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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 |