[P]arallel [Hi]gh-order [Li]brary for [P]DEs  Latest
Parallel High-Order Library for PDEs through hp-adaptive Discontinuous Galerkin methods
weak_dg.hpp
1 #ifndef __WEAK_DISCONTINUOUSGALERKIN_H__
2 #define __WEAK_DISCONTINUOUSGALERKIN_H__
3 
4 #include "dg_base_state.hpp"
5 #include "solution/local_solution.hpp"
6 
7 namespace PHiLiP {
8 
10 /* Contains the functions that need to be templated on the number of state variables.
11  */
12 #if PHILIP_DIM==1 // dealii::parallel::distributed::Triangulation<dim> does not work for 1D
13 template <int dim, int nstate, typename real, typename MeshType = dealii::Triangulation<dim>>
14 #else
15 template <int dim, int nstate, typename real, typename MeshType = dealii::parallel::distributed::Triangulation<dim>>
16 #endif
17 class DGWeak : public DGBaseState<dim, nstate, real, MeshType>
18 {
19 protected:
21  using Triangulation = typename DGBaseState<dim,nstate,real,MeshType>::Triangulation;
22 public:
24  DGWeak(
25  const Parameters::AllParameters *const parameters_input,
26  const unsigned int degree,
27  const unsigned int max_degree_input,
28  const unsigned int grid_degree_input,
29  const std::shared_ptr<Triangulation> triangulation_input);
30 
31 private:
32 
34  void assemble_volume_term_and_build_operators(
35  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
36  const dealii::types::global_dof_index current_cell_index,
37  const std::vector<dealii::types::global_dof_index> &cell_dofs_indices,
38  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
39  const unsigned int poly_degree,
40  const unsigned int grid_degree,
41  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis*/,
42  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis*/,
43  OPERATOR::local_basis_stiffness<dim,2*dim,real> &/*flux_basis_stiffness*/,
44  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_int*/,
45  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_ext*/,
46  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper*/,
47  OPERATOR::mapping_shape_functions<dim,2*dim,real> &/*mapping_basis*/,
48  std::array<std::vector<real>,dim> &/*mapping_support_points*/,
49  dealii::hp::FEValues<dim,dim> &fe_values_collection_volume,
50  dealii::hp::FEValues<dim,dim> &fe_values_collection_volume_lagrange,
51  const dealii::FESystem<dim,dim> &current_fe_ref,
52  dealii::Vector<real> &local_rhs_int_cell,
53  std::vector<dealii::Tensor<1,dim,real>> &/*local_auxiliary_RHS*/,
54  const bool /*compute_auxiliary_right_hand_side*/,
55  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
56 
58  void assemble_boundary_term_and_build_operators(
59  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
60  const dealii::types::global_dof_index current_cell_index,
61  const unsigned int iface,
62  const unsigned int boundary_id,
63  const real penalty,
64  const std::vector<dealii::types::global_dof_index> &cell_dofs_indices,
65  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
66  const unsigned int poly_degree,
67  const unsigned int grid_degree,
68  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis*/,
69  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis*/,
70  OPERATOR::local_basis_stiffness<dim,2*dim,real> &/*flux_basis_stiffness*/,
71  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_int*/,
72  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_ext*/,
73  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper*/,
74  OPERATOR::mapping_shape_functions<dim,2*dim,real> &/*mapping_basis*/,
75  std::array<std::vector<real>,dim> &/*mapping_support_points*/,
76  dealii::hp::FEFaceValues<dim,dim> &fe_values_collection_face_int,
77  const dealii::FESystem<dim,dim> &current_fe_ref,
78  dealii::Vector<real> &local_rhs_int_cell,
79  std::vector<dealii::Tensor<1,dim,real>> &/*local_auxiliary_RHS*/,
80  const bool /*compute_auxiliary_right_hand_side*/,
81  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
82 
84  void assemble_face_term_and_build_operators(
85  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
86  typename dealii::DoFHandler<dim>::active_cell_iterator neighbor_cell,
87  const dealii::types::global_dof_index current_cell_index,
88  const dealii::types::global_dof_index neighbor_cell_index,
89  const unsigned int iface,
90  const unsigned int neighbor_iface,
91  const real penalty,
92  const std::vector<dealii::types::global_dof_index> &current_dofs_indices,
93  const std::vector<dealii::types::global_dof_index> &neighbor_dofs_indices,
94  const std::vector<dealii::types::global_dof_index> &current_metric_dofs_indices,
95  const std::vector<dealii::types::global_dof_index> &neighbor_metric_dofs_indices,
96  const unsigned int /*poly_degree_int*/,
97  const unsigned int /*poly_degree_ext*/,
98  const unsigned int /*grid_degree_int*/,
99  const unsigned int /*grid_degree_ext*/,
100  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis_int*/,
