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MappingP1< dim, spacedim > Class Template Reference

Affine mapping between reference and actual cell. More...

#include <mapping_p1.hh>

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Public Types

typedef arma::vec::fixed< dim+1 > BaryPoint
 
typedef arma::vec::fixed< spacedim > RealPoint
 
typedef arma::mat::fixed< spacedim, dim+1 > ElementMap
 

Public Member Functions

 MappingP1 ()
 Constructor. More...
 
MappingInternalDatainitialize (const Quadrature< dim > &q, UpdateFlags flags)
 Initializes the structures and computes static data. More...
 
UpdateFlags update_each (UpdateFlags flags)
 Determines which additional quantities have to be computed. More...
 
void fill_fe_values (const typename DOFHandlerBase::CellIterator &cell, const Quadrature< dim > &q, MappingInternalData &data, FEValuesData< dim, spacedim > &fv_data)
 Calculates the mapping data on the actual cell. More...
 
void fill_fe_side_values (const typename DOFHandlerBase::CellIterator &cell, unsigned int sid, const Quadrature< dim > &q, MappingInternalData &data, FEValuesData< dim, spacedim > &fv_data)
 Calculates the mapping data on a side of a cell. More...
 
ElementMap element_map (const Element &elm) const
 
BaryPoint project_real_to_unit (const RealPoint &point, const ElementMap &map) const
 
RealPoint project_unit_to_real (const BaryPoint &point, const ElementMap &map) const
 
BaryPoint clip_to_element (BaryPoint &barycentric)
 
- Public Member Functions inherited from Mapping< dim, spacedim >
virtual ~Mapping ()
 Destructor. More...
 

Private Attributes

arma::mat::fixed< dim+1, dim > grad
 Auxiliary matrix of gradients of shape functions (used for computation of the Jacobian). More...
 

Detailed Description

template<unsigned int dim, unsigned int spacedim>
class MappingP1< dim, spacedim >

Affine mapping between reference and actual cell.

Class MappingP1 implements the affine transformation of the reference cell onto the actual cell.

Parameters
dimDimension of the cells.
spacedimDimension of the Euclidean space.

Definition at line 54 of file mapping_p1.hh.

Member Typedef Documentation

template<unsigned int dim, unsigned int spacedim>
typedef arma::vec::fixed<dim+1> MappingP1< dim, spacedim >::BaryPoint

Definition at line 58 of file mapping_p1.hh.

template<unsigned int dim, unsigned int spacedim>
typedef arma::mat::fixed<spacedim, dim+1> MappingP1< dim, spacedim >::ElementMap

Definition at line 60 of file mapping_p1.hh.

template<unsigned int dim, unsigned int spacedim>
typedef arma::vec::fixed<spacedim> MappingP1< dim, spacedim >::RealPoint

Definition at line 59 of file mapping_p1.hh.

Constructor & Destructor Documentation

template<unsigned int dim, unsigned int spacedim>
MappingP1< dim, spacedim >::MappingP1 ( )

Constructor.

Definition at line 31 of file mapping_p1.cc.

Member Function Documentation

template<unsigned int dim, unsigned int spacedim>
auto MappingP1< dim, spacedim >::clip_to_element ( BaryPoint barycentric)

Clip a point given by barycentric cocordinates to the element. If the point is out of the element the closest point projection to the element surface is used.

Definition at line 297 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>
auto MappingP1< dim, spacedim >::element_map ( const Element elm) const

Map from reference element (barycentric coords) to global coord system. Matrix(3, dim+1) M: x_real = M * x_bary; M columns are real coordinates of nodes.

Definition at line 265 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>
void MappingP1< dim, spacedim >::fill_fe_side_values ( const typename DOFHandlerBase::CellIterator cell,
unsigned int  sid,
const Quadrature< dim > &  q,
MappingInternalData data,
FEValuesData< dim, spacedim > &  fv_data 
)
virtual

Calculates the mapping data on a side of a cell.

Parameters
cellThe actual cell.
sidNumber of the side.
qThe quadrature rule with points on the side.
dataPrecomputed mapping data.
fv_dataData to be computed.

Implements Mapping< dim, spacedim >.

Definition at line 162 of file mapping_p1.cc.

template<unsigned int dim, unsigned int spacedim>
void MappingP1< dim, spacedim >::fill_fe_values ( const typename DOFHandlerBase::CellIterator cell,
const Quadrature< dim > &  q,
MappingInternalData data,
FEValuesData< dim, spacedim > &  fv_data 
)
virtual

Calculates the mapping data on the actual cell.

Parameters
cellThe actual cell.
qQuadrature rule.
dataPrecomputed mapping data.
fv_dataData to be computed.

Implements Mapping< dim, spacedim >.

Definition at line 89 of file mapping_p1.cc.

template<unsigned int dim, unsigned int spacedim>
MappingInternalData * MappingP1< dim, spacedim >::initialize ( const Quadrature< dim > &  q,
UpdateFlags  flags 
)
virtual

Initializes the structures and computes static data.

Parameters
qQuadrature rule.
flagsUpdate flags.
Returns
The computed mapping data.

Implements Mapping< dim, spacedim >.

Definition at line 36 of file mapping_p1.cc.

template<unsigned int dim, unsigned int spacedim>
auto MappingP1< dim, spacedim >::project_real_to_unit ( const RealPoint point,
const ElementMap map 
) const

Project given point in real coordinates to reference element (barycentic coordinates). Result vector have dimension dim()+1. Use RefElement<dim>::bary_to_local() to get local coordinates.

Definition at line 275 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>
auto MappingP1< dim, spacedim >::project_unit_to_real ( const BaryPoint point,
const ElementMap map 
) const

Project given point from reference element (barycentic coordinates) to real coordinates. Use RefElement<dim>::local_to_bary() to get barycentric coordinates in input.

Definition at line 291 of file mapping_p1.cc.

template<unsigned int dim, unsigned int spacedim>
UpdateFlags MappingP1< dim, spacedim >::update_each ( UpdateFlags  flags)
virtual

Determines which additional quantities have to be computed.

Parameters
flagsUpdate flags for required quantities.
Returns
All necessary flags.

Implements Mapping< dim, spacedim >.

Definition at line 72 of file mapping_p1.cc.

Member Data Documentation

template<unsigned int dim, unsigned int spacedim>
arma::mat::fixed<dim+1,dim> MappingP1< dim, spacedim >::grad
private

Auxiliary matrix of gradients of shape functions (used for computation of the Jacobian).

Definition at line 146 of file mapping_p1.hh.


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