From: bangerth Date: Thu, 10 Aug 2006 19:11:09 +0000 (+0000) Subject: Add a new test for interpolation X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=9356d5626e3f6750a8d4ecc9727dd2bfbe9002c8;p=dealii-svn.git Add a new test for interpolation git-svn-id: https://svn.dealii.org/trunk@13635 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/tests/deal.II/Makefile b/tests/deal.II/Makefile index 3250ec9bd3..3fdea2819a 100644 --- a/tests/deal.II/Makefile +++ b/tests/deal.II/Makefile @@ -51,7 +51,7 @@ tests_x = block_matrices \ face_orientations_3d \ mg_dof_handler \ subcelldata \ - interpolate_boundary_values_* \ + interpolate_* \ have_same_coarse_mesh_* \ get_finest_common_cells_* \ project_* diff --git a/tests/deal.II/interpolate_q_01.cc b/tests/deal.II/interpolate_q_01.cc new file mode 100644 index 0000000000..c4739a58e2 --- /dev/null +++ b/tests/deal.II/interpolate_q_01.cc @@ -0,0 +1,117 @@ +//---------------------------- interpolate_q_01.cc --------------------------- +// $Id: interpolate_q_01.cc 12732 2006-03-28 23:15:45Z wolf $ +// Version: $Name$ +// +// Copyright (C) 2006 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. +// +//---------------------------- interpolate_q_01.cc --------------------------- + + +// check that VectorTools::interpolate works for FE_Q(p) elements correctly on +// a uniformly refined mesh for functions of degree q + +#include "../tests.h" +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + + +template +class F : public Function +{ + public: + F (const unsigned int q) : q(q) {} + + virtual double value (const Point &p, + const unsigned int) const + { + double v=0; + for (unsigned int d=0; d +void test () +{ + Triangulation triangulation; + GridGenerator::hyper_cube (triangulation); + triangulation.refine_global (3); + + for (unsigned int p=1; p<7-dim; ++p) + { + FE_Q fe(p); + DoFHandler dof_handler(triangulation); + dof_handler.distribute_dofs (fe); + + Vector interpolant (dof_handler.n_dofs()); + Vector error (triangulation.n_active_cells()); + for (unsigned int q=0; q<=p+2; ++q) + { + // interpolate the function + VectorTools::interpolate (dof_handler, + F (q), + interpolant); + + // then compute the interpolation error + VectorTools::integrate_difference (dof_handler, + interpolant, + F (q), + error, + QGauss(q+2), + VectorTools::L2_norm); + if (q<=p) + Assert (error.l2_norm() < 1e-12*interpolant.l2_norm(), + ExcInternalError()); + + deallog << "FE_Q<" << dim << ">(" << p << "), P_" << q + << ", rel. error=" << error.l2_norm() / interpolant.l2_norm() + << std::endl; + } + } +} + + + +int main () +{ + std::ofstream logfile("interpolate_q_01/output"); + logfile.precision (3); + + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + test<1>(); + test<2>(); + test<3>(); +} + diff --git a/tests/deal.II/interpolate_q_01/cmp/generic