]> https://gitweb.dealii.org/ - dealii.git/commitdiff
Add tests for the P1 nonconforming nonparametric element.
authorJaeryun Yim <jaeryun.yim@gmail.com>
Wed, 13 Jan 2016 09:01:22 +0000 (18:01 +0900)
committerJaeryun Yim <jaeryun.yim@gmail.com>
Fri, 16 Sep 2016 12:07:23 +0000 (21:07 +0900)
Shape value and shape gradient tests on a genuine quadrilateral.

tests/fe/p1nc_nonparametric_04.cc [new file with mode: 0644]
tests/fe/p1nc_nonparametric_04.output [new file with mode: 0644]
tests/fe/p1nc_nonparametric_08.cc [new file with mode: 0644]
tests/fe/p1nc_nonparametric_08.output [new file with mode: 0644]

diff --git a/tests/fe/p1nc_nonparametric_04.cc b/tests/fe/p1nc_nonparametric_04.cc
new file mode 100644 (file)
index 0000000..f6bcdc6
--- /dev/null
@@ -0,0 +1,93 @@
+// ---------------------------------------------------------------------
+//
+// 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>();
+}
+
+
+
diff --git a/tests/fe/p1nc_nonparametric_04.output b/tests/fe/p1nc_nonparametric_04.output
new file mode 100644 (file)
index 0000000..e0a8158
--- /dev/null
@@ -0,0 +1,10 @@
+
+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 
diff --git a/tests/fe/p1nc_nonparametric_08.cc b/tests/fe/p1nc_nonparametric_08.cc
new file mode 100644 (file)
index 0000000..4a43377
--- /dev/null
@@ -0,0 +1,93 @@
+// ---------------------------------------------------------------------
+//
+// 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>();
+}
+
+
+
diff --git a/tests/fe/p1nc_nonparametric_08.output b/tests/fe/p1nc_nonparametric_08.output
new file mode 100644 (file)
index 0000000..5ce91a6
--- /dev/null
@@ -0,0 +1,10 @@
+
+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] 

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