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

Inheritance diagram for MappingC1< dim, spacedim >:

Classes
class	MappingC1Generic

Public Member Functions
	MappingC1 ()

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

Public Member Functions inherited from MappingQ< dim, spacedim >
	MappingQ (const unsigned int polynomial_degree, const bool use_mapping_q_on_all_cells=false)

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

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 MappingType type, 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 MappingType type, 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 MappingType type, 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 MappingType type, 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 MappingType type, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 3, spacedim >> &output) const override

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

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

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, spacedim >
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 MappingQ< dim, spacedim >
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

Protected Member Functions inherited from Mapping< dim, spacedim >
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 =0

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 =0

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 =0

Protected Attributes inherited from MappingQ< dim, spacedim >
const unsigned int	polynomial_degree

const bool	use_mapping_q_on_all_cells

std::shared_ptr< const MappingQGeneric< dim, spacedim > >	q1_mapping

std::shared_ptr< const MappingQGeneric< dim, spacedim > >	qp_mapping

Detailed Description

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

Mapping class that uses C1 (continuously differentiable) cubic mappings of the boundary. This class is built atop of MappingQ by simply determining the interpolation points for a cubic mapping of the boundary differently: MappingQ chooses them such that they interpolate the boundary, while this class chooses them such that the discretized boundary is globally continuously differentiable.

Author: Wolfgang Bangerth, 2001, 2015

Definition at line 40 of file mapping_c1.h.

Constructor & Destructor Documentation

◆ MappingC1()

template<int dim, int spacedim>

MappingC1< dim, spacedim >::MappingC1 ( )

Constructor. Pass the fixed degree 3 down to the base class, as a cubic mapping suffices to generate a continuous mapping of the boundary.

Definition at line 38 of file mapping_c1.cc.

Member Function Documentation

◆ clone()

template<int dim, int spacedim>

std::unique_ptr< Mapping< dim, spacedim > > MappingC1< dim, spacedim >::clone ( ) const

overridevirtual

Return a pointer to a copy of the present object. The caller of this copy then assumes ownership of it.

Reimplemented from MappingQ< dim, spacedim >.

Definition at line 223 of file mapping_c1.cc.

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

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

Classes

Public Member Functions