Shape value and shape gradient tests on a genuine quadrilateral.
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2015 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check the P1NC nonparametric element on a genuine quadrilateral.
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/fe/fe_p1nc.h>
+
+#include <fstream>
+#include <string>
+
+#define PRECISION 5
+
+
+template<int dim>
+Point<dim> bilinear (const Point<dim> &p)
+{
+ Point<dim> q = p ;
+ if (dim>=2)
+ {
+ q(0) = 16.*p(0) +4.*p(1) -10.*p(0)*p(1) ;
+ q(1) = 6.*p(1) +4.*p(0)*p(1) ;
+ }
+
+ return q ;
+}
+
+
+
+template<int dim>
+void
+check()
+{
+ Triangulation<dim> triangulation;
+ GridGenerator::hyper_cube (triangulation, 0., 1.);
+ GridTools::transform (&bilinear<dim>, triangulation) ;
+
+ FE_P1NCNonparametric fe;
+ DoFHandler<dim> dof_handler (triangulation);
+ dof_handler.distribute_dofs(fe);
+
+ QGauss<dim> quadrature(3);
+ FEValues<dim> fe_values (fe, quadrature, update_values | update_q_points);
+ fe_values.reinit (dof_handler.begin_active());
+
+ for (unsigned int q=0; q<quadrature.size(); ++q)
+ {
+ deallog << "index=" << q
+ << " position=" << fe_values.quadrature_point(q)
+ << " values=";
+ for (unsigned int i=0; i<fe.dofs_per_cell; ++i)
+ deallog << fe_values.shape_value(i,q) << ' ';
+ deallog << std::endl;
+ }
+}
+
+int
+main()
+{
+ std::ofstream logfile ("output");
+ deallog << std::setprecision(PRECISION);
+ deallog << std::fixed;
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ check<2>();
+}
+
+
+
--- /dev/null
+
+DEAL::index=0 position=2.12702 0.72702 values=0.64730 0.13333 0.36667 -0.14730
+DEAL::index=1 position=7.88730 0.90161 values=0.44365 0.44365 0.05635 0.05635
+DEAL::index=2 position=13.64758 1.07621 values=0.24000 0.75397 -0.25397 0.26000
+DEAL::index=3 position=3.23972 3.22540 values=0.44365 0.05635 0.44365 0.05635
+DEAL::index=4 position=7.50000 4.00000 values=0.25000 0.25000 0.25000 0.25000
+DEAL::index=5 position=11.76028 4.77460 values=0.05635 0.44365 0.05635 0.44365
+DEAL::index=6 position=4.35242 5.72379 values=0.24000 -0.02063 0.52063 0.26000
+DEAL::index=7 position=7.11270 7.09839 values=0.05635 0.05635 0.44365 0.44365
+DEAL::index=8 position=9.87298 8.47298 values=-0.12730 0.13333 0.36667 0.62730
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2015 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// check the P1NC nonparametric element's gradient on a genuine quadrilateral.
+
+#include "../tests.h"
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/fe/fe_p1nc.h>
+
+#include <fstream>
+#include <string>
+
+#define PRECISION 5
+
+
+template<int dim>
+Point<dim> bilinear (const Point<dim> &p)
+{
+ Point<dim> q = p ;
+ if (dim>=2)
+ {
+ q(0) = 16.*p(0) +4.*p(1) -10.*p(0)*p(1) ;
+ q(1) = 6.*p(1) +4.*p(0)*p(1) ;
+ }
+
+ return q ;
+}
+
+
+
+template<int dim>
+void
+check()
+{
+ Triangulation<dim> triangulation;
+ GridGenerator::hyper_cube (triangulation, 0., 1.);
+ GridTools::transform (&bilinear<dim>, triangulation) ;
+
+ FE_P1NCNonparametric fe;
+ DoFHandler<dim> dof_handler (triangulation);
+ dof_handler.distribute_dofs(fe);
+
+ QGauss<dim> quadrature(3);
+ FEValues<dim> fe_values (fe, quadrature, update_gradients | update_q_points);
+ fe_values.reinit (dof_handler.begin_active());
+
+ for (unsigned int q=0; q<quadrature.size(); ++q)
+ {
+ deallog << "index=" << q
+ << " position=" << fe_values.quadrature_point(q)
+ << " values=";
+ for (unsigned int i=0; i<fe.dofs_per_cell; ++i)
+ deallog << '[' << fe_values.shape_grad(i,q) << "] ";
+ deallog << std::endl;
+ }
+}
+
+int
+main()
+{
+ std::ofstream logfile ("output");
+ deallog << std::setprecision(PRECISION);
+ deallog << std::fixed;
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-10);
+
+ check<2>();
+}
+
+
+
--- /dev/null
+
+DEAL::index=0 position=2.12702 0.72702 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=1 position=7.88730 0.90161 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=2 position=13.64758 1.07621 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=3 position=3.23972 3.22540 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=4 position=7.50000 4.00000 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=5 position=11.76028 4.77460 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=6 position=4.35242 5.72379 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=7 position=7.11270 7.09839 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]
+DEAL::index=8 position=9.87298 8.47298 values=[-0.03333 -0.06667] [0.05556 -0.05556] [-0.05556 0.05556] [0.03333 0.06667]