101  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis_ext*/,
102  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis_int*/,
103  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis_ext*/,
104  OPERATOR::local_basis_stiffness<dim,2*dim,real> &/*flux_basis_stiffness*/,
105  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_int*/,
106  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_ext*/,
107  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper_int*/,
108  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper_ext*/,
109  OPERATOR::mapping_shape_functions<dim,2*dim,real> &/*mapping_basis*/,
110  std::array<std::vector<real>,dim> &/*mapping_support_points*/,
111  dealii::hp::FEFaceValues<dim,dim> &fe_values_collection_face_int,
112  dealii::hp::FEFaceValues<dim,dim> &fe_values_collection_face_ext,
113  dealii::Vector<real> &current_cell_rhs,
114  dealii::Vector<real> &neighbor_cell_rhs,
115  std::vector<dealii::Tensor<1,dim,real>> &/*current_cell_rhs_aux*/,
116  dealii::LinearAlgebra::distributed::Vector<double> &rhs,
117  std::array<dealii::LinearAlgebra::distributed::Vector<double>,dim> &/*rhs_aux*/,
118  const bool /*compute_auxiliary_right_hand_side*/,
119  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
120 
122  void assemble_subface_term_and_build_operators(
123  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
124  typename dealii::DoFHandler<dim>::active_cell_iterator neighbor_cell,
125  const dealii::types::global_dof_index current_cell_index,
126  const dealii::types::global_dof_index neighbor_cell_index,
127  const unsigned int iface,
128  const unsigned int neighbor_iface,
129  const unsigned int neighbor_i_subface,
130  const real penalty,
131  const std::vector<dealii::types::global_dof_index> &current_dofs_indices,
132  const std::vector<dealii::types::global_dof_index> &neighbor_dofs_indices,
133  const std::vector<dealii::types::global_dof_index> &current_metric_dofs_indices,
134  const std::vector<dealii::types::global_dof_index> &neighbor_metric_dofs_indices,
135  const unsigned int /*poly_degree_int*/,
136  const unsigned int /*poly_degree_ext*/,
137  const unsigned int /*grid_degree_int*/,
138  const unsigned int /*grid_degree_ext*/,
139  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis_int*/,
140  OPERATOR::basis_functions<dim,2*dim,real> &/*soln_basis_ext*/,
141  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis_int*/,
142  OPERATOR::basis_functions<dim,2*dim,real> &/*flux_basis_ext*/,
143  OPERATOR::local_basis_stiffness<dim,2*dim,real> &/*flux_basis_stiffness*/,
144  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_int*/,
145  OPERATOR::vol_projection_operator<dim,2*dim,real> &/*soln_basis_projection_oper_ext*/,
146  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper_int*/,
147  OPERATOR::metric_operators<real,dim,2*dim> &/*metric_oper_ext*/,
148  OPERATOR::mapping_shape_functions<dim,2*dim,real> &/*mapping_basis*/,
149  std::array<std::vector<real>,dim> &/*mapping_support_points*/,
150  dealii::hp::FEFaceValues<dim,dim> &fe_values_collection_face_int,
151  dealii::hp::FESubfaceValues<dim,dim> &fe_values_collection_subface,
152  dealii::Vector<real> &current_cell_rhs,
153  dealii::Vector<real> &neighbor_cell_rhs,
154  std::vector<dealii::Tensor<1,dim,real>> &/*current_cell_rhs_aux*/,
155  dealii::LinearAlgebra::distributed::Vector<double> &rhs,
156  std::array<dealii::LinearAlgebra::distributed::Vector<double>,dim> &/*rhs_aux*/,
157  const bool /*compute_auxiliary_right_hand_side*/,
158  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
159 
161  void assemble_auxiliary_residual ();
162 
164  void allocate_dual_vector ();
165 
167 
169  template <typename real2>
170  void assemble_volume_term(
171  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
172  const dealii::types::global_dof_index current_cell_index,
173  const LocalSolution<real2, dim, nstate> &local_solution,
174  const LocalSolution<real2, dim, dim> &local_metric,
175  const std::vector<real> &local_dual,
176  const dealii::Quadrature<dim> &quadrature,
177  const Physics::PhysicsBase<dim, nstate, real2> &physics,
178  std::vector<real2> &rhs, real2 &dual_dot_residual,
179  const bool compute_metric_derivatives,
180  const dealii::FEValues<dim,dim> &fe_values_vol);
181 
183 
185  template <typename real2>
186  void assemble_boundary_term(
187  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
188  const dealii::types::global_dof_index current_cell_index,
189  const LocalSolution<real2, dim, nstate> &local_solution,
190  const LocalSolution<real2, dim, dim> &local_metric,
191  const std::vector< real > &local_dual,
192  const unsigned int face_number,
193  const unsigned int boundary_id,
194  const Physics::PhysicsBase<dim, nstate, real2> &physics,
195  const NumericalFlux::NumericalFluxConvective<dim, nstate, real2> &conv_num_flux,