b/tests/deal.II/interpolate_q_01/cmp/generic new file mode 100644 index 0000000000..7f0730aef2 --- /dev/null +++ b/tests/deal.II/interpolate_q_01/cmp/generic @@ -0,0 +1,68 @@ + +DEAL::FE_Q<1>(1), P_0, rel. error=0 +DEAL::FE_Q<1>(1), P_1, rel. error=0 +DEAL::FE_Q<1>(1), P_2, rel. error=0.000822 +DEAL::FE_Q<1>(1), P_3, rel. error=0.00179 +DEAL::FE_Q<1>(2), P_0, rel. error=0 +DEAL::FE_Q<1>(2), P_1, rel. error=0 +DEAL::FE_Q<1>(2), P_2, rel. error=0 +DEAL::FE_Q<1>(2), P_3, rel. error=1.32e-05 +DEAL::FE_Q<1>(2), P_4, rel. error=3.70e-05 +DEAL::FE_Q<1>(3), P_0, rel. error=0 +DEAL::FE_Q<1>(3), P_1, rel. error=0 +DEAL::FE_Q<1>(3), P_2, rel. error=0 +DEAL::FE_Q<1>(3), P_3, rel. error=0 +DEAL::FE_Q<1>(3), P_4, rel. error=2.85e-07 +DEAL::FE_Q<1>(3), P_5, rel. error=9.66e-07 +DEAL::FE_Q<1>(4), P_0, rel. error=0 +DEAL::FE_Q<1>(4), P_1, rel. error=0 +DEAL::FE_Q<1>(4), P_2, rel. error=0 +DEAL::FE_Q<1>(4), P_3, rel. error=0 +DEAL::FE_Q<1>(4), P_4, rel. error=0 +DEAL::FE_Q<1>(4), P_5, rel. error=7.18e-09 +DEAL::FE_Q<1>(4), P_6, rel. error=2.85e-08 +DEAL::FE_Q<1>(5), P_0, rel. error=0 +DEAL::FE_Q<1>(5), P_1, rel. error=0 +DEAL::FE_Q<1>(5), P_2, rel. error=0 +DEAL::FE_Q<1>(5), P_3, rel. error=0 +DEAL::FE_Q<1>(5), P_4, rel. error=0 +DEAL::FE_Q<1>(5), P_5, rel. error=0 +DEAL::FE_Q<1>(5), P_6, rel. error=2.02e-10 +DEAL::FE_Q<1>(5), P_7, rel. error=9.20e-10 +DEAL::FE_Q<2>(1), P_0, rel. error=0 +DEAL::FE_Q<2>(1), P_1, rel. error=0 +DEAL::FE_Q<2>(1), P_2, rel. error=0.000278 +DEAL::FE_Q<2>(1), P_3, rel. error=0.000606 +DEAL::FE_Q<2>(2), P_0, rel. error=0 +DEAL::FE_Q<2>(2), P_1, rel. error=0 +DEAL::FE_Q<2>(2), P_2, rel. error=0 +DEAL::FE_Q<2>(2), P_3, rel. error=2.58e-06 +DEAL::FE_Q<2>(2), P_4, rel. error=7.37e-06 +DEAL::FE_Q<2>(3), P_0, rel. error=0 +DEAL::FE_Q<2>(3), P_1, rel. error=0 +DEAL::FE_Q<2>(3), P_2, rel. error=0 +DEAL::FE_Q<2>(3), P_3, rel. error=0 +DEAL::FE_Q<2>(3), P_4, rel. error=5.09e-08 +DEAL::FE_Q<2>(3), P_5, rel. error=1.74e-07 +DEAL::FE_Q<2>(4), P_0, rel. error=0 +DEAL::FE_Q<2>(4), P_1, rel. error=0 +DEAL::FE_Q<2>(4), P_2, rel. error=0 +DEAL::FE_Q<2>(4), P_3, rel. error=0 +DEAL::FE_Q<2>(4), P_4, rel. error=0 +DEAL::FE_Q<2>(4), P_5, rel. error=1.04e-09 +DEAL::FE_Q<2>(4), P_6, rel. error=4.21e-09 +DEAL::FE_Q<3>(1), P_0, rel. error=0 +DEAL::FE_Q<3>(1), P_1, rel. error=0 +DEAL::FE_Q<3>(1), P_2, rel. error=9.31e-05 +DEAL::FE_Q<3>(1), P_3, rel. error=0.000203 +DEAL::FE_Q<3>(2), P_0, rel. error=0 +DEAL::FE_Q<3>(2), P_1, rel. error=0 +DEAL::FE_Q<3>(2), P_2, rel. error=0 +DEAL::FE_Q<3>(2), P_3, rel. error=5.40e-07 +DEAL::FE_Q<3>(2), P_4, rel. error=1.56e-06 +DEAL::FE_Q<3>(3), P_0, rel. error=0 +DEAL::FE_Q<3>(3), P_1, rel. error=0 +DEAL::FE_Q<3>(3), P_2, rel. error=0 +DEAL::FE_Q<3>(3), P_3, rel. error=0 +DEAL::FE_Q<3>(3), P_4, rel. error=9.53e-09 +DEAL::FE_Q<3>(3), P_5, rel. error=3.25e-08