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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_ANSATZSPACE_FUNCTIONEVALUATOREVAL_HPP_ | ||
| 12 | #define BEMBEL_SRC_ANSATZSPACE_FUNCTIONEVALUATOREVAL_HPP_ | ||
| 13 | |||
| 14 | namespace Bembel { | ||
| 15 | |||
| 16 | template <typename Scalar, unsigned int DF, typename LinOp> | ||
| 17 | struct FunctionEvaluatorEval {}; | ||
| 18 | |||
| 19 | // continuous | ||
| 20 | template <typename Scalar, typename LinOp> | ||
| 21 | struct FunctionEvaluatorEval<Scalar, DifferentialForm::Continuous, LinOp> { | ||
| 22 | Eigen::Matrix<Scalar, | ||
| 23 | getFunctionSpaceOutputDimension<DifferentialForm::Continuous>(), | ||
| 24 | 1> | ||
| 25 | 2220 | eval(const SuperSpace<LinOp> &super_space, | |
| 26 | const int polynomial_degree_plus_one_squared, | ||
| 27 | const ElementTreeNode &element, const SurfacePoint &p, | ||
| 28 | const Eigen::Matrix< | ||
| 29 | Scalar, Eigen::Dynamic, | ||
| 30 | getFunctionSpaceVectorDimension<DifferentialForm::Continuous>()> | ||
| 31 | &coeff) const { | ||
| 32 |
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2220 | auto s = p.segment<2>(0); |
| 33 |
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2220 | return coeff.transpose() * super_space.basis(s) / element.get_h(); |
| 34 | } | ||
| 35 | }; | ||
| 36 | |||
| 37 | // div-conforming | ||
| 38 | template <typename Scalar, typename LinOp> | ||
| 39 | struct FunctionEvaluatorEval<Scalar, DifferentialForm::DivConforming, LinOp> { | ||
| 40 | Eigen::Matrix< | ||
| 41 | Scalar, | ||
| 42 | getFunctionSpaceOutputDimension<DifferentialForm::DivConforming>(), 1> | ||
| 43 | 93720 | eval(const SuperSpace<LinOp> &super_space, | |
| 44 | const int polynomial_degree_plus_one_squared, | ||
| 45 | const ElementTreeNode &element, const SurfacePoint &p, | ||
| 46 | const Eigen::Matrix< | ||
| 47 | Scalar, Eigen::Dynamic, | ||
| 48 | getFunctionSpaceVectorDimension<DifferentialForm::DivConforming>()> | ||
| 49 | &coeff) const { | ||
| 50 |
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93720 | auto s = p.segment<2>(0); |
| 51 | 93720 | auto h = element.get_h(); | |
| 52 |
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93720 | auto x_f_dx = p.segment<3>(6); |
| 53 |
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93720 | auto x_f_dy = p.segment<3>(9); |
| 54 | Eigen::Matrix<typename LinearOperatorTraits<LinOp>::Scalar, Eigen::Dynamic, | ||
| 55 | 1> | ||
| 56 |
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93720 | tangential_coefficients = coeff.transpose() * super_space.basis(s); |
| 57 |
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93720 | return (x_f_dx * tangential_coefficients(0) + |
| 58 |
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93720 | x_f_dy * tangential_coefficients(1)) / |
| 59 |
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281160 | h; |
| 60 | 93720 | } | |
| 61 | |||
| 62 | 91800 | Scalar evalDiv( | |
| 63 | const SuperSpace<LinOp> &super_space, | ||
| 64 | const int polynomial_degree_plus_one_squared, | ||
| 65 | const ElementTreeNode &element, const SurfacePoint &p, | ||
| 66 | const Eigen::Matrix< | ||
| 67 | Scalar, Eigen::Dynamic, | ||
| 68 | getFunctionSpaceVectorDimension<DifferentialForm::DivConforming>()> | ||
| 69 | &coeff) const { | ||
| 70 |
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91800 | auto s = p.segment<2>(0); |
| 71 | 91800 | auto h = element.get_h(); | |
| 72 | Eigen::Matrix<typename LinearOperatorTraits<LinOp>::Scalar, Eigen::Dynamic, | ||
| 73 | 1> | ||
| 74 |
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91800 | phiPhiVec_dx = super_space.basisDx(s); |
| 75 | Eigen::Matrix<typename LinearOperatorTraits<LinOp>::Scalar, Eigen::Dynamic, | ||
| 76 | 1> | ||
| 77 |
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91800 | phiPhiVec_dy = super_space.basisDy(s); |
| 78 |
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91800 | return (phiPhiVec_dx.dot(coeff.col(0)) + phiPhiVec_dy.dot(coeff.col(1))) / |
| 79 | 183600 | h / h; | |
| 80 | 91800 | } | |
| 81 | }; | ||
| 82 | |||
| 83 | // discontinuous | ||
| 84 | template <typename Scalar, typename LinOp> | ||
| 85 | struct FunctionEvaluatorEval<Scalar, DifferentialForm::Discontinuous, LinOp> { | ||
| 86 | Eigen::Matrix< | ||
| 87 | Scalar, | ||
| 88 | getFunctionSpaceOutputDimension<DifferentialForm::Discontinuous>(), 1> | ||
| 89 | 902402 | eval(const SuperSpace<LinOp> &super_space, | |
| 90 | const int polynomial_degree_plus_one_squared, | ||
| 91 | const ElementTreeNode &element, const SurfacePoint &p, | ||
| 92 | const Eigen::Matrix< | ||
| 93 | Scalar, Eigen::Dynamic, | ||
| 94 | getFunctionSpaceVectorDimension<DifferentialForm::Discontinuous>()> | ||
| 95 | &coeff) const { | ||
| 96 |
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902402 | auto s = p.segment<2>(0); |
| 97 |
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902402 | return coeff.transpose() * super_space.basis(s) / element.get_h(); |
| 98 | } | ||
| 99 | }; | ||
| 100 | } // namespace Bembel | ||
| 101 | #endif // BEMBEL_SRC_ANSATZSPACE_FUNCTIONEVALUATOREVAL_HPP_ | ||
| 102 |