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|---|---|---|---|
| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup EmbeddedTests | ||
| 10 | * \brief Helper functions to compute L2-norm. | ||
| 11 | */ | ||
| 12 | |||
| 13 | #ifndef DUMUX_TEST_L2_NORM_HH | ||
| 14 | #define DUMUX_TEST_L2_NORM_HH | ||
| 15 | |||
| 16 | #include <cmath> | ||
| 17 | #include <type_traits> | ||
| 18 | #include <dune/geometry/quadraturerules.hh> | ||
| 19 | #include <dumux/common/parameters.hh> | ||
| 20 | #include <dumux/discretization/elementsolution.hh> | ||
| 21 | #include <dumux/discretization/evalsolution.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | template<class Scalar> | ||
| 26 | struct L2Norm | ||
| 27 | { | ||
| 28 | //! Calculate the L2-Norm of the solution and hmax of the grid | ||
| 29 | template<class Problem, class Solution> | ||
| 30 | 76 | static Scalar computeErrorNorm(const Problem &problem, const Solution& sol, int order) | |
| 31 | { | ||
| 32 | // calculate the L2-Norm and hmax | ||
| 33 | 76 | Scalar norm = 0.0; | |
| 34 | |||
| 35 | // iterate over all elements | ||
| 36 | 76 | const auto& gg = problem.gridGeometry(); | |
| 37 |
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3725754 | for (const auto& element : elements(gg.gridView())) |
| 38 | { | ||
| 39 | 1863166 | const auto geometry = element.geometry(); | |
| 40 | 1863166 | const auto elemSol = elementSolution(element, sol, gg); | |
| 41 | |||
| 42 | using GridView = std::decay_t<decltype(gg.gridView())>; | ||
| 43 | 3725602 | const auto& quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order); | |
| 44 |
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9315830 | for(auto&& qp : quad) |
| 45 | { | ||
| 46 | 3726332 | const auto globalPos = geometry.global(qp.position()); | |
| 47 |
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1863166 | const Scalar pe = problem.exactSolution(globalPos); |
| 48 |
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1863166 | const Scalar p = evalSolution(element, geometry, gg, elemSol, globalPos)[0]; |
| 49 | 5589498 | norm += (p - pe)*(p - pe)*qp.weight()*geometry.integrationElement(qp.position()); | |
| 50 | } | ||
| 51 | } | ||
| 52 | |||
| 53 | 76 | return std::sqrt(norm); | |
| 54 | } | ||
| 55 | |||
| 56 | template<class Problem> | ||
| 57 | 38 | static Scalar computeNormalization(const Problem &problem, int order) | |
| 58 | { | ||
| 59 | // calculate the L2-Norm of the exact solution vector | ||
| 60 | 38 | Scalar norm = 0.0; | |
| 61 | |||
| 62 | // iterate over all elements | ||
| 63 | 38 | const auto& gg = problem.gridGeometry(); | |
| 64 | 1862877 | for (const auto& element : elements(gg.gridView())) | |
| 65 | { | ||
| 66 | 931583 | const auto geometry = element.geometry(); | |
| 67 | using GridView = std::decay_t<decltype(gg.gridView())>; | ||
| 68 | |||
| 69 | 1862801 | const auto& quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order); | |
| 70 | 4657915 | for (auto&& qp : quad) | |
| 71 | 2794749 | norm += 1.0*qp.weight()*geometry.integrationElement(qp.position()); | |
| 72 | } | ||
| 73 | |||
| 74 | 38 | return norm; | |
| 75 | } | ||
| 76 | }; | ||
| 77 | |||
| 78 | } // end namespace Dumux | ||
| 79 | |||
| 80 | #endif | ||
| 81 |