]> https://gitweb.dealii.org/ - dealii.git/commitdiff
Add tests for MatrixCreator functions and the Kelly error estimator.
authorWolfgang Bangerth <bangerth@math.tamu.edu>
Mon, 9 Apr 2001 09:44:29 +0000 (09:44 +0000)
committerWolfgang Bangerth <bangerth@math.tamu.edu>
Mon, 9 Apr 2001 09:44:29 +0000 (09:44 +0000)
git-svn-id: https://svn.dealii.org/trunk@4405 0785d39b-7218-0410-832d-ea1e28bc413d

tests/deal.II/Makefile.in
tests/deal.II/error_estimator.cc [new file with mode: 0644]
tests/deal.II/error_estimator.checked [new file with mode: 0644]
tests/deal.II/matrices.cc [new file with mode: 0644]
tests/deal.II/matrices.checked [new file with mode: 0644]

index 14cd8eea2c16097e323d3fb211332ca8e99fb8a3..8da7c4fd3e16e2af862dbe46f021179ab2861d6a 100644 (file)
@@ -68,7 +68,8 @@ all: grid_test.check dof_test.check data_out.check \
      derivatives.check gradients.check \
      constraints.check mg.check mglocal.check \
      block_matrices.check second_derivatives.check \
-     derivative_approximation.check \
+     derivative_approximation.check matrices-check \
+     error_estimator.check \
      intergrid_constraints.check intergrid_map.check wave-test-3.check
 
 exe: $(all:.check=.testcase) benchmark
@@ -176,6 +177,34 @@ derivative_approximation.testcase: $(derivative_approximation-o-files) $(libdeal
 
 ############################################################
 
+error_estimator-cc-files = error_estimator.cc 
+
+ifeq ($(debug-mode),on)
+error_estimator-o-files = $(error_estimator-cc-files:.cc=.go)
+else
+error_estimator-o-files = $(error_estimator-cc-files:.cc=.o)
+endif
+
+error_estimator.testcase: $(error_estimator-o-files) $(libdeal1d) $(libdeal3d) $(libraries)
+       @echo =====linking======= $<
+       @$(CXX) $(LDFLAGS) -g  -o $@ $^ $(LIBS)
+
+############################################################
+
+matrices-cc-files = matrices.cc 
+
+ifeq ($(debug-mode),on)
+matrices-o-files = $(matrices-cc-files:.cc=.go)
+else
+matrices-o-files = $(matrices-cc-files:.cc=.o)
+endif
+
+matrices.testcase: $(matrices-o-files) $(libdeal1d) $(libdeal3d) $(libraries)
+       @echo =====linking======= $<
+       @$(CXX) $(LDFLAGS) -g  -o $@ $^ $(LIBS)
+
+############################################################
+
 gradients-cc-files = gradients.cc 
 
 ifeq ($(debug-mode),on)
diff --git a/tests/deal.II/error_estimator.cc b/tests/deal.II/error_estimator.cc
new file mode 100644 (file)
index 0000000..67874c0
--- /dev/null
@@ -0,0 +1,130 @@
+//----------------------------  derivative_approximation.cc  ---------------------------
+//    $Id$
+//    Version: $Name$
+//
+//    Copyright (C) 2000, 2001 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.
