DUNE-FEM (unstable)

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
dimensionDimension of the simplices
CoordTypeThe C++ type of the coordinates

Runtime is of order O(dimension)

Parameters
pointPoint to map
kuhnPermutation 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
dimensionDimension of the simplices
CoordTypeThe C++ type of the coordinates

Runtime is of order O(dimension)

Parameters
pointPoint to map
kuhnPermutation of the Kuhn simplex to map to
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