--- /dev/null
+//---------------------------- fe_nothing_04.cc ---------------------------
+// $Id$
+// Version: $Name$
+//
+// Copyright (C) 2009 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.
+//
+//---------------------------- fe_nothing_04.cc ---------------------------
+
+
+// test that FE_Nothing works as intended
+
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <base/quadrature_lib.h>
+#include <fe/fe_nothing.h>
+#include <fe/fe_q.h>
+#include <fe/fe_dgq.h>
+#include <fe/fe_raviart_thomas.h>
+#include <fe/fe_system.h>
+#include <hp/fe_collection.h>
+#include <hp/dof_handler.h>
+#include <grid/tria.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <grid/grid_refinement.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <hp/dof_handler.h>
+#include <hp/fe_values.h>
+
+
+#include <fstream>
+
+
+template <int dim>
+void test ()
+{
+ Triangulation<dim> triangulation;
+ GridGenerator :: hyper_cube (triangulation, -0.5, 0.5);
+ triangulation.refine_global(4);
+
+ hp::FECollection<dim> fe_collection;
+
+ // test the behavior of the FE_Nothing element
+ // in multicomponent systems (for, e.g., solving
+ // Stokes' equations).
+
+ fe_collection.push_back (FESystem<dim>(FE_RaviartThomas<dim>(0), 1,
+ FE_DGQ<dim>(0), 1));
+
+ fe_collection.push_back (FESystem<dim>(FE_Nothing<dim>(dim), 1,
+ FE_Nothing<dim>(), 1));
+
+
+ hp::DoFHandler<dim> dof_handler (triangulation);
+
+ // loop over cells, and set cells
+ // within a circle to be of type
+ // FE_Nothing, while outside the
+ // circle to be of type RT(0)/DG(0)
+
+ typename hp::DoFHandler<dim>::active_cell_iterator
+ cell = dof_handler.begin_active(),
+ endc = dof_handler.end();
+
+ for(; cell != endc; cell++)
+ {
+ Point<dim> center = cell->center();
+ if(std::sqrt(center.square()) < 0.25 )
+ cell->set_active_fe_index(1);
+ else
+ cell->set_active_fe_index(0);
+ }
+
+ // attempt to distribute dofs
+
+ dof_handler.distribute_dofs (fe_collection);
+
+ deallog << " Number of active cells: "
+ << triangulation.n_active_cells()
+ << std::endl
+ << " Number of degrees of freedom: "
+ << dof_handler.n_dofs()
+ << std::endl;
+}
+
+
+
+int main ()
+{
+ std::ofstream logfile("fe_nothing_04/output");
+ logfile.precision(2);
+
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ //test<1> ();
+ test<2> ();
+ test<3> ();
+
+ deallog << "OK" << std::endl;
+}
--- /dev/null
+//---------------------------- fe_nothing_07.cc ---------------------------
+// $Id$
+// Version: $Name$
+//
+// Copyright (C) 2009 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.
+//
+//---------------------------- fe_nothing_07.cc ---------------------------
+
+
+// test that FE_Nothing works as intended
+
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <base/quadrature_lib.h>
+#include <fe/fe_nothing.h>
+#include <fe/fe_q.h>
+#include <hp/fe_collection.h>
+#include <hp/dof_handler.h>
+#include <grid/tria.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <grid/grid_refinement.h>
+#include <dofs/dof_accessor.h>
+#include <dofs/dof_tools.h>
+#include <fe/fe_q.h>
+#include <fe/fe_system.h>
+#include <hp/dof_handler.h>
+#include <hp/fe_values.h>
+#include <lac/constraint_matrix.h>
+
+
+#include <fstream>
+
+ // Create a mesh with hanging
+ // nodes and FEQ/FENothing interfaces
+ // in several admissible configurations
+ // we'd like to check. In 2D the mesh
+ // looks like the following.
+ //
+ // +---------+----+----+
+ // | | 1 | 1 |
+ // | 0 +----+----+
+ // | | 1 | 1 |
+ // +----+----+----+----+
+ // | 0 | 0 | |
+ // +----+----+ 1 |
+ // | 0 | 0 | |
+ // +----+----+---------+
+ //
+ // We then attempt to make hanging node
+ // constraints on this mesh.
+
+template <int dim>
+void test ()
+{
+ Triangulation<dim> triangulation;
+ GridGenerator :: hyper_cube (triangulation, -0.5, 0.5);
+ triangulation.refine_global(1);
+
+ {
+ typename Triangulation<dim> :: active_cell_iterator
+ cell = triangulation.begin_active(),
+ endc = triangulation.end();
+
+ for(; cell != endc; cell++)
+ {
+ Point<dim> center = cell->center();
+
+ if(center[0] < 0)
+ {
+ cell->set_subdomain_id(1);
+ }
+
+ double h=0;
+ for(unsigned d=0; d<dim; ++d) h += center[d];
+
+ if(std::fabs(h) + 1e-6 > 0.25*dim)
+ cell->set_refine_flag();
+ }
+
+ triangulation.execute_coarsening_and_refinement();
+ }
+
+ // create fe_collection and
+ // distribute dofs. in this test,
+ // we are looking at FESystems.
+
+ hp::FECollection<dim> fe_collection;
+
+ fe_collection.push_back (FESystem<dim>(FE_Q<dim>(1), 1,
+ FE_Nothing<dim>(),1));
+
+ fe_collection.push_back (FESystem<dim>(FE_Nothing<dim>(), 1,
+ FE_Q<dim>(1), 1));
+
+ hp::DoFHandler<dim> dof_handler (triangulation);
+
+ // loop over cells, and set cells
+ // within a circle to be of type
+ // FE_Nothing, while outside the
+ // circle to be of type FE_Q(1)
+ {
+ typename hp::DoFHandler<dim>::active_cell_iterator
+ cell = dof_handler.begin_active(),
+ endc = dof_handler.end();
+
+ for(; cell != endc; cell++)
+ {
+ if(cell->subdomain_id()==1 )
+ cell->set_active_fe_index(1);
+ else
+ cell->set_active_fe_index(0);
+ }
+
+ dof_handler.distribute_dofs (fe_collection);
+ }
+
+
+ deallog << " Number of active cells: "
+ << triangulation.n_active_cells()
+ << std::endl
+ << " Number of degrees of freedom: "
+ << dof_handler.n_dofs()
+ << std::endl;
+
+
+ // .... test constraint handling
+
+ ConstraintMatrix constraints;
+
+ DoFTools::make_hanging_node_constraints (dof_handler, constraints);
+
+ constraints.close();
+
+ deallog << " Number of constraints: "
+ << constraints.n_constraints()
+ << std::endl;
+
+}
+
+
+
+int main ()
+{
+ std::ofstream logfile("fe_nothing_07/output");
+ logfile.precision(2);
+
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ deallog << "Try dim == 1" << std::flush << std::endl;
+ test<1> ();
+
+ deallog << "Try dim == 2" << std::flush << std::endl;
+ test<2> ();
+
+ deallog << "Try dim == 3" << std::flush << std::endl;
+ test<3> ();
+
+ deallog << "OK" << std::endl;
+}