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| 1 | // This file is part of Bembel, the higher order C++ boundary element library. | ||
| 2 | // | ||
| 3 | // Copyright (C) 2024 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_ANSATZSPACE_HPP_ | ||
| 12 | #define BEMBEL_SRC_ANSATZSPACE_ANSATZSPACE_HPP_ | ||
| 13 | |||
| 14 | namespace Bembel { | ||
| 15 | /** | ||
| 16 | * \ingroup AnsatzSpace | ||
| 17 | * \brief The AnsatzSpace is the class that handles the assembly of the | ||
| 18 | *discrete basis. | ||
| 19 | * | ||
| 20 | * It invokes a SuperSpace and uses the Glue and Projector class to | ||
| 21 | *assemble a transformation matrix, which relates the SuperSpace to the desired | ||
| 22 | *basis. | ||
| 23 | */ | ||
| 24 | template <typename Derived> | ||
| 25 | class AnsatzSpace { | ||
| 26 | public: | ||
| 27 | enum { Form = LinearOperatorTraits<Derived>::Form }; | ||
| 28 | ////////////////////////////////////////////////////////////////////////////// | ||
| 29 | // constructors | ||
| 30 | ////////////////////////////////////////////////////////////////////////////// | ||
| 31 | /** | ||
| 32 | * \brief Default constructor | ||
| 33 | */ | ||
| 34 | 298 | AnsatzSpace() {} | |
| 35 | /** | ||
| 36 | * \brief Copy constructor | ||
| 37 | * \param other The object to copy from | ||
| 38 | */ | ||
| 39 | 298 | AnsatzSpace(const AnsatzSpace &other) { | |
| 40 | 298 | super_space_ = other.super_space_; | |
| 41 | 298 | knot_repetition_ = other.knot_repetition_; | |
| 42 |
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298 | transformation_matrix_ = other.transformation_matrix_; |
| 43 | 298 | } | |
| 44 | /** | ||
| 45 | * @brief Move constructor | ||
| 46 | * @param other The object to move from | ||
| 47 | */ | ||
| 48 | AnsatzSpace(AnsatzSpace &&other) { | ||
| 49 | super_space_ = other.super_space_; | ||
| 50 | knot_repetition_ = other.knot_repetition_; | ||
| 51 | transformation_matrix_ = other.transformation_matrix_; | ||
| 52 | } | ||
| 53 | /** | ||
| 54 | * \brief Copy assignment operator. | ||
| 55 | * | ||
| 56 | * This operator assigns the contents of another AnsatzSpace object to this | ||
| 57 | * one. | ||
| 58 | * | ||
| 59 | * \param other The AnsatzSpace object to copy from. | ||
| 60 | * \return A reference to the updated AnsatzSpace object. | ||
| 61 | */ | ||
| 62 | 298 | AnsatzSpace &operator=(AnsatzSpace other) { | |
| 63 | 298 | super_space_ = other.super_space_; | |
| 64 | 298 | knot_repetition_ = other.knot_repetition_; | |
| 65 | 298 | transformation_matrix_ = other.transformation_matrix_; | |
| 66 | 298 | return *this; | |
| 67 | } | ||
| 68 | /** | ||
| 69 | * \brief Constructor for AnsatzSpace. | ||
| 70 | * | ||
| 71 | * This constructor initializes an AnsatzSpace object with the provided | ||
| 72 | * parameters. | ||
| 73 | * | ||
| 74 | * \param geometry The geometry object defining the space. | ||
| 75 | * \param refinement_level The refinement level of the space. | ||
| 76 | * \param polynomial_degree The degree of polynomials used in the space. | ||
| 77 | * \param knot_repetition (optional) The number of repetitions of knots in the | ||
| 78 | * space. | ||
| 79 | */ | ||
| 80 | 272 | AnsatzSpace(const Geometry &geometry, int refinement_level, | |
| 81 | 272 | int polynomial_degree, int knot_repetition = 1) { | |
| 82 |
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272 | init_AnsatzSpace(geometry, refinement_level, polynomial_degree, |
| 83 | knot_repetition); | ||
| 84 | 272 | return; | |
| 85 | ✗ | } | |
| 86 | ////////////////////////////////////////////////////////////////////////////// | ||
| 87 | // init_Ansatzspace | ||
| 88 | ////////////////////////////////////////////////////////////////////////////// | ||
| 89 | /** | ||
| 90 | * \brief Initializes the AnsatzSpace object. | ||
| 91 | * | ||
| 92 | * This function initializes the AnsatzSpace object with the provided | ||
| 93 | * parameters. It sets the knot repetition, initializes the super space, | ||
| 94 | * utilizes the Projector and Glue class to create a transformation matrix | ||
| 95 | * which assembles conforming B-Splines from local Bernstein polynomials. | ||
| 96 | * | ||
| 97 | * \param geometry The geometry object. | ||
| 98 | * \param refinement_level The refinement level of the space. | ||
| 99 | * \param polynomial_degree The degree of polynomials used in the space. | ||
| 100 | * \param knot_repetition The number of repetitions of knots in the space. | ||
