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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 | #ifndef BEMBEL_SRC_LINEARFORM_TANGENTIALTRACE_HPP_ | ||
| 12 | #define BEMBEL_SRC_LINEARFORM_TANGENTIALTRACE_HPP_ | ||
| 13 | |||
| 14 | namespace Bembel { | ||
| 15 | |||
| 16 | template <typename Scalar> | ||
| 17 | class TangentialTrace; | ||
| 18 | |||
| 19 | template <typename ScalarT> | ||
| 20 | struct LinearFormTraits<TangentialTrace<ScalarT>> { | ||
| 21 | typedef ScalarT Scalar; | ||
| 22 | }; | ||
| 23 | |||
| 24 | /** | ||
| 25 | * \ingroup LinearForm | ||
| 26 | * \brief This class provides a specialization of the linear form required | ||
| 27 | *for the solution of the electric field integral equation. | ||
| 28 | **/ | ||
| 29 | template <typename Scalar> | ||
| 30 | class TangentialTrace : public LinearFormBase<TangentialTrace<Scalar>, Scalar> { | ||
| 31 | public: | ||
| 32 | 1 | TangentialTrace() {} | |
| 33 | 1 | void set_function( | |
| 34 | const std::function<Eigen::Matrix<Scalar, 3, 1>(Eigen::Vector3d)> | ||
| 35 | &function) { | ||
| 36 | 1 | function_ = function; | |
| 37 | 1 | } | |
| 38 | template <class T> | ||
| 39 | 9 | void evaluateIntegrand_impl( | |
| 40 | const T &super_space, const SurfacePoint &p, | ||
| 41 | Eigen::Matrix<Scalar, Eigen::Dynamic, 2> *intval) const { | ||
| 42 | 9 | int polynomial_degree = super_space.get_polynomial_degree(); | |
| 43 | 9 | int polynomial_degree_plus_one_squared = | |
| 44 | 9 | (polynomial_degree + 1) * (polynomial_degree + 1); | |
| 45 | |||
| 46 | // get evaluation points on unit square | ||
| 47 |
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9 | Eigen::Vector2d s = p.segment<2>(0); |
| 48 | |||
| 49 | // get quadrature weights | ||
| 50 |
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9 | double ws = p(2); |
| 51 | |||
| 52 | // get points on geometry and tangential derivatives | ||
| 53 |
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9 | Eigen::Vector3d x_f = p.segment<3>(3); |
| 54 |
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9 | Eigen::Vector3d x_f_dx = p.segment<3>(6); |
| 55 |
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9 | Eigen::Vector3d x_f_dy = p.segment<3>(9); |
| 56 | |||
| 57 | // compute surface measures from tangential derivatives | ||
| 58 |
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9 | Eigen::Vector3d x_n = x_f_dx.cross(x_f_dy).normalized(); |
| 59 | |||
| 60 | // tangential component + quadrature weights | ||
| 61 |
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9 | Eigen::Matrix<Scalar, 3, 1> fun_x_f = function_(x_f); |
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9 | Eigen::Matrix<Scalar, 3, 1> tangential_component = fun_x_f.cross(x_n) * ws; |
| 63 | |||
| 64 | // extract tangential component | ||
| 65 |
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9 | Scalar component_x = x_f_dx.dot(tangential_component); |
| 66 |
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9 | Scalar component_y = x_f_dy.dot(tangential_component); |
| 67 | |||
| 68 | // evaluate shape functions | ||
| 69 |
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9 | Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> phiPhiVec = |
| 70 | super_space.basis(s); | ||
| 71 | |||
| 72 | // multiply basis functions with integrand | ||
| 73 | 9 | Eigen::Matrix<Scalar, Eigen::Dynamic, 2> phiPhiMat( | |
| 74 |
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9 | polynomial_degree_plus_one_squared, 2); |
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9 | phiPhiMat.col(0) = component_x * phiPhiVec; |
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9 | phiPhiMat.col(1) = component_y * phiPhiVec; |
| 77 | |||
| 78 | // compute integrals | ||
| 79 |
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9 | (*intval) += phiPhiMat; |
| 80 | 18 | return; | |
| 81 | 9 | } | |
| 82 | |||
| 83 | private: | ||
| 84 | std::function<Eigen::Matrix<Scalar, 3, 1>(Eigen::Vector3d)> function_; | ||
| 85 | }; | ||
| 86 | } // namespace Bembel | ||
| 87 | |||
| 88 | #endif // BEMBEL_SRC_LINEARFORM_TANGENTIALTRACE_HPP_ | ||
| 89 |