196  const NumericalFlux::NumericalFluxDissipative<dim, nstate, real2> &diss_num_flux,
197  const dealii::FEFaceValuesBase<dim,dim> &fe_values_boundary,
198  const real penalty,
199  const dealii::Quadrature<dim-1> &quadrature,
200  std::vector<real2> &rhs,
201  real2 &dual_dot_residual,
202  const bool compute_metric_derivatives);
203 
205 
207  template <typename real2>
208  void assemble_face_term(
209  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
210  const dealii::types::global_dof_index current_cell_index,
211  const dealii::types::global_dof_index neighbor_cell_index,
212  const LocalSolution<real2, dim, nstate> &soln_int,
213  const LocalSolution<real2, dim, nstate> &soln_ext,
214  const LocalSolution<real2, dim, dim> &metric_int,
215  const LocalSolution<real2, dim, dim> &metric_ext,
216  const std::vector< double > &dual_int,
217  const std::vector< double > &dual_ext,
218  const std::pair<unsigned int, int> face_subface_int,
219  const std::pair<unsigned int, int> face_subface_ext,
220  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_int,
221  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_ext,
222  const Physics::PhysicsBase<dim, nstate, real2> &physics,
223  const NumericalFlux::NumericalFluxConvective<dim, nstate, real2> &conv_num_flux,
224  const NumericalFlux::NumericalFluxDissipative<dim, nstate, real2> &diss_num_flux,
225  const dealii::FEFaceValuesBase<dim,dim> &fe_values_int,
226  const dealii::FEFaceValuesBase<dim,dim> &fe_values_ext,
227  const real penalty,
228  const dealii::Quadrature<dim-1> &face_quadrature,
229  std::vector<real2> &rhs_int,
230  std::vector<real2> &rhs_ext,
231  real2 &dual_dot_residual,
232  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
233 
234 private:
235 
237 
240  template <typename real2>
241  void assemble_volume_codi_taped_derivatives(
242  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
243  const dealii::types::global_dof_index current_cell_index,
244  const dealii::FEValues<dim,dim> &fe_values_vol,
245  const dealii::FESystem<dim,dim> &fe_soln,
246  const dealii::Quadrature<dim> &quadrature,
247  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
248  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
249  dealii::Vector<real> &local_rhs_cell,
250  const dealii::FEValues<dim,dim> &fe_values_lagrange,
251  const Physics::PhysicsBase<dim, nstate, real2> &physics,
252  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
253 
255 
258  template <typename adtype>
259  void assemble_boundary_codi_taped_derivatives(
260  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
261  const dealii::types::global_dof_index current_cell_index,
262  const unsigned int face_number,
263  const unsigned int boundary_id,
264  const dealii::FEFaceValuesBase<dim,dim> &fe_values_boundary,
265  const real penalty,
266  const dealii::FESystem<dim,dim> &fe_soln,
267  const dealii::Quadrature<dim-1> &quadrature,
268  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
269  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
270  const Physics::PhysicsBase<dim, nstate, adtype> &physics,
271  const NumericalFlux::NumericalFluxConvective<dim, nstate, adtype> &conv_num_flux,
272  const NumericalFlux::NumericalFluxDissipative<dim, nstate, adtype> &diss_num_flux,
273  dealii::Vector<real> &local_rhs_cell,
274  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
275 
277 
282  template <typename adtype>
283  void assemble_face_codi_taped_derivatives(
284  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
285  const dealii::types::global_dof_index current_cell_index,
286  const dealii::types::global_dof_index neighbor_cell_index,
287  const std::pair<unsigned int, int> face_subface_int,
288  const std::pair<unsigned int, int> face_subface_ext,
289  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_int,
290  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_ext,
291  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_int,
292  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_ext,
293  const real penalty,
294  const dealii::FESystem<dim,dim> &fe_int,
295  const dealii::FESystem<dim,dim> &fe_ext,
296  const dealii::Quadrature<dim-1> &face_quadrature,
297  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_int,
298  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_ext,
299  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_int,
300  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_ext,
301  const Physics::PhysicsBase<dim, nstate, adtype> &physics,
302  const NumericalFlux::NumericalFluxConvective<dim, nstate, adtype> &conv_num_flux,
303  const NumericalFlux::NumericalFluxDissipative<dim, nstate, adtype> &diss_num_flux,
304  dealii::Vector<real> &local_rhs_int_cell,
305  dealii::Vector<real> &local_rhs_ext_cell,
306  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