| 101 | */ | ||
| 102 | 272 | void init_AnsatzSpace(const Geometry &geometry, int refinement_level, | |
| 103 | int polynomial_degree, int knot_repetition) { | ||
| 104 | 272 | knot_repetition_ = knot_repetition; | |
| 105 |
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272 | super_space_.init_SuperSpace(geometry, refinement_level, polynomial_degree); |
| 106 |
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272 | Projector<Derived> proj(super_space_, knot_repetition_); |
| 107 |
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272 | Glue<Derived> glue(super_space_, proj); |
| 108 |
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272 | transformation_matrix_ = |
| 109 |
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544 | proj.get_projection_matrix() * glue.get_glue_matrix(); |
| 110 | 544 | return; | |
| 111 | 272 | } | |
| 112 | ////////////////////////////////////////////////////////////////////////////// | ||
| 113 | // getters | ||
| 114 | ////////////////////////////////////////////////////////////////////////////// | ||
| 115 | /** | ||
| 116 | * \brief Retrieves the reference to the SuperSpace associated with this | ||
| 117 | * AnsatzSpace. | ||
| 118 | * | ||
| 119 | * \return A const reference to the SuperSpace. | ||
| 120 | */ | ||
| 121 | 1110285 | const SuperSpace<Derived> &get_superspace() const { return super_space_; } | |
| 122 | |||
| 123 | /** | ||
| 124 | * \brief Retrieves the knot repetition value of this AnsatzSpace. | ||
| 125 | * | ||
| 126 | * \return The knot repetition value. | ||
| 127 | */ | ||
| 128 | int get_knot_repetition() const { return knot_repetition_; } | ||
| 129 | |||
| 130 | /** | ||
| 131 | * \brief Retrieves the refinement level of this AnsatzSpace. | ||
| 132 | * | ||
| 133 | * \return The refinement level. | ||
| 134 | */ | ||
| 135 | 7680 | int get_refinement_level() const { | |
| 136 | 7680 | return super_space_.get_refinement_level(); | |
| 137 | } | ||
| 138 | |||
| 139 | /** | ||
| 140 | * \brief Retrieves the polynomial degree of this AnsatzSpace. | ||
| 141 | * | ||
| 142 | * \return The polynomial degree. | ||
| 143 | */ | ||
| 144 | 287 | int get_polynomial_degree() const { | |
| 145 | 287 | return super_space_.get_polynomial_degree(); | |
| 146 | } | ||
| 147 | |||
| 148 | /** | ||
| 149 | * \brief Retrieves the number of elements of the underlying ElementTree in | ||
| 150 | * the SuperSpace of this AnsatzSpace. | ||
| 151 | * | ||
| 152 | * \return The number of elements. | ||
| 153 | */ | ||
| 154 | int get_number_of_elements() const { | ||
| 155 | return super_space_.get_number_of_elements(); | ||
| 156 | } | ||
| 157 | |||
| 158 | /** | ||
| 159 | * \brief Retrieves the number of patches of the underlying Geometry. | ||
| 160 | * | ||
| 161 | * \return The number of patches. | ||
| 162 | */ | ||
| 163 | int get_number_of_patches() const { | ||
| 164 | return super_space_.get_number_of_patches(); | ||
| 165 | } | ||
| 166 | |||
| 167 | /** | ||
| 168 | * \brief Retrieves the number of degrees of freedom of this AnsatzSpace. | ||
| 169 | * | ||
| 170 | * \return The number of degrees of freedom. | ||
| 171 | */ | ||
| 172 | 64 | int get_number_of_dofs() const { return transformation_matrix_.cols(); } | |
| 173 | |||
| 174 | /** | ||
| 175 | * \brief Retrieves the geometry associated with this AnsatzSpace. | ||
| 176 | * | ||
| 177 | * \return A const reference to the geometry. | ||
| 178 | */ | ||
| 179 | const PatchVector &get_geometry() const { | ||
| 180 | return super_space_.get_geometry(); | ||
| 181 | } | ||
| 182 | |||
| 183 | /** | ||
| 184 | * \brief Retrieves the transformation matrix associated with this | ||
| 185 | * AnsatzSpace. | ||
| 186 | * | ||
| 187 | * \return A const reference to the transformation matrix. | ||
| 188 | */ | ||
| 189 | 158 | const Eigen::SparseMatrix<double> &get_transformation_matrix() const { | |
| 190 | 158 | return transformation_matrix_; | |
| 191 | } | ||
| 192 | ////////////////////////////////////////////////////////////////////////////// | ||
| 193 | // private member variables | ||
| 194 | ////////////////////////////////////////////////////////////////////////////// | ||
| 195 | private: | ||
| 196 | Eigen::SparseMatrix<double> transformation_matrix_; | ||
| 197 | SuperSpace<Derived> super_space_; | ||
| 198 | int knot_repetition_; | ||
| 199 | }; | ||
| 200 | } // namespace Bembel | ||
| 201 | #endif // BEMBEL_SRC_ANSATZSPACE_ANSATZSPACE_HPP_ | ||
| 202 |