]> https://gitweb.dealii.org/ - dealii.git/commitdiff
Test case
authorMartin Kronbichler <kronbichler@lnm.mw.tum.de>
Sun, 3 May 2020 09:06:55 +0000 (11:06 +0200)
committerMartin Kronbichler <kronbichler@lnm.mw.tum.de>
Sun, 3 May 2020 09:06:55 +0000 (11:06 +0200)
tests/matrix_free/laplace_operator_03.cc [new file with mode: 0644]
tests/matrix_free/laplace_operator_03.with_trilinos=true.with_mpi=true.with_p4est=true.mpirun=3.output [new file with mode: 0644]

diff --git a/tests/matrix_free/laplace_operator_03.cc b/tests/matrix_free/laplace_operator_03.cc
new file mode 100644 (file)
index 0000000..ef666ea
--- /dev/null
@@ -0,0 +1,236 @@
+// ---------------------------------------------------------------------
+//
+// 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();
+}
diff --git a/tests/matrix_free/laplace_operator_03.with_trilinos=true.with_mpi=true.with_p4est=true.mpirun=3.output b/tests/matrix_free/laplace_operator_03.with_trilinos=true.with_mpi=true.with_p4est=true.mpirun=3.output
new file mode 100644 (file)
index 0000000..8099ecc
--- /dev/null
@@ -0,0 +1,13 @@
+
+DEAL:2d::Testing FE_Q<2>(1)
+DEAL:2d::Norm of difference: 2.593e-13
+DEAL:2d::
+DEAL:2d::Testing FE_Q<2>(2)
+DEAL:2d::Norm of difference: 4.974e-14
+DEAL:2d::
+DEAL:3d::Testing FE_Q<3>(1)
+DEAL:3d::Norm of difference: 3.553e-15
+DEAL:3d::
+DEAL:3d::Testing FE_Q<3>(2)
+DEAL:3d::Norm of difference: 4.885e-15
+DEAL:3d::

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