307 
308 
309 private:
310 
312 
313  virtual void assemble_volume_term_derivatives(
314  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
315  const dealii::types::global_dof_index current_cell_index,
316  const dealii::FEValues<dim,dim> &,//fe_values_vol,
317  const dealii::FESystem<dim,dim> &fe,
318  const dealii::Quadrature<dim> &quadrature,
319  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
320  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
321  dealii::Vector<real> &local_rhs_cell,
322  const dealii::FEValues<dim,dim> &/*fe_values_lagrange*/,
323  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
324 
325 
327 
328  void assemble_boundary_term_derivatives(
329  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
330  const dealii::types::global_dof_index current_cell_index,
331  const unsigned int face_number,
332  const unsigned int boundary_id,
333  const dealii::FEFaceValuesBase<dim,dim> &fe_values_boundary,
334  const real penalty,
335  const dealii::FESystem<dim,dim> &fe,
336  const dealii::Quadrature<dim-1> &quadrature,
337  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
338  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
339  dealii::Vector<real> &local_rhs_cell,
340  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
341 
342 
344 
347  void assemble_face_term_derivatives(
348  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
349  const dealii::types::global_dof_index current_cell_index,
350  const dealii::types::global_dof_index neighbor_cell_index,
351  const std::pair<unsigned int, int> face_subface_int,
352  const std::pair<unsigned int, int> face_subface_ext,
353  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_int,
354  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_ext,
355  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_int,
356  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_ext,
357  const real penalty,
358  const dealii::FESystem<dim,dim> &fe_int,
359  const dealii::FESystem<dim,dim> &fe_ext,
360  const dealii::Quadrature<dim-1> &face_quadrature,
361  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_int,
362  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_ext,
363  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_int,
364  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_ext,
365  dealii::Vector<real> &local_rhs_int_cell,
366  dealii::Vector<real> &local_rhs_ext_cell,
367  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
368 
369 private:
371 
372  void assemble_volume_residual(
373  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
374  const dealii::types::global_dof_index current_cell_index,
375  const dealii::FEValues<dim,dim> &fe_values_vol,
376  const dealii::FESystem<dim,dim> &fe_soln,
377  const dealii::Quadrature<dim> &quadrature,
378  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
379  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
380  dealii::Vector<real> &local_rhs_cell,
381  const dealii::FEValues<dim,dim> &fe_values_lagrange,
382  const Physics::PhysicsBase<dim, nstate, real> &physics,
383  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
384 
386 
387  void assemble_boundary_residual(
388  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
389  const dealii::types::global_dof_index current_cell_index,
390  const unsigned int face_number,
391  const unsigned int boundary_id,
392  const dealii::FEFaceValuesBase<dim,dim> &fe_values_boundary,
393  const real penalty,
394  const dealii::FESystem<dim,dim> &fe_soln,
395  const dealii::Quadrature<dim-1> &quadrature,
396  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
397  const std::vector<dealii::types::global_dof_index> &soln_dof_indices,
398  const Physics::PhysicsBase<dim, nstate, real> &physics,
399  const NumericalFlux::NumericalFluxConvective<dim, nstate, real> &conv_num_flux,
400  const NumericalFlux::NumericalFluxDissipative<dim, nstate, real> &diss_num_flux,
401  dealii::Vector<real> &local_rhs_cell,
402  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
403 
405 
406  void assemble_face_residual(
407  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
408  const dealii::types::global_dof_index current_cell_index,
409  const dealii::types::global_dof_index neighbor_cell_index,
410  const std::pair<unsigned int, int> face_subface_int,
411  const std::pair<unsigned int, int> face_subface_ext,
412  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_int,
413  const typename dealii::QProjector<dim>::DataSetDescriptor face_data_set_ext,
414  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_int,
415  const dealii::FEFaceValuesBase<dim,dim> &,//fe_values_ext,
416  const real penalty,
417  const dealii::FESystem<dim,dim> &fe_int,
418  const dealii::FESystem<dim,dim> &fe_ext,
419  const dealii::Quadrature<dim-1> &face_quadrature,
