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Add Augmented Electric Field Integral Equation Feature (#101)
* Add Screen Feature * Add AugmentedEFIE Feature * Add AugmentedEFIE to Documentation * Add Readme to Unsupported Directory * Install Specific cpplint Version Without Namespace Bug
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| Original file line number | Diff line number | Diff line change |
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| // This file is part of Bembel, the higher order C++ boundary element library. | ||
| // | ||
| // Copyright (C) 2024 see <http://www.bembel.eu> | ||
| // | ||
| // It was written as part of a cooperation of J. Doelz, H. Harbrecht, S. Kurz, | ||
| // M. Multerer, S. Schoeps, and F. Wolf at Technische Universitaet Darmstadt, | ||
| // Universitaet Basel, and Universita della Svizzera italiana, Lugano. This | ||
| // source code is subject to the GNU General Public License version 3 and | ||
| // provided WITHOUT ANY WARRANTY, see <http://www.bembel.eu> for further | ||
| // information. | ||
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| #ifndef BEMBEL_AugmentedEFIE_MODULE_ | ||
| #define BEMBEL_AugmentedEFIE_MODULE_ | ||
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| /** | ||
| * \ingroup Modules | ||
| * \defgroup AugmentedEFIE AugmentedEFIE | ||
| * \brief The AugmentedEFIE module contains routines for the spline-based | ||
| * Augmented Electric Field Integral Equation. | ||
| **/ | ||
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| #include <Bembel/LinearOperator> | ||
| #include <Bembel/Identity> | ||
| #include <Bembel/LinearForm> | ||
| #include <Bembel/Helmholtz> | ||
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| #include "src/AugmentedEFIE/IncidenceMatrix.hpp" | ||
| #include "src/AugmentedEFIE/InductanceMatrix.hpp" | ||
| #include "src/AugmentedEFIE/EFIE.hpp" | ||
| #include "src/AugmentedEFIE/VectorPotential.hpp" | ||
| #include "src/AugmentedEFIE/GradScalarPotential.hpp" | ||
| #include "src/AugmentedEFIE/MixedEFIE.hpp" | ||
| #include "src/AugmentedEFIE/VoltageSource.hpp" | ||
| #include "src/AugmentedEFIE/AugmentedEFIEAssembler.hpp" | ||
| #include "src/AugmentedEFIE/AugmentedEFIE.hpp" | ||
| #include "src/AugmentedEFIE/AugmentedEFIEExcitation.hpp" | ||
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| #endif |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,167 @@ | ||
| // This file is part of Bembel, the higher order C++ boundary element library. | ||
| // | ||
| // Copyright (C) 2024 see <http://www.bembel.eu> | ||
| // | ||
| // It was written as part of a cooperation of J. Doelz, H. Harbrecht, S. Kurz, | ||
| // M. Multerer, S. Schoeps, and F. Wolf at Technische Universitaet Darmstadt, | ||
| // Universitaet Basel, and Universita della Svizzera italiana, Lugano. This | ||
| // source code is subject to the GNU General Public License version 3 and | ||
| // provided WITHOUT ANY WARRANTY, see <http://www.bembel.eu> for further | ||
| // information. | ||
| #ifndef BEMBEL_SRC_AUGMENTEDEFIE_AUGMENTEDEFIE_HPP_ | ||
| #define BEMBEL_SRC_AUGMENTEDEFIE_AUGMENTEDEFIE_HPP_ | ||
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| namespace Bembel { | ||
| /** | ||
| * \ingroup AugmentedEFIE | ||
| * \brief This class handles the assembly and storage of the system matrix. | ||
| */ | ||
| template <typename MatrixFormat, typename Derived> | ||
| class AugmentedEFIE { | ||
| public: | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // constructors | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| AugmentedEFIE() {} | ||
| AugmentedEFIE(const AnsatzSpace<Derived> &ansatz_space_vector, | ||
| const Geometry &geometry) { | ||
| init_AugmentedEFIE(ansatz_space_vector, geometry); | ||
| } | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // init_AugmentedEFIE | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| void init_AugmentedEFIE(const AnsatzSpace<Derived> &ansatz_space_vector, | ||
| const Geometry &geometry) { | ||
| ansatz_space_vector_ = ansatz_space_vector; | ||
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| // Build ansatz spaces | ||
| ansatz_space_mass_ = AnsatzSpace<MassMatrixScalarDisc>( | ||
| geometry, ansatz_space_vector.get_refinement_level(), | ||
| ansatz_space_vector.get_polynomial_degree() - 1); | ||
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| ansatz_space_scalar_ = AnsatzSpace<HelmholtzSingleLayerOperator>( | ||
| geometry, ansatz_space_vector.get_refinement_level(), | ||
| ansatz_space_vector.get_polynomial_degree() - 1); | ||
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| dofs_scalar_ = ansatz_space_scalar_.get_number_of_dofs(); | ||
| dofs_vector_ = ansatz_space_vector_.get_number_of_dofs(); | ||
| return; | ||
| } | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // compute | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| /** | ||
| * \brief Assembles the system matrix without voltage source excitation. | ||
