#include <deal.II/fe/mapping_c1.h>

Inheritance diagram for MappingC1< dim, spacedim >::MappingC1Generic:

Public Member Functions
	MappingC1Generic ()

virtual void	add_line_support_points (const typename Triangulation< dim >::cell_iterator &cell, std::vector< Point< dim >> &a) const override

virtual void	add_quad_support_points (const typename Triangulation< dim >::cell_iterator &cell, std::vector< Point< dim >> &a) const override

void	add_line_support_points (const Triangulation< 1 >::cell_iterator &, std::vector< Point< 1 >> &) const

void	add_line_support_points (const Triangulation< 2 >::cell_iterator &cell, std::vector< Point< 2 >> &a) const

void	add_quad_support_points (const Triangulation< 1 >::cell_iterator &, std::vector< Point< 1 >> &) const

void	add_quad_support_points (const Triangulation< 2 >::cell_iterator &, std::vector< Point< 2 >> &) const

Public Member Functions inherited from MappingQGeneric< dim, spacedim >
	MappingQGeneric (const unsigned int polynomial_degree)

	MappingQGeneric (const MappingQGeneric< dim, spacedim > &mapping)

virtual std::unique_ptr< Mapping< dim, spacedim > >	clone () const override

unsigned int	get_degree () const

virtual bool	preserves_vertex_locations () const override

virtual Point< spacedim >	transform_unit_to_real_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< dim > &p) const override

virtual Point< dim >	transform_real_to_unit_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const override

virtual void	transform (const ArrayView< const Tensor< 1, dim >> &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 1, spacedim >> &output) const override

virtual void	transform (const ArrayView< const DerivativeForm< 1, dim, spacedim >> &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim >> &output) const override

virtual void	transform (const ArrayView< const Tensor< 2, dim >> &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 2, spacedim >> &output) const override

virtual void	transform (const ArrayView< const DerivativeForm< 2, dim, spacedim >> &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim >> &output) const override

virtual void	transform (const ArrayView< const Tensor< 3, dim >> &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim >> &output) const override

virtual UpdateFlags	requires_update_flags (const UpdateFlags update_flags) const override

virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase >	get_data (const UpdateFlags, const Quadrature< dim > &quadrature) const override

virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase >	get_face_data (const UpdateFlags flags, const Quadrature< dim - 1 > &quadrature) const override

virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase >	get_subface_data (const UpdateFlags flags, const Quadrature< dim - 1 > &quadrature) const override

virtual CellSimilarity::Similarity	fill_fe_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override

virtual void	fill_fe_face_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override

virtual void	fill_fe_subface_values (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int subface_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override

Public Member Functions inherited from Mapping< dim, dim >
virtual	~Mapping () override=default

virtual std::unique_ptr< Mapping< dim, spacedim > >	clone () const=0

virtual std::array< Point< spacedim >, GeometryInfo< dim >::vertices_per_cell >	get_vertices (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

virtual Point< spacedim >	get_center (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const bool map_center_of_reference_cell=true) const

virtual BoundingBox< spacedim >	get_bounding_box (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

virtual bool	preserves_vertex_locations () const=0

Point< dim - 1 >	project_real_point_to_unit_point_on_face (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const Point< spacedim > &p) const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Additional Inherited Members
Static Public Member Functions inherited from Mapping< dim, dim >
static ::ExceptionBase &	ExcInvalidData ()

static ::ExceptionBase &	ExcTransformationFailed ()

static ::ExceptionBase &	ExcDistortedMappedCell (Point< spacedim > arg1, double arg2, int arg3)

Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Protected Member Functions inherited from MappingQGeneric< dim, spacedim >
virtual std::vector< Point< spacedim > >	compute_mapping_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

Point< dim >	transform_real_to_unit_cell_internal (const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p, const Point< dim > &initial_p_unit) const

virtual void	add_line_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell, std::vector< Point< spacedim >> &a) const

virtual void	add_quad_support_points (const typename Triangulation< dim, spacedim >::cell_iterator &cell, std::vector< Point< spacedim >> &a) const

Point< 1 >	transform_real_to_unit_cell_internal (const Triangulation< 1, 1 >::cell_iterator &cell, const Point< 1 > &p, const Point< 1 > &initial_p_unit) const

Point< 2 >	transform_real_to_unit_cell_internal (const Triangulation< 2, 2 >::cell_iterator &cell, const Point< 2 > &p, const Point< 2 > &initial_p_unit) const

Point< 3 >	transform_real_to_unit_cell_internal (const Triangulation< 3, 3 >::cell_iterator &cell, const Point< 3 > &p, const Point< 3 > &initial_p_unit) const

