--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// the same as laplace_operator_01, but heterogeneous Laplace operator with a
+// single constant coefficient per cell
+
+#include <deal.II/base/function.h>
+#include <deal.II/base/utilities.h>
+
+#include <deal.II/distributed/tria.h>
+
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/manifold_lib.h>
+
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/lac/trilinos_sparse_matrix.h>
+#include <deal.II/lac/trilinos_sparsity_pattern.h>
+
+#include <deal.II/matrix_free/operators.h>
+
+#include <deal.II/numerics/vector_tools.h>
+
+#include <iostream>
+
+#include "../tests.h"
+
+
+template <int dim, int fe_degree>
+void
+test()
+{
+ typedef double number;
+
+ parallel::distributed::Triangulation<dim> tria(MPI_COMM_WORLD);
+ GridGenerator::hyper_cube(tria);
+ tria.refine_global(1);
+ for (const auto &cell : tria.active_cell_iterators())
+ if (cell->is_locally_owned())
+ if (cell->center().norm() < 0.2)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ if (dim < 3 && fe_degree < 2)
+ tria.refine_global(2);
+ else
+ tria.refine_global(1);
+ if (tria.begin(tria.n_levels() - 1)->is_locally_owned())
+ tria.begin(tria.n_levels() - 1)->set_refine_flag();
+ if (tria.last()->is_locally_owned())
+ tria.last()->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ for (unsigned int i = 0; i < 10 - 3 * dim; ++i)
+ {
+ unsigned int counter = 0;
+ for (const auto &cell : tria.active_cell_iterators())
+ if (cell->is_locally_owned())
+ if (counter++ % (7 - i) == 0)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ }
+
+ FE_Q<dim> fe(fe_degree);
+ DoFHandler<dim> dof(tria);
+ dof.distribute_dofs(fe);
+
+ IndexSet owned_set = dof.locally_owned_dofs();
+ IndexSet relevant_set;
+ DoFTools::extract_locally_relevant_dofs(dof, relevant_set);
+
+ AffineConstraints<double> constraints(relevant_set);
+ DoFTools::make_hanging_node_constraints(dof, constraints);
+ VectorTools::interpolate_boundary_values(dof,
+ 0,
+ Functions::ZeroFunction<dim>(),
+ constraints);
+ constraints.close();
+
+ deallog << "Testing " << dof.get_fe().get_name() << std::endl;
+ // std::cout << "Number of cells: " << tria.n_global_active_cells() <<
+ // std::endl; std::cout << "Number of degrees of freedom: " << dof.n_dofs() <<
+ // std::endl; std::cout << "Number of constraints: " <<
+ // constraints.n_constraints() << std::endl;
+
+ std::shared_ptr<MatrixFree<dim, number>> mf_data(
+ new MatrixFree<dim, number>());
+ {
+ const QGauss<1> quad(fe_degree + 1);
+ typename MatrixFree<dim, number>::AdditionalData data;
+ data.tasks_parallel_scheme = MatrixFree<dim, number>::AdditionalData::none;
+ data.tasks_block_size = 7;
+ data.mapping_update_flags =
+ update_quadrature_points | update_gradients | update_JxW_values;
+ mf_data->reinit(dof, constraints, quad, data);
+ }
+
+ std::shared_ptr<Table<2, VectorizedArray<number>>> coefficient;
+ coefficient = std::make_shared<Table<2, VectorizedArray<number>>>();
+ {
+ coefficient->reinit(mf_data->n_cell_batches(), 1);
+ for (unsigned int cell = 0; cell < mf_data->n_cell_batches(); ++cell)
+ for (unsigned int v = 0;
+ v < mf_data->n_active_entries_per_cell_batch(cell);
+ ++v)
+ (*coefficient)(cell, 0)[v] =
+ 1. + std::sqrt(static_cast<double>(
+ mf_data->get_cell_iterator(cell, v)->active_cell_index()));
+ }
+
+ MatrixFreeOperators::LaplaceOperator<
+ dim,
+ fe_degree,
+ fe_degree + 1,
+ 1,
+ LinearAlgebra::distributed::Vector<number>>
+ mf;
+ mf.initialize(mf_data);
+ mf.set_coefficient(coefficient);
+ mf.compute_diagonal();
+ LinearAlgebra::distributed::Vector<number> in, out, ref;
+ mf_data->initialize_dof_vector(in);
+ out.reinit(in);
+ ref.reinit(in);
+
+ for (unsigned int i = 0; i < in.local_size(); ++i)
+ {
+ const unsigned int glob_index = owned_set.nth_index_in_set(i);
+ if (constraints.is_constrained(glob_index))
+ continue;
+ in.local_element(i) = random_value<double>();
+ }
+
+ mf.vmult(out, in);
+
+
+ // assemble trilinos sparse matrix with
+ // (v, u) for reference
+ TrilinosWrappers::SparseMatrix sparse_matrix;
+ {
+ TrilinosWrappers::SparsityPattern csp(owned_set, MPI_COMM_WORLD);
+ DoFTools::make_sparsity_pattern(dof,
+ csp,
+ constraints,
+ true,
+ Utilities::MPI::this_mpi_process(
+ MPI_COMM_WORLD));
+ csp.compress();
+ sparse_matrix.reinit(csp);
+ }
+ {
+ QGauss<dim> quadrature_formula(fe_degree + 1);
+
+ FEValues<dim> fe_values(dof.get_fe(),
+ quadrature_formula,
+ update_gradients | update_JxW_values |
+ update_quadrature_points);
+
+ const unsigned int dofs_per_cell = dof.get_fe().dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.size();
+
+ FullMatrix<double> cell_matrix(dofs_per_cell, dofs_per_cell);
+ std::vector<types::global_dof_index> local_dof_indices(dofs_per_cell);
+
+ typename DoFHandler<dim>::active_cell_iterator cell = dof.begin_active(),
+ endc = dof.end();
+ for (; cell != endc; ++cell)
+ if (cell->is_locally_owned())
+ {
+ cell_matrix = 0;
+ fe_values.reinit(cell);
+
+ const double coefficient =
+ 1. + std::sqrt(static_cast<double>(cell->active_cell_index()));
+
+ for (unsigned int q_point = 0; q_point < n_q_points; ++q_point)
+ for (unsigned int i = 0; i < dofs_per_cell; ++i)
+ {
+ for (unsigned int j = 0; j < dofs_per_cell; ++j)
+ cell_matrix(i, j) += (fe_values.shape_grad(i, q_point) *
+ fe_values.shape_grad(j, q_point)) *
+ coefficient * fe_values.JxW(q_point);
+ }
+
+ cell->get_dof_indices(local_dof_indices);
+ constraints.distribute_local_to_global(cell_matrix,
+ local_dof_indices,
+ sparse_matrix);
+ }
+ }
+ sparse_matrix.compress(VectorOperation::add);
+
+ sparse_matrix.vmult(ref, in);
+ out -= ref;
+ const double diff_norm = out.linfty_norm();
+
+ deallog << "Norm of difference: " << diff_norm << std::endl << std::endl;
+}
+
+
+int
+main(int argc, char **argv)
+{
+ Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+
+ mpi_initlog();
+
+ deallog << std::setprecision(4);
+
+ deallog.push("2d");
+ test<2, 1>();
+ test<2, 2>();
+ deallog.pop();
+
+ deallog.push("3d");
+ test<3, 1>();
+ test<3, 2>();
+ deallog.pop();
+}
projects / dealii.git / commitdiff