MappingP1< dim, spacedim > Class Template Reference

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

#include <mapping_p1.hh>

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

Static Public Member Functions
static UpdateFlags	update_each (UpdateFlags flags)
	Determines which additional quantities have to be computed. More...
static ElementMap	element_map (ElementAccessor< 3 > elm)
static arma::mat::fixed< spacedim, dim >	jacobian (const ElementMap &coords)
static BaryPoint	project_real_to_unit (const RealPoint &point, const ElementMap &map)
static RealPoint	project_unit_to_real (const BaryPoint &point, const ElementMap &map)
static BaryPoint	clip_to_element (BaryPoint &barycentric)
static bool	contains_point (arma::vec point, ElementAccessor< 3 > elm)
	Test if element contains given point. More...

Detailed Description

template<unsigned int dim, unsigned int spacedim = 3>
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 58 of file mapping_p1.hh.

Member Typedef Documentation

template<unsigned int dim, unsigned int spacedim = 3>

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

Definition at line 62 of file mapping_p1.hh.

template<unsigned int dim, unsigned int spacedim = 3>

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

Definition at line 64 of file mapping_p1.hh.

template<unsigned int dim, unsigned int spacedim = 3>

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

Definition at line 63 of file mapping_p1.hh.

Member Function Documentation

template<unsigned int dim, unsigned int spacedim>

auto MappingP1< dim, spacedim >::clip_to_element ( BaryPoint &  barycentric )

static

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 91 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  )

static

Test if element contains given point.

Definition at line 96 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 )

static

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 48 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>

auto MappingP1< dim, spacedim >::jacobian ( const ElementMap &  coords )

static

Compute jacobian matrix for an element given by the coords element map.

Definition at line 58 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>

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

static

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 69 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  )

static

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 85 of file mapping_p1.cc.

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template<unsigned int dim, unsigned int spacedim>

UpdateFlags MappingP1< dim, spacedim >::update_each ( UpdateFlags  flags )

static

Determines which additional quantities have to be computed.

Parameters

flags

Update flags for required quantities.

Returns

All necessary flags.

Definition at line 30 of file mapping_p1.cc.

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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