420  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_int,
421  const std::vector<dealii::types::global_dof_index> &metric_dof_indices_ext,
422  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_int,
423  const std::vector<dealii::types::global_dof_index> &soln_dof_indices_ext,
424  const Physics::PhysicsBase<dim, nstate, real> &physics,
425  const NumericalFlux::NumericalFluxConvective<dim, nstate, real> &conv_num_flux,
426  const NumericalFlux::NumericalFluxDissipative<dim, nstate, real> &diss_num_flux,
427  dealii::Vector<real> &local_rhs_int_cell,
428  dealii::Vector<real> &local_rhs_ext_cell,
429  const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R);
430 
432  void assemble_volume_term_explicit(
433  typename dealii::DoFHandler<dim>::active_cell_iterator cell,
434  const dealii::types::global_dof_index current_cell_index,
435  const dealii::FEValues<dim,dim> &fe_values_volume,
436  const std::vector<dealii::types::global_dof_index> &current_dofs_indices,
437  const std::vector<dealii::types::global_dof_index> &metric_dof_indices,
438  const unsigned int poly_degree,
439  const unsigned int grid_degree,
440  dealii::Vector<real> &current_cell_rhs,
441  const dealii::FEValues<dim,dim> &fe_values_lagrange);
442 
443 
444  using DGBase<dim,real,MeshType>::pcout;
445 }; // end of DGWeak class
446 
447 } // PHiLiP namespace
448 
449 #endif
PHiLiP::DGWeak::assemble_face_term_derivatives
void assemble_face_term_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const std::pair< unsigned int, int > face_subface_int, const std::pair< unsigned int, int > face_subface_ext, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_int, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_ext, const dealii::FEFaceValuesBase< dim, dim > &, const dealii::FEFaceValuesBase< dim, dim > &, const real penalty, const dealii::FESystem< dim, dim > &fe_int, const dealii::FESystem< dim, dim > &fe_ext, const dealii::Quadrature< dim-1 > &face_quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_int, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_ext, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_int, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_ext, dealii::Vector< real > &local_rhs_int_cell, dealii::Vector< real > &local_rhs_ext_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the internal cell edges and its specified derivatives. ...
Definition: weak_dg.cpp:3526
PHiLiP::Physics::PhysicsBase
Base class from which Advection, Diffusion, ConvectionDiffusion, and Euler is derived.
Definition: physics.h:34
PHiLiP::LocalSolution
Class to store local solution coefficients and provide evaluation functions.
Definition: local_solution.hpp:20
PHiLiP::OPERATOR::basis_functions
Basis functions.
Definition: operators.h:381
PHiLiP::NumericalFlux::NumericalFluxDissipative
Base class of numerical flux associated with dissipation.
Definition: viscous_numerical_flux.hpp:14
PHiLiP
Files for the baseline physics.
Definition: ADTypes.hpp:10
PHiLiP::DGWeak::assemble_boundary_term
void assemble_boundary_term(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const LocalSolution< real2, dim, nstate > &local_solution, const LocalSolution< real2, dim, dim > &local_metric, const std::vector< real > &local_dual, const unsigned int face_number, const unsigned int boundary_id, const Physics::PhysicsBase< dim, nstate, real2 > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, real2 > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, real2 > &diss_num_flux, const dealii::FEFaceValuesBase< dim, dim > &fe_values_boundary, const real penalty, const dealii::Quadrature< dim-1 > &quadrature, std::vector< real2 > &rhs, real2 &dual_dot_residual, const bool compute_metric_derivatives)
Main function responsible for evaluating the boundary integral and the specified derivatives.
Definition: weak_dg.cpp:647
PHiLiP::DGWeak
DGWeak class templated on the number of state variables.
Definition: weak_dg.hpp:17
PHiLiP::Parameters::AllParameters
Main parameter class that contains the various other sub-parameter classes.
Definition: all_parameters.h:33
PHiLiP::DGWeak::assemble_auxiliary_residual
void assemble_auxiliary_residual()
Assembles the auxiliary equations&#39; residuals and solves for the auxiliary variables.
Definition: weak_dg.cpp:3917
PHiLiP::DGWeak::assemble_volume_term_derivatives
virtual void assemble_volume_term_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::FEValues< dim, dim > &, const dealii::FESystem< dim, dim > &fe, const dealii::Quadrature< dim > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, dealii::Vector< real > &local_rhs_cell, const dealii::FEValues< dim, dim > &, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the cell volume and the specified derivatives.
Definition: weak_dg.cpp:3475
PHiLiP::DGWeak::allocate_dual_vector
void allocate_dual_vector()
Allocate the dual vector for optimization.
