17 #include <deal.II/base/polynomials_bernstein.h> 18 #include <deal.II/base/qprojector.h> 19 #include <deal.II/base/quadrature.h> 20 #include <deal.II/base/quadrature_lib.h> 21 #include <deal.II/base/std_cxx14/memory.h> 23 #include <deal.II/fe/fe_bernstein.h> 24 #include <deal.II/fe/fe_nothing.h> 25 #include <deal.II/fe/fe_q.h> 26 #include <deal.II/fe/fe_tools.h> 32 DEAL_II_NAMESPACE_OPEN
36 template <
int dim,
int spacedim>
39 this->renumber_bases(degree),
44 std::vector<bool>(1, false))
49 template <
int dim,
int spacedim>
63 template <
int dim,
int spacedim>
78 template <
int dim,
int spacedim>
93 template <
int dim,
int spacedim>
102 interpolation_matrix);
106 template <
int dim,
int spacedim>
110 const unsigned int subface,
145 2e-13 * std::max(this->
degree, source_fe->degree) * (dim - 1);
157 for (
unsigned int i = 0; i < source_fe->dofs_per_face; ++i)
159 const Point<dim> &p = subface_quadrature.point(i);
162 double matrix_entry =
168 if (std::fabs(matrix_entry - 1.0) < eps)
170 if (std::fabs(matrix_entry) < eps)
173 interpolation_matrix(i, j) = matrix_entry;
179 for (
unsigned int j = 0; j < source_fe->dofs_per_face; ++j)
184 sum += interpolation_matrix(j, i);
189 else if (
dynamic_cast<const FE_Nothing<dim> *
>(&x_source_fe) !=
nullptr)
202 template <
int dim,
int spacedim>
210 template <
int dim,
int spacedim>
211 std::vector<std::pair<unsigned int, unsigned int>>
221 return std::vector<std::pair<unsigned int, unsigned int>>(
222 1, std::make_pair(0U, 0U));
228 return std::vector<std::pair<unsigned int, unsigned int>>();
239 return std::vector<std::pair<unsigned int, unsigned int>>();
244 return std::vector<std::pair<unsigned int, unsigned int>>();
249 template <
int dim,
int spacedim>
250 std::vector<std::pair<unsigned int, unsigned int>>
260 return std::vector<std::pair<unsigned int, unsigned int>>();
264 template <
int dim,
int spacedim>
265 std::vector<std::pair<unsigned int, unsigned int>>
275 return std::vector<std::pair<unsigned int, unsigned int>>();
279 template <
int dim,
int spacedim>
287 if (this->degree < fe_b_other->
degree)
289 else if (this->degree == fe_b_other->degree)
297 if (fe_nothing->is_dominating())
315 template <
int dim,
int spacedim>
323 std::ostringstream namebuf;
324 namebuf <<
"FE_Bernstein<" << dim <<
">(" << this->
degree <<
")";
325 return namebuf.str();
329 template <
int dim,
int spacedim>
330 std::unique_ptr<FiniteElement<dim, spacedim>>
333 return std_cxx14::make_unique<FE_Bernstein<dim, spacedim>>(*this);
340 template <
int dim,
int spacedim>
341 std::vector<unsigned int>
345 std::vector<unsigned int> dpo(dim + 1, 1U);
346 for (
unsigned int i = 1; i < dpo.size(); ++i)
347 dpo[i] = dpo[i - 1] * (deg - 1);
352 template <
int dim,
int spacedim>
357 ::generate_complete_bernstein_basis<double>(deg));
358 std::vector<unsigned int> renumber(Utilities::fixed_power<dim>(deg + 1));
367 #include "fe_bernstein.inst" 369 DEAL_II_NAMESPACE_CLOSE
virtual void get_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const override
static const unsigned int invalid_unsigned_int
std::vector< std::vector< FullMatrix< double > > > restriction
FE_Bernstein(const unsigned int p)
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_line_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
virtual double shape_value(const unsigned int i, const Point< dim > &p) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_vertex_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
const unsigned int degree
void set_numbering(const std::vector< unsigned int > &renumber)
virtual std::unique_ptr< FiniteElement< dim, spacedim > > clone() const override
#define AssertThrow(cond, exc)
static::ExceptionBase & ExcInterpolationNotImplemented()
static::ExceptionBase & ExcMessage(std::string arg1)
static::ExceptionBase & ExcImpossibleInDim(int arg1)
std::vector< std::vector< FullMatrix< double > > > prolongation
#define Assert(cond, exc)
static::ExceptionBase & ExcDimensionMismatch(std::size_t arg1, std::size_t arg2)
virtual unsigned int face_to_cell_index(const unsigned int face_dof_index, const unsigned int face, const bool face_orientation=true, const bool face_flip=false, const bool face_rotation=false) const override
virtual FiniteElementDomination::Domination compare_for_face_domination(const FiniteElement< dim, spacedim > &fe_other) const override
TensorProductPolynomials< dim > renumber_bases(const unsigned int degree)
static void project_to_subface(const SubQuadrature &quadrature, const unsigned int face_no, const unsigned int subface_no, std::vector< Point< dim >> &q_points, const RefinementCase< dim-1 > &ref_case=RefinementCase< dim-1 >::isotropic_refinement)
virtual const FullMatrix< double > & get_prolongation_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
static void project_to_face(const SubQuadrature &quadrature, const unsigned int face_no, std::vector< Point< dim >> &q_points)
virtual bool hp_constraints_are_implemented() const override
virtual std::string get_name() const override
static std::vector< unsigned int > get_dpo_vector(const unsigned int degree)
const unsigned int dofs_per_face
static::ExceptionBase & ExcNotImplemented()
virtual void get_face_interpolation_matrix(const FiniteElement< dim, spacedim > &source, FullMatrix< double > &matrix) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_quad_dof_identities(const FiniteElement< dim, spacedim > &fe_other) const override
const std::vector< Point< dim-1 > > & get_unit_face_support_points() const
virtual const FullMatrix< double > & get_restriction_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
virtual void get_subface_interpolation_matrix(const FiniteElement< dim, spacedim > &source, const unsigned int subface, FullMatrix< double > &matrix) const override
static::ExceptionBase & ExcInternalError()