MappingC1< dim, spacedim > Class Template Reference

#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
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 (const char *identifier=nullptr) const
void	unsubscribe (const char *identifier=nullptr) 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

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

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
• /mnt/data/darndt/Sources/dealii-clang-6.0.0/source/fe/mapping_c1.cc