add tests for mumps

git-svn-id: https://svn.dealii.org/trunk@31795 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/tests/mumps/CMakeLists.txt b/tests/mumps/CMakeLists.txt
new file mode 100644 (file)
index 0000000..73e46fe
--- /dev/null
+++ b/tests/mumps/CMakeLists.txt
@@ -0,0 +1,7 @@
+CMAKE_MINIMUM_REQUIRED(VERSION 2.8.8)
+INCLUDE(${DEAL_II_SOURCE_DIR}/cmake/setup_testsubproject.cmake)
+PROJECT(testsuite CXX)
+INCLUDE(${DEAL_II_TARGET_CONFIG})
+IF(DEAL_II_WITH_MUMPS)
+  DEAL_II_PICKUP_TESTS()
+ENDIF()

diff --git a/tests/mumps/mumps_01.cc b/tests/mumps/mumps_01.cc
new file mode 100644 (file)
index 0000000..fdb70ad
--- /dev/null
+++ b/tests/mumps/mumps_01.cc
@@ -0,0 +1,125 @@
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2002 - 2013 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 at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// test the mumps sparse direct solver on a mass matrix
+// - check solving multiple times with one factorization
+// - check two ways to initialize matrix
+
+#include "../tests.h"
+#include <iostream>
+#include <fstream>
+#include <cstdlib>
+
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/base/function.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/lac/sparse_matrix.h>
+#include <deal.II/lac/sparsity_pattern.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/lac/sparse_direct.h>
+
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/matrix_tools.h>
+
+
+template <int dim>
+void test ()
+{
+  deallog << dim << 'd' << std::endl;
+
+  Triangulation<dim> tria;
+  GridGenerator::hyper_cube (tria,0,1);
+  tria.refine_global (1);
+
+  // destroy the uniformity of the matrix by
+  // refining one cell
+  tria.begin_active()->set_refine_flag ();
+  tria.execute_coarsening_and_refinement ();
+  tria.refine_global(8-2*dim);
+
+  FE_Q<dim> fe (1);
+  DoFHandler<dim> dof_handler (tria);
+  dof_handler.distribute_dofs (fe);
+
+  deallog << "Number of dofs = " << dof_handler.n_dofs() << std::endl;
+
+  SparsityPattern sparsity_pattern;
+  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);
+  sparsity_pattern.compress ();
+
+  SparseMatrix<double> B;
+  B.reinit (sparsity_pattern);
+
+  QGauss<dim> qr (2);
+  MatrixTools::create_mass_matrix (dof_handler, qr, B);
+
+  // compute a decomposition of the matrix
+  SparseDirectMUMPS Binv;
+  Binv.initialize (B);
+
+  // for a number of different solution
+  // vectors, make up a matching rhs vector
+  // and check what the solver finds
+  for (unsigned int i=0; i<3; ++i)
+    {
+      Vector<double> solution (dof_handler.n_dofs());
+      Vector<double> x (dof_handler.n_dofs());
+      Vector<double> b (dof_handler.n_dofs());
+
+      for (unsigned int j=0; j<dof_handler.n_dofs(); ++j)
+        solution(j) = j+j*(i+1)*(i+1);
+
+      B.vmult (b, solution);
+
+      x = b;
+      Binv.solve (x);
+
+      x -= solution;
+      deallog << "relative norm distance = "
+              << x.l2_norm() / solution.l2_norm()
+              << std::endl;
+      deallog << "absolute norms = "
+              << x.l2_norm() << ' ' << solution.l2_norm()
+              << std::endl;
+      Assert (x.l2_norm() / solution.l2_norm() < 1e-8,
+              ExcInternalError());
+    }
+}
+
+
+int main ()
+{
+  std::ofstream logfile("output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-9);
+
+  test<1> ();
+  test<2> ();
+  test<3> ();
+}

diff --git a/tests/mumps/mumps_01.output b/tests/mumps/mumps_01.output
new file mode 100644 (file)
index 0000000..5cbb5f8
--- /dev/null
+++ b/tests/mumps/mumps_01.output
@@ -0,0 +1,49 @@
+
+DEAL::1d
+DEAL::Number of dofs = 193
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 3084.00
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 7709.99
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 15420.0
+DEAL::2d
+DEAL::Number of dofs = 1889
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 94764.3
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 236911.
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 473822.
+DEAL::3d
+DEAL::Number of dofs = 1333
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 56165.6
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 140414.
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 280828.
+DEAL::1d
+DEAL::Number of dofs = 193
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 3084.00
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 7709.99
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 15420.0
+DEAL::2d
+DEAL::Number of dofs = 1889
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 94764.3
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 236911.
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 473822.
+DEAL::3d
+DEAL::Number of dofs = 1333
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 56165.6
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 140414.
+DEAL::relative norm distance = 0
+DEAL::absolute norms = 0 280828.