Dune::RefinementImp::Simplex Namespace Reference

This namespace contains the Refinement implementation for simplices (triangles, tetrahedrons...) More...

Classes
class	RefinementImp
class	RefinementIteratorSpecial
class	RefinementIteratorSpecial< dimension, CoordType, 0 >
class	RefinementIteratorSpecial< dimension, CoordType, dimension >

Functions
Utilities
template<int dimension>
int	pointIndex (const FieldVector< int, dimension > &point)
	calculate the index of a given gridpoint within a Kuhn0 simplex
template<int n>
FieldVector< int, n >	getPermutation (int m)
	Calculate permutation from it's index.
template<int dimension, class CoordType >
FieldVector< CoordType, dimension >	referenceToKuhn (FieldVector< CoordType, dimension > point, const FieldVector< int, dimension > &kuhn)
	Map from the reference simplex to some Kuhn simplex.
template<int dimension, class CoordType >
FieldVector< CoordType, dimension >	kuhnToReference (FieldVector< CoordType, dimension > point, const FieldVector< int, dimension > &kuhn)
	Map from some Kuhn simplex to the reference simplex.

Detailed Description

This namespace contains the Refinement implementation for simplices (triangles, tetrahedrons...)

See Refinement implementation for simplices.

Function Documentation

getPermutation()

template<int n>

FieldVector< int, n > Dune::RefinementImp::Simplex::getPermutation

(

int

m

)

Calculate permutation from it's index.

Runtime is of order O(n).

kuhnToReference()

template<int dimension, class CoordType >

FieldVector< CoordType, dimension > Dune::RefinementImp::Simplex::kuhnToReference	(	FieldVector< CoordType, dimension >	point,
		const FieldVector< int, dimension > &	kuhn
	)

Map from some Kuhn simplex to the reference simplex.

Template Parameters

dimension	Dimension of the simplices
CoordType	The C++ type of the coordinates

Runtime is of order O(dimension)

Parameters

point	Point to map
kuhn	Permutation of the Kuhn simplex to map from

pointIndex()

template<int dimension>

int Dune::RefinementImp::Simplex::pointIndex

(

const FieldVector< int, dimension > &

point

)

calculate the index of a given gridpoint within a Kuhn0 simplex

Runtime is of order O(dimension^2) (or better for dimension > the coordinates of the point)

referenceToKuhn()

template<int dimension, class CoordType >

FieldVector< CoordType, dimension > Dune::RefinementImp::Simplex::referenceToKuhn	(	FieldVector< CoordType, dimension >	point,
		const FieldVector< int, dimension > &	kuhn
	)

Map from the reference simplex to some Kuhn simplex.

Template Parameters

dimension	Dimension of the simplices
CoordType	The C++ type of the coordinates

Runtime is of order O(dimension)

Parameters

point	Point to map
kuhn	Permutation of the Kuhn simplex to map to