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

#include <mapping_p1.hh>

Inheritance diagram for MappingP1< dim, spacedim >:

Collaboration diagram for MappingP1< dim, spacedim >:

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...

MappingInternalData *	initialize (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 ElementAccessor< 3 > &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 ElementAccessor< 3 > &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 (ElementAccessor< 3 > 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)

bool	contains_point (arma::vec point, ElementAccessor< 3 > elm)
	Test if element contains given point. More...

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

dim	Dimension of the cells.
spacedim	Dimension of the Euclidean space.

Definition at line 65 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 69 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 71 of file mapping_p1.hh.

template<unsigned int dim, unsigned int spacedim>

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

Definition at line 70 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>

bool MappingP1< dim, spacedim >::contains_point	(	arma::vec	point,
		ElementAccessor< 3 >	elm
	)

Test if element contains given point.

Definition at line 302 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>

auto MappingP1< dim, spacedim >::element_map ( ElementAccessor< 3 > 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 ElementAccessor< 3 > &	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

cell	The actual cell.
sid	Number of the side.
q	The quadrature rule with points on the side.
data	Precomputed mapping data.
fv_data	Data 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 ElementAccessor< 3 > &	cell,
		const Quadrature< dim > &	q,
		MappingInternalData &	data,
		FEValuesData< dim, spacedim > &	fv_data
	)

virtual

Calculates the mapping data on the actual cell.

Parameters

cell	The actual cell.
q	Quadrature rule.
data	Precomputed mapping data.
fv_data	Data 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

q	Quadrature rule.
flags	Update 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.

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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

flags Update 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 160 of file mapping_p1.hh.

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

/opt/flow123d/flow123d/src/fem/mapping_p1.hh
/opt/flow123d/flow123d/src/fem/mapping_p1.cc

Public Types

Public Member Functions

Private Attributes

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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