Point< 1 >	transform_real_to_unit_cell_internal (const Triangulation< 1, 2 >::cell_iterator &cell, const Point< 2 > &p, const Point< 1 > &initial_p_unit) const

Point< 2 >	transform_real_to_unit_cell_internal (const Triangulation< 2, 3 >::cell_iterator &cell, const Point< 3 > &p, const Point< 2 > &initial_p_unit) const

Point< 1 >	transform_real_to_unit_cell_internal (const Triangulation< 1, 3 >::cell_iterator &, const Point< 3 > &, const Point< 1 > &) const

void	add_quad_support_points (const Triangulation< 3, 3 >::cell_iterator &cell, std::vector< Point< 3 >> &a) const

void	add_quad_support_points (const Triangulation< 2, 3 >::cell_iterator &cell, std::vector< Point< 3 >> &a) const

Interface with FEValues
Protected Attributes inherited from MappingQGeneric< dim, spacedim >
const unsigned int	polynomial_degree

QGaussLobatto< 1 >	line_support_points

std::vector< Table< 2, double > >	support_point_weights_perimeter_to_interior

Table< 2, double >	support_point_weights_cell

Detailed Description

template<int dim, int spacedim = dim>
class MappingC1< dim, spacedim >::MappingC1Generic

A class derived from MappingQGeneric that provides the generic mapping with support points on boundary objects so that the corresponding Q3 mapping ends up being C1.

Definition at line 62 of file mapping_c1.h.

Constructor & Destructor Documentation

◆ MappingC1Generic()

template<int dim, int spacedim>

MappingC1< dim, spacedim >::MappingC1Generic::MappingC1Generic

Constructor.

Definition at line 31 of file mapping_c1.cc.

Member Function Documentation

◆ add_line_support_points() [1/3]

template<int dim, int spacedim>

void MappingC1< dim, spacedim >::MappingC1Generic::add_line_support_points	(	const typename Triangulation< dim >::cell_iterator &	cell,
		std::vector< Point< dim >> &	a
	)		const

overridevirtual

For dim=2,3. Append the support points of all shape functions located on bounding lines to the vector a. Points located on the line but on vertices are not included.

This function chooses the respective points not such that they are interpolating the boundary (as does the base class), but rather such that the resulting cubic mapping is a continuous one.

Definition at line 175 of file mapping_c1.cc.

◆ add_quad_support_points() [1/3]

template<int dim, int spacedim>

void MappingC1< dim, spacedim >::MappingC1Generic::add_quad_support_points	(	const typename Triangulation< dim >::cell_iterator &	cell,
		std::vector< Point< dim >> &	a
	)		const

overridevirtual

For dim=3. Append the support points of all shape functions located on bounding faces (quads in 3d) to the vector a. Points located on the line but on vertices are not included.

This function chooses the respective points not such that they are interpolating the boundary (as does the base class), but rather such that the resulting cubic mapping is a continuous one.

Definition at line 212 of file mapping_c1.cc.

◆ add_line_support_points() [2/3]

void MappingC1::MappingC1Generic< 1 >::add_line_support_points	(	const Triangulation< 1 >::cell_iterator &	,
		std::vector< Point< 1 >> &
	)		const

Definition at line 56 of file mapping_c1.cc.

◆ add_line_support_points() [3/3]

void MappingC1::MappingC1Generic< 2 >::add_line_support_points	(	const Triangulation< 2 >::cell_iterator &	cell,
		std::vector< Point< 2 >> &	a
	)		const

Definition at line 69 of file mapping_c1.cc.

◆ add_quad_support_points() [2/3]

void MappingC1::MappingC1Generic< 1 >::add_quad_support_points	(	const Triangulation< 1 >::cell_iterator &	,
		std::vector< Point< 1 >> &
	)		const

Definition at line 186 of file mapping_c1.cc.

◆ add_quad_support_points() [3/3]

void MappingC1::MappingC1Generic< 2 >::add_quad_support_points	(	const Triangulation< 2 >::cell_iterator &	,
		std::vector< Point< 2 >> &
	)		const

Definition at line 199 of file mapping_c1.cc.

The documentation for this class was generated from the following files:

include/deal.II/fe/mapping_c1.h
source/fe/mapping_c1.cc

Public Member Functions

Additional Inherited Members

Detailed Description

template<int dim, int spacedim = dim> class MappingC1< dim, spacedim >::MappingC1Generic

Constructor & Destructor Documentation

◆ MappingC1Generic()

Member Function Documentation

◆ add_line_support_points() [1/3]

◆ add_quad_support_points() [1/3]

◆ add_line_support_points() [2/3]

◆ add_line_support_points() [3/3]

◆ add_quad_support_points() [2/3]

◆ add_quad_support_points() [3/3]

template<int dim, int spacedim = dim>
class MappingC1< dim, spacedim >::MappingC1Generic