| */ | ||
| inline void compute() { | ||
| system_matrix_ = Eigen::MatrixXcd(dofs_scalar_ + dofs_vector_, | ||
| dofs_scalar_ + dofs_vector_); | ||
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| AugmentedEFIEAssembler<MatrixFormat>::compute( | ||
| &system_matrix_, ansatz_space_mass_, ansatz_space_scalar_, | ||
| ansatz_space_vector_, wavenumber_); | ||
| return; | ||
| } | ||
| /** | ||
| * \brief Assembles the system matrix with voltage source excitation. | ||
| */ | ||
| inline void compute(VoltageSource source) { | ||
| const int elements_per_edge = | ||
| (1 << ansatz_space_vector_.get_refinement_level()); | ||
| // This number contains all degrees of freedom on the edge for the | ||
| // excitation and three extra ones dedicated to the potential of the voltage | ||
| // source. | ||
| const int dofs_excitation = | ||
| 3 + | ||
| (source.positive_.size() + source.negative_.size()) * elements_per_edge; | ||
| system_matrix_ = | ||
| Eigen::MatrixXcd::Zero(dofs_scalar_ + dofs_vector_ + dofs_excitation, | ||
| dofs_scalar_ + dofs_vector_ + dofs_excitation); | ||
| excitation_ = Eigen::VectorXcd::Zero(dofs_scalar_); | ||
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| AugmentedEFIEAssembler<MatrixFormat>::compute_matrix_and_excitation( | ||
| &system_matrix_, &excitation_, ansatz_space_mass_, ansatz_space_scalar_, | ||
| ansatz_space_vector_, wavenumber_, source); | ||
| return; | ||
| } | ||
| void stabilize() { | ||
| std::function<std::complex<double>(Eigen::Vector3d)> one = | ||
| [](Eigen::Vector3d in) { return std::complex<double>(1., 0.); }; | ||
| DiscreteLinearForm<DirichletTrace<std::complex<double>>, | ||
| HelmholtzSingleLayerOperator> | ||
| const_lf(ansatz_space_scalar_); | ||
| const_lf.get_linear_form().set_function(one); | ||
| const_lf.compute(); | ||
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| system_matrix_.bottomRows(dofs_scalar_) *= omega_ * | ||
| std::complex<double>(0., 1.) * | ||
| Constants::mu0 * Constants::eps0; | ||
| system_matrix_.leftCols(dofs_vector_) *= | ||
| 1. / (omega_ * std::complex<double>(0., 1.) * Constants::mu0); | ||
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| std::complex<double> eigenvalues_average = | ||
| system_matrix_.trace() / ((double)system_matrix_.cols()); | ||
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| Eigen::VectorXcd a = Eigen::VectorXcd::Zero(system_matrix_.cols()); | ||
| a.bottomRows(dofs_scalar_) = const_lf.get_discrete_linear_form(); | ||
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| system_matrix_ = system_matrix_ - eigenvalues_average * a * a.transpose(); | ||
| } | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // setters | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| /** | ||
| * \brief Set wave number | ||
| */ | ||
| void set_wavenumber(std::complex<double> wavenumber) { | ||
| wavenumber_ = wavenumber; | ||
| } | ||
| void set_omega(double omega) { omega_ = omega; } | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // getters | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| const MatrixFormat &get_system_matrix() const { return system_matrix_; } | ||
| /** | ||
| * \brief Return wave number | ||
| */ | ||
| const std::complex<double> get_wavenumber() { return wavenumber_; } | ||
| /** | ||
| * \brief Return number of degrees of freedom for the current. | ||
| */ | ||
| const int get_dofs_vector() { return dofs_vector_; } | ||
| /** | ||
| * \brief Return number of degrees of freedom for the potential | ||
| */ | ||
| const int get_dofs_scalar() { return dofs_scalar_; } | ||
| /** | ||
| * \brief Debug output for the excitation. | ||
| */ | ||
| const Eigen::VectorXcd get_excitation() { return excitation_; } | ||
| /** | ||
| * \brief Debug output for the excitation. | ||
| */ | ||
| const AnsatzSpace<HelmholtzSingleLayerOperator> get_ansatz_space_scalar() { | ||
| return ansatz_space_scalar_; | ||
| } | ||
| const AnsatzSpace<MassMatrixScalarDisc> get_ansatz_space_mass() { | ||
| return ansatz_space_mass_; | ||
| } | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| // private member variables | ||
| ////////////////////////////////////////////////////////////////////////////// | ||
| private: | ||
| MatrixFormat system_matrix_; | ||
| Eigen::VectorXcd excitation_; | ||
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| AnsatzSpace<MassMatrixScalarDisc> ansatz_space_mass_; | ||
| AnsatzSpace<HelmholtzSingleLayerOperator> ansatz_space_scalar_; | ||
| AnsatzSpace<InductanceMatrix> ansatz_space_vector_; | ||
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| int dofs_scalar_; | ||
| int dofs_vector_; | ||
| double omega_; | ||
| std::complex<double> wavenumber_; | ||
| }; | ||
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| } // namespace Bembel | ||
| #endif // BEMBEL_SRC_AUGMENTEDEFIE_AUGMENTEDEFIE_HPP_ |
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