Definition: weak_dg.cpp:3923
PHiLiP::DGWeak::assemble_face_residual
void assemble_face_residual(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const std::pair< unsigned int, int > face_subface_int, const std::pair< unsigned int, int > face_subface_ext, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_int, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_ext, const dealii::FEFaceValuesBase< dim, dim > &, const dealii::FEFaceValuesBase< dim, dim > &, const real penalty, const dealii::FESystem< dim, dim > &fe_int, const dealii::FESystem< dim, dim > &fe_ext, const dealii::Quadrature< dim-1 > &face_quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_int, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_ext, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_int, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_ext, const Physics::PhysicsBase< dim, nstate, real > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, real > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, real > &diss_num_flux, dealii::Vector< real > &local_rhs_int_cell, dealii::Vector< real > &local_rhs_ext_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the internal face.
Definition: weak_dg.cpp:2704
PHiLiP::DGWeak::assemble_volume_term_and_build_operators
void assemble_volume_term_and_build_operators(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const std::vector< dealii::types::global_dof_index > &cell_dofs_indices, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const unsigned int poly_degree, const unsigned int grid_degree, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::local_basis_stiffness< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::mapping_shape_functions< dim, 2 *dim, real > &, std::array< std::vector< real >, dim > &, dealii::hp::FEValues< dim, dim > &fe_values_collection_volume, dealii::hp::FEValues< dim, dim > &fe_values_collection_volume_lagrange, const dealii::FESystem< dim, dim > &current_fe_ref, dealii::Vector< real > &local_rhs_int_cell, std::vector< dealii::Tensor< 1, dim, real >> &, const bool, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Builds the necessary fe values and assembles volume residual.
Definition: weak_dg.cpp:3631
PHiLiP::OPERATOR::metric_operators
Base metric operators class that stores functions used in both the volume and on surface.
Definition: operators.h:1086
PHiLiP::DGWeak::assemble_volume_term
void assemble_volume_term(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const LocalSolution< real2, dim, nstate > &local_solution, const LocalSolution< real2, dim, dim > &local_metric, const std::vector< real > &local_dual, const dealii::Quadrature< dim > &quadrature, const Physics::PhysicsBase< dim, nstate, real2 > &physics, std::vector< real2 > &rhs, real2 &dual_dot_residual, const bool compute_metric_derivatives, const dealii::FEValues< dim, dim > &fe_values_vol)
Main function responsible for evaluating the integral over the cell volume and the specified derivati...
Definition: weak_dg.cpp:2810
PHiLiP::DGWeak::assemble_face_codi_taped_derivatives
void assemble_face_codi_taped_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const std::pair< unsigned int, int > face_subface_int, const std::pair< unsigned int, int > face_subface_ext, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_int, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_ext, const dealii::FEFaceValuesBase< dim, dim > &, const dealii::FEFaceValuesBase< dim, dim > &, const real penalty, const dealii::FESystem< dim, dim > &fe_int, const dealii::FESystem< dim, dim > &fe_ext, const dealii::Quadrature< dim-1 > &face_quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_int, const std::vector< dealii::types::global_dof_index > &metric_dof_indices_ext, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_int, const std::vector< dealii::types::global_dof_index > &soln_dof_indices_ext, const Physics::PhysicsBase< dim, nstate, adtype > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, adtype > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, adtype > &diss_num_flux, dealii::Vector< real > &local_rhs_int_cell, dealii::Vector< real > &local_rhs_ext_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Preparation of CoDiPack taping for internal cell faces integrals, and derivative evaluation.
Definition: weak_dg.cpp:2323
PHiLiP::OPERATOR::mapping_shape_functions
The mapping shape functions evaluated at the desired nodes (facet set included in volume grid nodes f...
Definition: operators.h:1026
PHiLiP::NumericalFlux::NumericalFluxConvective
Base class of numerical flux associated with convection.
Definition: convective_numerical_flux.hpp:231
PHiLiP::DGWeak::assemble_boundary_codi_taped_derivatives
void assemble_boundary_codi_taped_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const unsigned int face_number, const unsigned int boundary_id, const dealii::FEFaceValuesBase< dim, dim > &fe_values_boundary, const real penalty, const dealii::FESystem< dim, dim > &fe_soln, const dealii::Quadrature< dim-1 > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, const Physics::PhysicsBase< dim, nstate, adtype > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, adtype > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, adtype > &diss_num_flux, dealii::Vector< real > &local_rhs_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Preparation of CoDiPack taping for boundary integral, and derivative evaluation.
Definition: weak_dg.cpp:1138
PHiLiP::DGWeak::assemble_volume_residual
void assemble_volume_residual(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::FEValues< dim, dim > &fe_values_vol, const dealii::FESystem< dim, dim > &fe_soln, const dealii::Quadrature< dim > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, dealii::Vector< real > &local_rhs_cell, const dealii::FEValues< dim, dim > &fe_values_lagrange, const Physics::PhysicsBase< dim, nstate, real > &physics, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the cell volume.