+//
+//----------------------------  derivative_approximation.cc  ---------------------------
+
+
+/* Author: Wolfgang Bangerth, University of Heidelberg, 2001 */
+
+
+
+#include <base/logstream.h>
+#include <base/function_lib.h>
+#include <base/quadrature_lib.h>
+#include <lac/vector.h>
+#include <grid/tria.h>
+#include <grid/tria_iterator.h>
+#include <grid/tria_accessor.h>
+#include <grid/grid_generator.h>
+#include <dofs/dof_handler.h>
+#include <fe/fe_q.h>
+#include <fe/mapping_q.h>
+#include <numerics/vectors.h>
+#include <numerics/error_estimator.h>
+
+#include <fstream>
+
+
+template<int dim>
+class MySquareFunction : public Function<dim>
+{
+  public:
+    MySquareFunction () : Function<dim>(2) {};
+    
+    virtual double value (const Point<dim>   &p,
+                         const unsigned int  component) const
+      {        return (component+1)*p.square(); };
+    
+    virtual void   vector_value (const Point<dim>   &p,
+                                Vector<double>     &values) const
+      { values(0) = value(p,0);
+       values(1) = value(p,1); };
+};
+
+
+
+template <int dim>
+Quadrature<dim-1> &
+get_q_face (Function<dim>&)
+{
+  static QGauss4<dim-1> q;
+  return q;
+};
+
+
+Quadrature<0> &
+get_q_face (Function<1>&)
+{
+  return *static_cast<Quadrature<0>*>(0);
+};
+
+
+
+
+template <int dim>
+void
+check ()
+{
+  CosineFunction<dim> function;
+  
+  Triangulation<dim> tr;  
+  if (dim==2)
+    GridGenerator::hyper_ball(tr);
+  else
+    GridGenerator::hyper_cube(tr, -1,1);
+  tr.refine_global (1);
+  tr.begin_active()->set_refine_flag ();
+  tr.execute_coarsening_and_refinement ();
+  if (dim==1)
+    tr.refine_global(2);
+  
+  FE_Q<dim> element(3);
+  DoFHandler<dim> dof(tr);
+  dof.distribute_dofs(element);
+
+  MappingQ<dim> mapping(3);
+  Quadrature<dim-1> &q_face = get_q_face(function);
+
+  std::map<unsigned char,const Function<dim>*> neumann_bc;
+  neumann_bc[0] = &function;
+  
+  Vector<double> v (dof.n_dofs());
+  VectorTools::interpolate (mapping, dof, function, v);
+
+  Vector<float> error (tr.n_active_cells());
+
+  KellyErrorEstimator<dim>::estimate (mapping, dof, q_face, neumann_bc,
+                                     v, error);
+
+  deallog << "Estimated error:" << std::endl;
+  for (unsigned int i=0; i<error.size(); ++i)
+    deallog << error(i)*100 << std::endl;
+}
+
+
+int main ()
+{
+  ofstream logfile ("error_estimator.output");
+  logfile.precision (2);
+  logfile.setf(ios::fixed);  
+  deallog.attach(logfile);
+  deallog.depth_console (0);
+
+  deallog.push ("1d");
+  check<1> ();
+  deallog.pop ();
+  deallog.push ("2d");
+  check<2> ();
+  deallog.pop ();
+  deallog.push ("3d");
+  check<3> ();
+  deallog.pop ();
+}
diff --git a/tests/deal.II/error_estimator.checked b/tests/deal.II/error_estimator.checked
new file mode 100644 (file)
index 0000000..cf5a89a
--- /dev/null
@@ -0,0 +1,54 @@
+
+DEAL:1d::Estimated error:
+DEAL:1d::0.09
+DEAL:1d::0.10
+DEAL:1d::0.07
+DEAL:1d::78.55
+DEAL:1d::55.54
+DEAL:1d::0.00
+DEAL:1d::0.01
+DEAL:1d::0.01
+DEAL:1d::0.01
+DEAL:1d::0.01
+DEAL:1d::0.01
+DEAL:1d::0.04
+DEAL:2d::Estimated error:
+DEAL:2d::22.48
+DEAL:2d::0.08
+DEAL:2d::0.08
+DEAL:2d::22.48
+DEAL:2d::0.08
+DEAL:2d::0.08
+DEAL:2d::22.48
+DEAL:2d::0.04
+DEAL:2d::0.04
+DEAL:2d::0.04
+DEAL:2d::0.04
+DEAL:2d::22.48
+DEAL:2d::22.48
+DEAL:2d::0.08
+DEAL:2d::0.08
+DEAL:2d::22.48
+DEAL:2d::0.08
+DEAL:2d::0.08
+DEAL:2d::22.48
+DEAL:2d::9.80
+DEAL:2d::12.96
+DEAL:2d::0.02
+DEAL:2d::0.04
+DEAL:3d::Estimated error:
+DEAL:3d::37.39
+DEAL:3d::37.41
+DEAL:3d::37.39
+DEAL:3d::37.39
+DEAL:3d::37.41
+DEAL:3d::37.41
+DEAL:3d::37.41
+DEAL:3d::4.70
+DEAL:3d::8.15
+DEAL:3d::12.23
+DEAL:3d::8.15
+DEAL:3d::8.15
+DEAL:3d::12.23
+DEAL:3d::0.70
+DEAL:3d::12.23
diff --git a/tests/deal.II/matrices.cc b/tests/deal.II/matrices.cc
new file mode 100644 (file)
index 0000000..82d4292
--- /dev/null
@@ -0,0 +1,219 @@
+//----------------------------  derivative_approximation.cc  ---------------------------
+//    $Id$
+//    Version: $Name$
+//
+//    Copyright (C) 2000, 2001 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.
