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

Inheritance diagram for MappingC1< dim, spacedim >:

Classes
class	MappingC1Generic

Public Member Functions
	MappingC1 ()

virtual Mapping< dim, spacedim > *	clone () const

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

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

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

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

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

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

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

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

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

virtual std_cxx11::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

	DeclException0 (ExcInvalidData)

	DeclExceptionMsg (ExcTransformationFailed, "Computing the mapping between a real space point and a point in reference " "space failed, typically because the given point lies outside the cell " "where the inverse mapping is not unique.")

	DeclException3 (ExcDistortedMappedCell, Point< spacedim >, double, int,<< "The image of the mapping applied to cell with center ["<< arg1<< "] is distorted. The cell geometry or the "<< "mapping are invalid, giving a non-positive volume "<< "fraction of "<< arg2<< " in quadrature point "<< arg3<< ".")

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

	DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects."<< "\"<< "(Additional information: "<< arg3<< ")\"<< "See the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "a lot more information on what this error means and "<< "how to fix programs in which it happens.")

	DeclException2 (ExcNoSubscriber, char , char ,<< "No subscriber with identifier <"<< arg2<< "> subscribes to this object of class "<< arg1<< ". Consequently, it cannot be unsubscribed.")

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

Additional Inherited Members
Protected Member Functions inherited from MappingQ< dim, spacedim >
virtual UpdateFlags	requires_update_flags (const UpdateFlags update_flags) const

virtual InternalData *	get_data (const UpdateFlags, const Quadrature< dim > &quadrature) const

virtual InternalData *	get_face_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const

virtual InternalData *	get_subface_data (const UpdateFlags flags, const Quadrature< dim-1 > &quadrature) const

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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const

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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const

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::FEValues::MappingRelatedData< dim, spacedim > &output_data) const

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::FEValues::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::FEValues::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::FEValues::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_cxx11::shared_ptr< const MappingQGeneric< dim, spacedim > >	q1_mapping

std_cxx11::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.

To use this class, make sure that the Boundary::get_normals_at_vertices() function is implemented for the user's boundary object.

Author: Wolfgang Bangerth, 2001, 2015

Definition at line 42 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 35 of file mapping_c1.cc.

Member Function Documentation

§ clone()

template<int dim, int spacedim>

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

virtual

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 209 of file mapping_c1.cc.

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

deal.II/fe/mapping_c1.h
/build/deal.ii-pdtiAo/deal.ii-8.4.2/source/fe/mapping_c1.cc

Classes

Public Member Functions