + do_test(FE_DGQ(fe_degree), + FE_DGQ(fe_degree), + function); + deallog.pop(); + } +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + + Functions::ConstantFunction<2, double> constant(1.); + for (unsigned int i = 0; i < 5; ++i) + test<2, double>(i, constant); +} diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_01.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/non_nested_transfer_01.with_p4est=true.mpirun=1.output new file mode 100644 index 0000000000..d2e2e4860c --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_transfer_01.with_p4est=true.mpirun=1.output @@ -0,0 +1,25 @@ + +DEAL:0:CG<2>(1)<->CG<2>(1)::5.0000000 +DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 +DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 +DEAL:0:CG<2>(1)<->CG<2>(1)::8.5000000 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+// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +/** + * Test prolongation and restriction with "non-nested" triangulations. + * + */ + +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include +#include + +#include +#include +#include + +#include +#include + +#include +#include + +#include "mg_transfer_util.h" + +using namespace dealii; + +template +void +do_test(const FiniteElement & fe_fine, + const FiniteElement & fe_coarse, + const Function &function) +{ + // create coarse grid + parallel::distributed::Triangulation tria_coarse(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_coarse, -1. + .2, 1. + .2); + const double angle = .5 * numbers::PI_4; + GridTools::rotate(angle, tria_coarse); + tria_coarse.refine_global(2); + + // create fine grid + parallel::distributed::Triangulation tria_fine(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_fine, -2., +2.); + tria_fine.refine_global(5); + + // setup dof-handlers + DoFHandler dof_handler_fine(tria_fine); + dof_handler_fine.distribute_dofs(fe_fine); + + DoFHandler dof_handler_coarse(tria_coarse); + dof_handler_coarse.distribute_dofs(fe_coarse); + + // setup constraint matrix + AffineConstraints constraint_coarse; + constraint_coarse.close(); + + AffineConstraints constraint_fine; + constraint_fine.close(); + + // setup transfer operator + MGTwoLevelTransferNonNested> + transfer; + MappingQ1 mapping_fine, mapping_coarse; + transfer.reinit(dof_handler_fine, + dof_handler_coarse, + mapping_fine, + mapping_coarse, + constraint_fine, + constraint_coarse); + + test_non_nested_transfer(transfer, + dof_handler_fine, + dof_handler_coarse, + function); +} + +template +void +test(int fe_degree, const Function &function) +{ + const auto str_fine = std::to_string(fe_degree); + const auto str_coarse = std::to_string(fe_degree); + + if (false && fe_degree > 0) + { + deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")"); + do_test(FE_Q(fe_degree), + FE_Q(fe_degree), + function); + deallog.pop(); + } + + + { + deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")"); + do_test(FE_DGQ(fe_degree), + FE_DGQ(fe_degree), + function); + deallog.pop(); + } +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + Functions::Monomial<2> linear_function(Tensor<1, 2>({1, 0})); // f(x,y)= x + Functions::Monomial<2> bilinear_function(Tensor<1, 2>({1, 1})); // f(x,y)= xy + std::vector> functions; + functions.push_back(linear_function); + functions.push_back(bilinear_function); + + for (const auto &f : functions) + for (unsigned int i = 0; i < 5; ++i) + test<2, double>(i, f); +} diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_02.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/non_nested_transfer_02.with_p4est=true.mpirun=1.output new file mode 100644 index 0000000000..413d7239b3 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_transfer_02.with_p4est=true.mpirun=1.output @@ -0,0 +1,61 @@ + +DEAL:0:DG<2>(0)<->DG<2>(0)::9.1102818 +DEAL:0:DG<2>(0)<->DG<2>(0)::-0.29765786 0.16428191 -0.48899957 -0.027059805 0.62622168 1.0881614 0.43487996 0.89681973 -0.68034129 -0.21840152 -0.87168300 -0.40974324 0.24353825 0.70547801 0.052196529 0.51413630 +DEAL:0:DG<2>(0)<->DG<2>(0)::0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 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-4.0025389 2.5581292 9.2123375 2.5991997 -1.0529727 -5.0027322 -0.24478296 4.7167863 0.98261856 -0.48638833 -0.85901543 -0.51076987 0.45795765 0.57830811 0.24334514 2.8743672 4.1421951 3.4139283 0.58007320 2.6787218 14.365772 22.583730 27.613405 6.3808280 2.0276016 15.713851 33.470174 31.688794 8.7047132 2.2139810 12.642610 23.231176 27.473088 3.4203871 0.28503267 2.4844114 4.2508470 6.4399739 1.3478113 + diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_03.cc b/tests/multigrid-global-coarsening/non_nested_transfer_03.cc new file mode 100644 index 0000000000..8859c9da07 --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_transfer_03.cc @@ -0,0 +1,153 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 - 2022 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +/** + * Test prolongation and restriction with "non-nested" triangulations where one + * is obtained from the other by a "random" distortion. + * + */ + +#include +#include +#include +#include + +#include + +#include + +#include +#include +#include +#include + +#include +#include +#include + +#include +#include + +#include +#include + +#include "mg_transfer_util.h" + +using namespace dealii; + +template +void +do_test(const FiniteElement & fe_fine, + const FiniteElement & fe_coarse, + const Function &function) +{ + // create coarse grid + parallel::distributed::Triangulation tria_coarse(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_coarse, -1., 1.); + tria_coarse.refine_global(3); + const double factor = 0.25; + GridTools::distort_random(factor, + tria_coarse, + true, + boost::random::mt19937::default_seed); + + // create fine grid + parallel::distributed::Triangulation tria_fine(MPI_COMM_WORLD); + GridGenerator::hyper_cube(tria_fine, -1., 1.); + tria_fine.refine_global(4); + GridTools::distort_random(factor, + tria_fine, + true, + boost::random::mt19937::default_seed); + + + { + // Just print the grids. + std::ofstream coarse_filename("initial_tria.vtk"); + std::ofstream fine_filename("distorted_tria.vtk"); + GridOut go; + go.write_vtk(tria_coarse, coarse_filename); + go.write_vtk(tria_fine, fine_filename); + } + + // setup dof-handlers + DoFHandler dof_handler_fine(tria_fine); + dof_handler_fine.distribute_dofs(fe_fine); + + DoFHandler dof_handler_coarse(tria_coarse); + dof_handler_coarse.distribute_dofs(fe_coarse); + + // setup constraint matrix + AffineConstraints constraint_coarse; + constraint_coarse.close(); + + AffineConstraints constraint_fine; + constraint_fine.close(); + + // setup transfer operator + MGTwoLevelTransferNonNested> + transfer; + MappingQ1 mapping_fine, mapping_coarse; + transfer.reinit(dof_handler_fine, + dof_handler_coarse, + mapping_fine, + mapping_coarse, + constraint_fine, + constraint_coarse); + + test_non_nested_transfer(transfer, + dof_handler_fine, + dof_handler_coarse, + function); +} + +template +void +test(int fe_degree, const Function &function) +{ + const auto str_fine = std::to_string(fe_degree); + const auto str_coarse = std::to_string(fe_degree); + + if (false && fe_degree > 0) + { + deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")"); + do_test(FE_Q(fe_degree), + FE_Q(fe_degree), + function); + deallog.pop(); + } + + + { + deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")"); + do_test(FE_DGQ(fe_degree), + FE_DGQ(fe_degree), + function); + deallog.pop(); + } +} + +int +main(int argc, char **argv) +{ + Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1); + MPILogInitAll all; + + deallog.precision(8); + Functions::Monomial<2> linear_function(Tensor<1, 2>({1, 0})); // f(x,y)= x + for (unsigned int i = 0; i < 5; ++i) + test<2, double>(i, linear_function); +} diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_03.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/non_nested_transfer_03.with_p4est=true.mpirun=1.output new file mode 100644 index 0000000000..42c4b4a4bd --- /dev/null +++ b/tests/multigrid-global-coarsening/non_nested_transfer_03.with_p4est=true.mpirun=1.output @@ -0,0 +1,31 @@ + +DEAL:0:DG<2>(0)<->DG<2>(0)::9.1426608 +DEAL:0:DG<2>(0)<->DG<2>(0)::-0.86478889 -0.60273954 -0.87451662 -0.59951560 -0.35407707 -0.13164496 -0.35017792 -0.13921796 -0.87413917 -0.60017225 -0.87745460 -0.60551357 -0.34820017 -0.12145316 -0.32822840 -0.11009100 0.10638934 0.38671835 0.11741831 0.41189230 0.64704900 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