Dune::RefinementImp::Simplex Namespace Reference

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

Functions
Utilities
template<int dimension>
int	pointIndex (const FieldVector< int, dimension > &point)
	calculate the index of a given gridpoint within a Kuhn0 simplex More...
template<int n>
FieldVector< int, n >	getPermutation (int m)
	Calculate permutation from it's index. More...
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. More...
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. More...

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)

References Dune::binomial().

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