Definition: weak_dg.cpp:3412
PHiLiP::DGWeak::assemble_subface_term_and_build_operators
void assemble_subface_term_and_build_operators(typename dealii::DoFHandler< dim >::active_cell_iterator cell, typename dealii::DoFHandler< dim >::active_cell_iterator neighbor_cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const unsigned int iface, const unsigned int neighbor_iface, const unsigned int neighbor_i_subface, const real penalty, const std::vector< dealii::types::global_dof_index > &current_dofs_indices, const std::vector< dealii::types::global_dof_index > &neighbor_dofs_indices, const std::vector< dealii::types::global_dof_index > &current_metric_dofs_indices, const std::vector< dealii::types::global_dof_index > &neighbor_metric_dofs_indices, const unsigned int, const unsigned int, const unsigned int, const unsigned int, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::local_basis_stiffness< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::mapping_shape_functions< dim, 2 *dim, real > &, std::array< std::vector< real >, dim > &, dealii::hp::FEFaceValues< dim, dim > &fe_values_collection_face_int, dealii::hp::FESubfaceValues< dim, dim > &fe_values_collection_subface, dealii::Vector< real > &current_cell_rhs, dealii::Vector< real > &neighbor_cell_rhs, std::vector< dealii::Tensor< 1, dim, real >> &, dealii::LinearAlgebra::distributed::Vector< double > &rhs, std::array< dealii::LinearAlgebra::distributed::Vector< double >, dim > &, const bool, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Builds the necessary fe values and assembles subface residual.
Definition: weak_dg.cpp:3822
PHiLiP::DGWeak::assemble_face_term
void assemble_face_term(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const LocalSolution< real2, dim, nstate > &soln_int, const LocalSolution< real2, dim, nstate > &soln_ext, const LocalSolution< real2, dim, dim > &metric_int, const LocalSolution< real2, dim, dim > &metric_ext, const std::vector< double > &dual_int, const std::vector< double > &dual_ext, const std::pair< unsigned int, int > face_subface_int, const std::pair< unsigned int, int > face_subface_ext, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_int, const typename dealii::QProjector< dim >::DataSetDescriptor face_data_set_ext, const Physics::PhysicsBase< dim, nstate, real2 > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, real2 > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, real2 > &diss_num_flux, const dealii::FEFaceValuesBase< dim, dim > &fe_values_int, const dealii::FEFaceValuesBase< dim, dim > &fe_values_ext, const real penalty, const dealii::Quadrature< dim-1 > &face_quadrature, std::vector< real2 > &rhs_int, std::vector< real2 > &rhs_ext, real2 &dual_dot_residual, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Main function responsible for evaluating the internal face integral and the specified derivatives...
Definition: weak_dg.cpp:1505
PHiLiP::DGWeak::DGWeak
DGWeak(const Parameters::AllParameters *const parameters_input, const unsigned int degree, const unsigned int max_degree_input, const unsigned int grid_degree_input, const std::shared_ptr< Triangulation > triangulation_input)
Constructor.
Definition: weak_dg.cpp:450
PHiLiP::DGWeak::assemble_face_term_and_build_operators
void assemble_face_term_and_build_operators(typename dealii::DoFHandler< dim >::active_cell_iterator cell, typename dealii::DoFHandler< dim >::active_cell_iterator neighbor_cell, const dealii::types::global_dof_index current_cell_index, const dealii::types::global_dof_index neighbor_cell_index, const unsigned int iface, const unsigned int neighbor_iface, const real penalty, const std::vector< dealii::types::global_dof_index > &current_dofs_indices, const std::vector< dealii::types::global_dof_index > &neighbor_dofs_indices, const std::vector< dealii::types::global_dof_index > &current_metric_dofs_indices, const std::vector< dealii::types::global_dof_index > &neighbor_metric_dofs_indices, const unsigned int, const unsigned int, const unsigned int, const unsigned int, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::local_basis_stiffness< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::mapping_shape_functions< dim, 2 *dim, real > &, std::array< std::vector< real >, dim > &, dealii::hp::FEFaceValues< dim, dim > &fe_values_collection_face_int, dealii::hp::FEFaceValues< dim, dim > &fe_values_collection_face_ext, dealii::Vector< real > &current_cell_rhs, dealii::Vector< real > &neighbor_cell_rhs, std::vector< dealii::Tensor< 1, dim, real >> &, dealii::LinearAlgebra::distributed::Vector< double > &rhs, std::array< dealii::LinearAlgebra::distributed::Vector< double >, dim > &, const bool, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Builds the necessary fe values and assembles face residual.
