dolfin::Map Class Reference

#include <Map.h>

Inheritance diagram for dolfin::Map:

[legend]Collaboration diagram for dolfin::Map:

[legend]List of all members.


Public Member Functions
	Map ()
virtual	~Map ()
virtual Point	operator() (const Point &p) const=0
	Evaluate map from reference cell.
virtual Point	operator() (const Point &p, unsigned int boundary) const=0
real	det () const
	Return determinant of derivative of map to interior of cell.
real	bdet () const
	Return determinant of derivative of map to boundary of cell.
int	boundary () const
	Return current boundary (triangle or tetrahedron) of cell.
const Cell &	cell () const
	Return current cell.
virtual void	update (const Cell &cell)=0
	Update map to given cell.
virtual void	update (const Edge &edge)
	Update map to cell of given edge.
virtual void	update (const Face &face)
	Update map to cell of given face.
real	ddx (real a) const
	Return derivative of constant.
real	ddy (real a) const
real	ddz (real a) const
real	ddt (real a) const
virtual const FunctionSpace::ElementFunction	ddx (const FunctionSpace::ShapeFunction &v) const=0
	Return derivative of shape function.
virtual const FunctionSpace::ElementFunction	ddy (const FunctionSpace::ShapeFunction &v) const=0
virtual const FunctionSpace::ElementFunction	ddz (const FunctionSpace::ShapeFunction &v) const=0
virtual const FunctionSpace::ElementFunction	ddt (const FunctionSpace::ShapeFunction &v) const=0
Protected Member Functions
void	reset ()
Protected Attributes
int	dim
real	f11
real	f12
real	f13
real	f21
real	f22
real	f23
real	f31
real	f32
real	f33
real	g11
real	g12
real	g13
real	g21
real	g22
real	g23
real	g31
real	g32
real	g33
real	d
real	bd
int	_boundary
const Cell *	_cell

Detailed Description

Map from reference cell to actual cell, including the derivative of the map and the inverse of the derivative.

It is assumed that the map is affine (constant determinant) and that the reference cells are given by

(0) - (1) in 1D

(0,0) - (1,0) in 2D

(0,0,0) - (1,0,0) - (0,1,0) - (0,0,1) in 3D

Constructor & Destructor Documentation

Map::Map ( )

Map::~Map ( ) [virtual]

Member Function Documentation

real Map::bdet ( ) const

Return determinant of derivative of map to boundary of cell.

int Map::boundary ( ) const

Return current boundary (triangle or tetrahedron) of cell.

const Cell & Map::cell ( ) const

Return current cell.

virtual const FunctionSpace::ElementFunction dolfin::Map::ddt ( const FunctionSpace::ShapeFunction & v ) const [pure virtual]

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

real Map::ddt ( real a ) const

virtual const FunctionSpace::ElementFunction dolfin::Map::ddx ( const FunctionSpace::ShapeFunction & v ) const [pure virtual]

Return derivative of shape function.

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

real Map::ddx ( real a ) const

Return derivative of constant.

virtual const FunctionSpace::ElementFunction dolfin::Map::ddy ( const FunctionSpace::ShapeFunction & v ) const [pure virtual]

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

real Map::ddy ( real a ) const

virtual const FunctionSpace::ElementFunction dolfin::Map::ddz ( const FunctionSpace::ShapeFunction & v ) const [pure virtual]

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

real Map::ddz ( real a ) const

real Map::det ( ) const

Return determinant of derivative of map to interior of cell.

virtual Point dolfin::Map::operator() ( const Point & p,

unsigned int boundary

) const [pure virtual]

Evaluate map from reference boundary of reference cell to the given boundary on the current cell
Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

virtual Point dolfin::Map::operator() ( const Point & p ) const [pure virtual]

Evaluate map from reference cell.

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.

void Map::reset ( ) [protected]

void Map::update ( const Face & face ) [virtual]

Update map to cell of given face.

Reimplemented in dolfin::P1TetMap.

void Map::update ( const Edge & edge ) [virtual]

Update map to cell of given edge.

Reimplemented in dolfin::P1TriMap.

virtual void dolfin::Map::update ( const Cell & cell ) [pure virtual]

Update map to given cell.

Implemented in dolfin::P1IntMap, dolfin::P1TetMap, and dolfin::P1TriMap.