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Support MappingCartesian in FEPointEvaluation
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| // --------------------------------------------------------------------- | ||
| // | ||
| // 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. | ||
| // | ||
| // --------------------------------------------------------------------- | ||
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| // Check FEPointEvaluation for vector-valued FE_Q and MappingCartesian by | ||
| // comparing to the output of FEValues with the same settings. | ||
| // This is a modified version of point_evaluation_03.cc. | ||
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| #include <deal.II/base/function_lib.h> | ||
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| #include <deal.II/dofs/dof_handler.h> | ||
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| #include <deal.II/fe/fe_q.h> | ||
| #include <deal.II/fe/fe_system.h> | ||
| #include <deal.II/fe/fe_values.h> | ||
| #include <deal.II/fe/mapping_cartesian.h> | ||
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| #include <deal.II/grid/grid_generator.h> | ||
| #include <deal.II/grid/tria.h> | ||
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| #include <deal.II/lac/vector.h> | ||
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| #include <deal.II/matrix_free/fe_point_evaluation.h> | ||
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| #include <deal.II/numerics/vector_tools.h> | ||
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| #include <iostream> | ||
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| #include "../tests.h" | ||
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| template <int dim> | ||
| class MyFunction : public Function<dim> | ||
| { | ||
| public: | ||
| MyFunction() | ||
| : Function<dim>(dim) | ||
| {} | ||
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| double | ||
| value(const Point<dim> &p, const unsigned int component) const override | ||
| { | ||
| return component + p[component]; | ||
| } | ||
| }; | ||
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| template <int dim> | ||
| void | ||
| test() | ||
| { | ||
| using namespace dealii; | ||
| Triangulation<dim> tria; | ||
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| GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1); | ||
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| MappingCartesian<dim> mapping; | ||
| deallog << "Cartesian linear mapping" << std::endl; | ||
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| std::vector<Point<dim>> unit_points; | ||
| for (unsigned int i = 0; i < 13; ++i) | ||
| { | ||
| Point<dim> p; | ||
| for (unsigned int d = 0; d < dim; ++d) | ||
| p[d] = static_cast<double>(i) / 17. + 0.015625 * d; | ||
| unit_points.push_back(p); | ||
| } | ||
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| FESystem<dim> fe(FE_Q<dim>(2), dim); | ||
| FEValues<dim> fe_values(mapping, | ||
| fe, | ||
| Quadrature<dim>(unit_points), | ||
| update_values | update_gradients); | ||
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| DoFHandler<dim> dof_handler(tria); | ||
| dof_handler.distribute_dofs(fe); | ||
| Vector<double> vector(dof_handler.n_dofs()); | ||
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| FEPointEvaluation<dim, dim> evaluator(mapping, | ||
| fe, | ||
| update_values | update_gradients); | ||
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| VectorTools::interpolate(mapping, dof_handler, MyFunction<dim>(), vector); | ||
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| std::vector<double> solution_values(fe.dofs_per_cell); | ||
| std::vector<Tensor<1, dim>> function_values(unit_points.size()); | ||
| std::vector<Tensor<2, dim>> function_gradients(unit_points.size()); | ||
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| FEValuesExtractors::Vector extractor(0); | ||
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| for (const auto &cell : dof_handler.active_cell_iterators()) | ||
| { | ||
| fe_values.reinit(cell); | ||
| fe_values[extractor].get_function_values(vector, function_values); | ||
| fe_values[extractor].get_function_gradients(vector, function_gradients); | ||
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| cell->get_dof_values(vector, | ||
| solution_values.begin(), | ||
| solution_values.end()); | ||
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| evaluator.reinit(cell, unit_points); | ||
| evaluator.evaluate(solution_values, | ||
| EvaluationFlags::values | EvaluationFlags::gradients); | ||
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| deallog << "Cell with center " << cell->center(true) << std::endl; | ||
| for (unsigned int i = 0; i < function_values.size(); ++i) | ||
| deallog << mapping.transform_unit_to_real_cell(cell, unit_points[i]) | ||
| << ": " << evaluator.get_value(i) << " error value " | ||
| << (function_values[i] - evaluator.get_value(i)).norm() | ||
| << " error grad " | ||
| << (evaluator.get_gradient(i) - function_gradients[i]).norm() | ||
| << std::endl; | ||
| deallog << std::endl; | ||
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| for (unsigned int i = 0; i < unit_points.size(); ++i) | ||
| { | ||
| evaluator.submit_value(evaluator.get_value(i), i); | ||
| evaluator.submit_gradient(evaluator.get_gradient(i), i); | ||
| } | ||
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| evaluator.integrate(solution_values, | ||
| EvaluationFlags::values | EvaluationFlags::gradients); | ||
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| for (const auto i : solution_values) | ||
| deallog << i << " "; | ||
| deallog << std::endl; | ||
| } | ||
| } | ||
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| int | ||
| main() | ||
| { | ||
| initlog(); | ||
| deallog << std::setprecision(10); | ||
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| test<2>(); | ||
| test<3>(); | ||
| } |
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