+//
+//----------------------------  derivative_approximation.cc  ---------------------------
+
+
+/* Author: Wolfgang Bangerth, University of Heidelberg, 2001 */
+
+
+
+#include <base/quadrature_lib.h>
+#include <base/logstream.h>
+#include <base/function_lib.h>
+#include <lac/sparse_matrix.h>
+#include <lac/vector.h>
+#include <grid/tria.h>
+#include <grid/tria_iterator.h>
+#include <grid/tria_accessor.h>
+#include <grid/grid_generator.h>
+#include <dofs/dof_handler.h>
+#include <dofs/dof_tools.h>
+#include <dofs/dof_constraints.h>
+#include <fe/fe_q.h>
+#include <fe/fe_system.h>
+#include <fe/mapping_q.h>
+#include <numerics/matrices.h>
+
+#include <fstream>
+
+
+template<int dim>
+class MySquareFunction : public Function<dim>
+{
+  public:
+    MySquareFunction () : Function<dim>(2) {};
+    
+    virtual double value (const Point<dim>   &p,
+                         const unsigned int  component) const
+      {        return (component+1)*p.square(); };
+    
+    virtual void   vector_value (const Point<dim>   &p,
+                                Vector<double>     &values) const
+      { values(0) = value(p,0);
+       values(1) = value(p,1); };
+};
+
+
+
+
+template <int dim>
+void
+check_boundary (const DoFHandler<dim> &dof,
+               const Mapping<dim>    &mapping)
+{
+  MySquareFunction<dim> coefficient;
+  typename MatrixTools<dim>::FunctionMap function_map;
+  function_map[0] = &coefficient;
+
+  QGauss6<dim-1> face_quadrature;
+  
+  std::vector<unsigned int> dof_to_boundary_mapping;
+  DoFTools::map_dof_to_boundary_indices (dof,
+                                        dof_to_boundary_mapping);
+
+  SparsityPattern sparsity(dof.n_boundary_dofs(function_map),
+                          dof.max_couplings_between_boundary_dofs());
+  DoFTools::make_boundary_sparsity_pattern (dof,
+                                           function_map,
+                                           dof_to_boundary_mapping,
+                                           sparsity);
+  sparsity.compress ();
+
+  SparseMatrix<double> matrix;
+  matrix.reinit (sparsity);
+  
+  Vector<double> rhs (dof.n_boundary_dofs(function_map));
+  MatrixTools<dim>::
+    create_boundary_mass_matrix (mapping, dof,
+                                face_quadrature, matrix,
+                                function_map, rhs,
+                                dof_to_boundary_mapping,
+                                &coefficient);
+
+                                  // since we only generate
+                                  // output with two digits after
+                                  // the dot, and since matrix
+                                  // entries are usually in the
+                                  // range of 1 or below,
+                                  // multiply matrix by 100 to
+                                  // make test more sensitive
+  for (unsigned int i=0; i<matrix.n_nonzero_elements(); ++i)
+    matrix.global_entry(i) *= 100;
+  
+                                  // finally write out matrix
+  matrix.print (deallog.get_file_stream());
+};
+
+
+
+void
+check_boundary (const DoFHandler<1> &,
+               const Mapping<1>    &)
+{};
+
+
+
+
+template <int dim>
+void
+check ()
+{
+  Triangulation<dim> tr;  
+  if (dim==2)
+    GridGenerator::hyper_ball(tr);
+  else
+    GridGenerator::hyper_cube(tr, -1,1);
+  tr.refine_global (1);
+  tr.begin_active()->set_refine_flag ();
