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...)
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
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