Definition: weak_dg.cpp:3730
PHiLiP::DGBaseState::Triangulation
typename DGBase< dim, real, MeshType >::Triangulation Triangulation
Alias to base class Triangulation.
Definition: dg_base_state.hpp:22
PHiLiP::DGWeak::assemble_boundary_residual
void assemble_boundary_residual(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const unsigned int face_number, const unsigned int boundary_id, const dealii::FEFaceValuesBase< dim, dim > &fe_values_boundary, const real penalty, const dealii::FESystem< dim, dim > &fe_soln, const dealii::Quadrature< dim-1 > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, const Physics::PhysicsBase< dim, nstate, real > &physics, const NumericalFlux::NumericalFluxConvective< dim, nstate, real > &conv_num_flux, const NumericalFlux::NumericalFluxDissipative< dim, nstate, real > &diss_num_flux, dealii::Vector< real > &local_rhs_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the boundary.
Definition: weak_dg.cpp:1322
PHiLiP::DGBaseState
Abstract class templated on the number of state variables.
Definition: dg_base_state.hpp:18
PHiLiP::DGWeak::assemble_volume_codi_taped_derivatives
void assemble_volume_codi_taped_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::FEValues< dim, dim > &fe_values_vol, const dealii::FESystem< dim, dim > &fe_soln, const dealii::Quadrature< dim > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, dealii::Vector< real > &local_rhs_cell, const dealii::FEValues< dim, dim > &fe_values_lagrange, const Physics::PhysicsBase< dim, nstate, real2 > &physics, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Preparation of CoDiPack taping for volume integral, and derivative evaluation.
Definition: weak_dg.cpp:3232
PHiLiP::DGBase::Triangulation
MeshType Triangulation
Definition: dg_base.hpp:89
PHiLiP::DGWeak::assemble_volume_term_explicit
void assemble_volume_term_explicit(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const dealii::FEValues< dim, dim > &fe_values_volume, const std::vector< dealii::types::global_dof_index > &current_dofs_indices, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const unsigned int poly_degree, const unsigned int grid_degree, dealii::Vector< real > &current_cell_rhs, const dealii::FEValues< dim, dim > &fe_values_lagrange)
Evaluate the integral over the cell volume.
Definition: weak_dg.cpp:460
PHiLiP::DGWeak::assemble_boundary_term_and_build_operators
void assemble_boundary_term_and_build_operators(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const unsigned int iface, const unsigned int boundary_id, const real penalty, const std::vector< dealii::types::global_dof_index > &cell_dofs_indices, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const unsigned int poly_degree, const unsigned int grid_degree, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::basis_functions< dim, 2 *dim, real > &, OPERATOR::local_basis_stiffness< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::vol_projection_operator< dim, 2 *dim, real > &, OPERATOR::metric_operators< real, dim, 2 *dim > &, OPERATOR::mapping_shape_functions< dim, 2 *dim, real > &, std::array< std::vector< real >, dim > &, dealii::hp::FEFaceValues< dim, dim > &fe_values_collection_face_int, const dealii::FESystem< dim, dim > &current_fe_ref, dealii::Vector< real > &local_rhs_int_cell, std::vector< dealii::Tensor< 1, dim, real >> &, const bool, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Builds the necessary fe values and assembles boundary residual.
Definition: weak_dg.cpp:3687
PHiLiP::DGWeak::assemble_boundary_term_derivatives
void assemble_boundary_term_derivatives(typename dealii::DoFHandler< dim >::active_cell_iterator cell, const dealii::types::global_dof_index current_cell_index, const unsigned int face_number, const unsigned int boundary_id, const dealii::FEFaceValuesBase< dim, dim > &fe_values_boundary, const real penalty, const dealii::FESystem< dim, dim > &fe, const dealii::Quadrature< dim-1 > &quadrature, const std::vector< dealii::types::global_dof_index > &metric_dof_indices, const std::vector< dealii::types::global_dof_index > &soln_dof_indices, dealii::Vector< real > &local_rhs_cell, const bool compute_dRdW, const bool compute_dRdX, const bool compute_d2R)
Evaluate the integral over the cell edges that are on domain boundaries and the specified derivatives...
Definition: weak_dg.cpp:1396
PHiLiP::DGBase
DGBase is independent of the number of state variables.
Definition: dg_base.hpp:82
PHiLiP::OPERATOR::vol_projection_operator
Projection operator corresponding to basis functions onto M-norm (L2).
Definition: operators.h:694
PHiLiP::OPERATOR::local_basis_stiffness
Local stiffness matrix without jacobian dependence.
Definition: operators.h:472