+  tr.execute_coarsening_and_refinement ();
+  if (dim==1)
+    tr.refine_global(2);
+
+                                  // create a system element composed
+                                  // of one Q1 and one Q2 element
+  FESystem<dim> element(FE_Q<dim>(1), 1,
+                       FE_Q<dim>(2), 1);
+  DoFHandler<dim> dof(tr);
+  dof.distribute_dofs(element);
+
+                                  // use a more complicated mapping
+                                  // of the domain and a quadrature
+                                  // formula suited to the elements
+                                  // we have here
+  MappingQ<dim> mapping (3);
+  QGauss6<dim> quadrature;
+
+                                  // create sparsity pattern. note
+                                  // that different components should
+                                  // not couple, so use pattern
+  SparsityPattern sparsity (dof.n_dofs(), dof.n_dofs());
+  std::vector<std::vector<bool> > mask (2, std::vector<bool>(2, false));
+  mask[0][0] = mask[1][1] = true;
+  DoFTools::make_sparsity_pattern (dof, mask, sparsity);
+  ConstraintMatrix constraints;
+  DoFTools::make_hanging_node_constraints (dof, constraints);
+  constraints.close ();
+  constraints.condense (sparsity);
+  sparsity.compress ();
+  
+  SparseMatrix<double> matrix;
+
+  ExpFunction<dim> coefficient;
+  
+  typename MatrixTools<dim>::FunctionMap function_map;
+  function_map[0] = &coefficient;
+
+  for (unsigned int test=0; test<2; ++test)
+    {
+      matrix.reinit(sparsity);
+      switch (test)
+       {
+         case 0:
+               MatrixTools<dim>::
+                 create_mass_matrix (mapping, dof,
+                                     quadrature, matrix, &coefficient);
+               break;
+         case 1:
+               MatrixTools<dim>::
+                 create_laplace_matrix (mapping, dof,
+                                        quadrature, matrix, &coefficient);
+               break;
+         default:
+               Assert (false, ExcInternalError());
+       };
+
+                                      // since we only generate
+                                      // output with two digits after
+                                      // the dot, and since matrix
+                                      // entries are usually in the
+                                      // range of 1 or below,
+                                      // multiply matrix by 100 to
+                                      // make test more sensitive
+      for (unsigned int i=0; i<matrix.n_nonzero_elements(); ++i)
+       deallog.get_file_stream() << matrix.global_entry(i) * 100
+                                 << std::endl;
+    };
+
+//    if (dim > 1)
+//      check_boundary (dof, mapping);
+};
+
+
+
+int main ()
+{
+  ofstream logfile ("matrices.output");
+  logfile.precision (2);
+  logfile.setf(ios::fixed);  
+  deallog.attach(logfile);
+  deallog.depth_console (0);
+
+  deallog.push ("1d");
+  check<1> ();
+  deallog.pop ();
+  deallog.push ("2d");
+  check<2> ();
+  deallog.pop ();
+  deallog.push ("3d");
+  check<3> ();
+  deallog.pop ();
+}
diff --git a/tests/deal.II/matrices.checked b/tests/deal.II/matrices.checked
new file mode 100644 (file)
index 0000000..0bfffa3
--- /dev/null
@@ -0,0 +1,26839 @@
+
+12.92
+4.73
+1.96
+5.08
+-0.95
+1.66
+-0.39
+0.83
+21.47
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