From: Peter Munch Date: Sun, 7 Nov 2021 08:27:28 +0000 (+0100) Subject: Enabel FETools::get_projection_matrix() for multiple components X-Git-Tag: v9.4.0-rc1~850^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=c3765195dfa96f6e9e527377c35ded88a3d9002d;p=dealii.git Enabel FETools::get_projection_matrix() for multiple components --- diff --git a/include/deal.II/fe/fe_tools.templates.h b/include/deal.II/fe/fe_tools.templates.h index 03fccbee81..c8f7678dc6 100644 --- a/include/deal.II/fe/fe_tools.templates.h +++ b/include/deal.II/fe/fe_tools.templates.h @@ -1454,19 +1454,19 @@ namespace FETools const FiniteElement &fe2, FullMatrix & matrix) { - Assert(fe1.n_components() == 1, ExcNotImplemented()); - Assert(fe1.n_components() == fe2.n_components(), - ExcDimensionMismatch(fe1.n_components(), fe2.n_components())); Assert(matrix.m() == fe2.n_dofs_per_cell() && matrix.n() == fe1.n_dofs_per_cell(), ExcMatrixDimensionMismatch(matrix.m(), matrix.n(), fe2.n_dofs_per_cell(), fe1.n_dofs_per_cell())); + AssertDimension(fe1.n_components(), fe2.n_components()); + matrix = 0; const unsigned int n1 = fe1.n_dofs_per_cell(); const unsigned int n2 = fe2.n_dofs_per_cell(); + const unsigned int nd = fe1.n_components(); const ReferenceCell reference_cell = fe1.reference_cell(); @@ -1486,6 +1486,8 @@ namespace FETools const auto quadrature = reference_cell.get_gauss_type_quadrature(degree + 1); + const unsigned int nq = quadrature.size(); + // Set up FEValues. const UpdateFlags flags = update_values | update_quadrature_points | update_JxW_values; @@ -1498,16 +1500,13 @@ namespace FETools // Integrate and invert mass matrix. This happens in the target space FullMatrix mass(n2, n2); - for (unsigned int k = 0; k < quadrature.size(); ++k) - { - const double dx = val2.JxW(k); - for (unsigned int i = 0; i < n2; ++i) - { - const double v = val2.shape_value(i, k); - for (unsigned int j = 0; j < n2; ++j) - mass(i, j) += v * val2.shape_value(j, k) * dx; - } - } + for (unsigned int i = 0; i < n2; ++i) + for (unsigned int j = 0; j < n2; ++j) + for (unsigned int d = 0; d < nd; ++d) + for (unsigned int k = 0; k < nq; ++k) + mass(i, j) += val2.JxW(k) * val2.shape_value_component(i, k, d) * + val2.shape_value_component(j, k, d); + // Invert the matrix. Gauss-Jordan should be sufficient since we expect // the mass matrix to be well-conditioned mass.gauss_jordan(); @@ -1522,12 +1521,9 @@ namespace FETools b = 0.; for (unsigned int i = 0; i < n2; ++i) for (unsigned int k = 0; k < quadrature.size(); ++k) - { - const double dx = val2.JxW(k); - const double u = val1.shape_value(j, k); - const double v = val2.shape_value(i, k); - b(i) += u * v * dx; - } + for (unsigned int d = 0; d < nd; ++d) + b(i) += val1.shape_value_component(j, k, d) * + val2.shape_value_component(i, k, d) * val2.JxW(k); // Multiply by the inverse mass.vmult(x, b); diff --git a/tests/fe/get_projection_matrix_fe_system_01.cc b/tests/fe/get_projection_matrix_fe_system_01.cc new file mode 100644 index 0000000000..f32e0402dd --- /dev/null +++ b/tests/fe/get_projection_matrix_fe_system_01.cc @@ -0,0 +1,113 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2021 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.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +// Test FETools::get_projection_matrix() for FESystem, FE_RaviartThomas, +// and FE_Nedelec. + +#include +#include +#include +#include +#include +#include +#include + +#include + +#include "../tests.h" + +template +void +test(const FiniteElement &fe_0, + const FiniteElement &fe_1, + const bool do_scalar_test) +{ + { + FullMatrix matrix(fe_1.n_dofs_per_cell(), fe_0.n_dofs_per_cell()); + FETools::get_projection_matrix(fe_0, fe_1, matrix); + matrix.print_formatted(deallog.get_file_stream(), 8, false, 5, "0"); + deallog << std::endl; + + if (do_scalar_test) + { + FullMatrix matrix_1(fe_1.base_element(0).n_dofs_per_cell(), + fe_0.base_element(0).n_dofs_per_cell()); + FETools::get_projection_matrix(fe_0.base_element(0), + fe_1.base_element(0), + matrix_1); + + for (unsigned i = 0; i < matrix.m(); ++i) + for (unsigned j = 0; j < matrix.n(); ++j) + { + const auto component_index_i = fe_1.system_to_component_index(i); + const auto component_index_j = fe_0.system_to_component_index(j); + + if (component_index_i.first != component_index_j.first) + { + Assert(std::abs(matrix[i][j]) < 1e-8, ExcInternalError()); + } + else + { + Assert(std::abs(matrix[i][j] - + matrix_1[component_index_i.second] + [component_index_j.second]) < 1e-8, + ExcInternalError()); + } + } + } + } +} + + +template +void +test(const unsigned int fe_degree_0, const unsigned int fe_degree_1) +{ + test(FESystem(FE_Q(fe_degree_0), dim), + FESystem(FE_Q(fe_degree_1), dim), + true); + test(FESystem(FE_Q(fe_degree_1), dim), + FESystem(FE_Q(fe_degree_0), dim), + true); + + test(FE_RaviartThomas(fe_degree_0), + FE_RaviartThomas(fe_degree_1), + false); + test(FE_RaviartThomas(fe_degree_1), + FE_RaviartThomas(fe_degree_0), + false); + + test(FE_RaviartThomasNodal(fe_degree_0), + FE_RaviartThomas(fe_degree_1), + false); + test(FE_RaviartThomasNodal(fe_degree_1), + FE_RaviartThomas(fe_degree_0), + false); + + test(FE_Nedelec(fe_degree_0), FE_Nedelec(fe_degree_1), false); + test(FE_Nedelec(fe_degree_1), FE_Nedelec(fe_degree_0), false); +} + + +int +main() +{ + initlog(); + + for (unsigned int i = 1; i <= 3; ++i) + for (unsigned int j = i + i; j <= 3; ++j) + test<2>(i, j); +} diff --git a/tests/fe/get_projection_matrix_fe_system_01.output b/tests/fe/get_projection_matrix_fe_system_01.output new file mode 100644 index 0000000000..19c2f2d36c --- /dev/null +++ b/tests/fe/get_projection_matrix_fe_system_01.output @@ -0,0 +1,347 @@ + +1.00000000 0 0.00000000 0 0.00000000 0 0.00000000 0 +0 1.00000000 0 0.00000000 0 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