LaplaceBeltrami/LaplaceBeltramiOperatorBase.hpp
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| 1 | // This file is part of Bembel, the higher order C++ boundary element library. | ||
| 2 | // | ||
| 3 | // Copyright (C) 2022 see <http://www.bembel.eu> | ||
| 4 | // | ||
| 5 | // It was written as part of a cooperation of J. Doelz, H. Harbrecht, S. Kurz, | ||
| 6 | // M. Multerer, S. Schoeps, and F. Wolf at Technische Universitaet Darmstadt, | ||
| 7 | // Universitaet Basel, and Universita della Svizzera italiana, Lugano. This | ||
| 8 | // source code is subject to the GNU General Public License version 3 and | ||
| 9 | // provided WITHOUT ANY WARRANTY, see <http://www.bembel.eu> for further | ||
| 10 | // information. | ||
| 11 | |||
| 12 | #ifndef BEMBEL_SRC_LAPLACEBELTRAMI_LAPLACEBELTRAMIOPERATORBASE_HPP_ | ||
| 13 | #define BEMBEL_SRC_LAPLACEBELTRAMI_LAPLACEBELTRAMIOPERATORBASE_HPP_ | ||
| 14 | |||
| 15 | namespace Bembel { | ||
| 16 | |||
| 17 | /** | ||
| 18 | * \ingroup LocalOperator | ||
| 19 | * \brief This class is the base for Laplace Beltrami operator | ||
| 20 | */ | ||
| 21 | template <typename Derived> | ||
| 22 | class LaplaceBeltramiOperatorBase : public LocalOperatorBase<Derived> { | ||
| 23 | public: | ||
| 24 | 1 | LaplaceBeltramiOperatorBase() {} | |
| 25 | template <class T> | ||
| 26 | 54 | void evaluateIntegrand_impl(const T &super_space, const SurfacePoint &p1, | |
| 27 | const SurfacePoint &p2, | ||
| 28 | Eigen::MatrixXd *intval) const { | ||
| 29 | // get basic information | ||
| 30 | 54 | const unsigned int elements_per_direction = | |
| 31 | 54 | (1 << super_space.get_refinement_level()); | |
| 32 | 54 | const double h = 1. / ((double)(elements_per_direction)); | |
| 33 | |||
| 34 | // compute surface measures from tangential derivatives | ||
| 35 |
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54 | double x_kappa = p1.segment<3>(6).cross(p1.segment<3>(9)).norm(); |
| 36 | |||
| 37 | // integrand without basis functions | ||
| 38 | 54 | double integrand = x_kappa * p1(2) / (h * h); | |
| 39 | |||
| 40 | 54 | super_space.addScaledSurfaceGradientInteraction(intval, integrand, p1, p2); | |
| 41 | |||
| 42 | 54 | return; | |
| 43 | } | ||
| 44 | }; | ||
| 45 | |||
| 46 | } // namespace Bembel | ||
| 47 | #endif // BEMBEL_SRC_LAPLACEBELTRAMI_LAPLACEBELTRAMIOPERATORBASE_HPP_ | ||
| 48 |