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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_DISCRETELINEARFORM_HPP_ | ||
| 12 | #define BEMBEL_SRC_LINEARFORM_DISCRETELINEARFORM_HPP_ | ||
| 13 | |||
| 14 | namespace Bembel { | ||
| 15 | /** | ||
| 16 | * \ingroup LinearForm | ||
| 17 | * \brief This class, given a LinearForm with defined traits, takes care of the | ||
| 18 | * assembly of the right hand side. | ||
| 19 | */ | ||
| 20 | template <typename Derived, typename LinOp> | ||
| 21 | class DiscreteLinearForm { | ||
| 22 | public: | ||
| 23 | ////////////////////////////////////////////////////////////////////////////// | ||
| 24 | // constructors | ||
| 25 | ////////////////////////////////////////////////////////////////////////////// | ||
| 26 | DiscreteLinearForm() {} | ||
| 27 |
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10 | explicit DiscreteLinearForm(const AnsatzSpace<LinOp> &ansatz_space) { |
| 28 |
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10 | init_DiscreteLinearForm(ansatz_space); |
| 29 | 10 | } | |
| 30 | ////////////////////////////////////////////////////////////////////////////// | ||
| 31 | // init_DiscreteLinearForm | ||
| 32 | ////////////////////////////////////////////////////////////////////////////// | ||
| 33 | 10 | void init_DiscreteLinearForm(const AnsatzSpace<LinOp> &ansatz_space) { | |
| 34 |
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10 | ansatz_space_ = ansatz_space; |
| 35 | 10 | deg_ = ansatz_space_.get_polynomial_degree() + 1; | |
| 36 | 10 | return; | |
| 37 | } | ||
| 38 | ////////////////////////////////////////////////////////////////////////////// | ||
| 39 | // compute | ||
| 40 | ////////////////////////////////////////////////////////////////////////////// | ||
| 41 | /** | ||
| 42 | * \todo Add inline commentary | ||
| 43 | **/ | ||
| 44 | 10 | void compute() { | |
| 45 |
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10 | GaussSquare<Constants::maximum_quadrature_degree> GS; |
| 46 |
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10 | auto Q = GS[deg_]; |
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10 | SurfacePoint qp; |
| 48 | 10 | auto super_space = ansatz_space_.get_superspace(); | |
| 49 | 10 | const ElementTree &element_tree = super_space.get_mesh().get_element_tree(); | |
| 50 | 10 | auto number_of_elements = element_tree.get_number_of_elements(); | |
| 51 | 10 | auto polynomial_degree = super_space.get_polynomial_degree(); | |
| 52 | 10 | auto polynomial_degree_plus_one_squared = | |
| 53 | 10 | (polynomial_degree + 1) * (polynomial_degree + 1); | |
| 54 | 10 | const auto function_space_dimension = | |
| 55 | getFunctionSpaceVectorDimension<LinearOperatorTraits<LinOp>::Form>(); | ||
| 56 | Eigen::Matrix<typename LinearFormTraits<Derived>::Scalar, Eigen::Dynamic, | ||
| 57 | function_space_dimension> | ||
| 58 |
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10 | intval(polynomial_degree_plus_one_squared, function_space_dimension); |
| 59 | Eigen::Matrix<typename LinearFormTraits<Derived>::Scalar, Eigen::Dynamic, | ||
| 60 | function_space_dimension> | ||
| 61 |
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10 | disc_lf_matrix(polynomial_degree_plus_one_squared * number_of_elements, |
| 62 | function_space_dimension); | ||
| 63 |
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10 | disc_lf_matrix.setZero(); |
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443 | for (auto element = element_tree.cpbegin(); element != element_tree.cpend(); |
| 65 | 433 | ++element) { | |
| 66 |
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433 | intval.setZero(); |
| 67 |
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2770 | for (auto i = 0; i < Q.w_.size(); ++i) { |
| 68 |
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2337 | super_space.map2surface(*element, Q.xi_.col(i), |
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2337 | element->get_h() * Q.w_(i), &qp); |
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2337 | lf_.evaluateIntegrand_impl(super_space, qp, &intval); |
| 71 | } | ||
| 72 |
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866 | disc_lf_matrix.block(polynomial_degree_plus_one_squared * element->id_, 0, |
| 73 | polynomial_degree_plus_one_squared, | ||
| 74 |
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433 | function_space_dimension) = intval; |
| 75 | } | ||
| 76 |
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10 | disc_lf_ = |
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10 | ansatz_space_.get_transformation_matrix().transpose() * |
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20 | Eigen::Map<Eigen::Matrix<typename LinearOperatorTraits<LinOp>::Scalar, |
| 79 | Eigen::Dynamic, 1>>( | ||
| 80 | disc_lf_matrix.data(), | ||
| 81 | 10 | disc_lf_matrix.rows() * disc_lf_matrix.cols()); | |
| 82 | 20 | return; | |
| 83 | 10 | } | |
| 84 | ////////////////////////////////////////////////////////////////////////////// | ||
| 85 | // setter | ||
| 86 | ////////////////////////////////////////////////////////////////////////////// | ||
| 87 | void set_degree(const int °) { deg_ = deg; } | ||
| 88 | ////////////////////////////////////////////////////////////////////////////// | ||
| 89 | // getter | ||
| 90 | ////////////////////////////////////////////////////////////////////////////// | ||
| 91 | 10 | Derived &get_linear_form() { return lf_; } | |
| 92 | const Eigen::Matrix<typename LinearFormTraits<Derived>::Scalar, | ||
| 93 | Eigen::Dynamic, 1> | ||
| 94 | 11 | &get_discrete_linear_form() const { | |
| 95 | 11 | return disc_lf_; | |
| 96 | } | ||
| 97 | ////////////////////////////////////////////////////////////////////////////// | ||
| 98 | // private member variables | ||
| 99 | ////////////////////////////////////////////////////////////////////////////// | ||
| 100 | private: | ||
| 101 | int deg_; | ||
| 102 | Derived lf_; | ||
| 103 | Eigen::Matrix<typename LinearFormTraits<Derived>::Scalar, Eigen::Dynamic, 1> | ||
| 104 | disc_lf_; | ||
| 105 | AnsatzSpace<LinOp> ansatz_space_; | ||
| 106 | }; | ||
| 107 | |||
| 108 | } // namespace Bembel | ||
| 109 | #endif // BEMBEL_SRC_LINEARFORM_DISCRETELINEARFORM_HPP_ | ||
| 110 |