Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet > Class Template Reference

A class for permuting Lagrange DOFs of arbitrary order for dimensions 1,2,3. More...

#include <dune/functions/functionspacebases/lagrangebasis.hh>

Public Member Functions
	LagrangeFaceDOFPermutation (const IndexIdSet &indexSet, int order)
template<class Element >
FaceOrientations< dim >	computeFaceOrientations (const Element &element) const
	Compute FaceOrientations for grid elements. More...
unsigned int	permuteFaceDOF (unsigned int subEntity, unsigned int codim, unsigned int index, const FaceOrientations< dim > &orientations) const
	Compute permuted index of a face DOF. More...
unsigned int	permuteFaceDOF (const Dune::LocalKey &localKey, const FaceOrientations< dim > &orientations) const
	Compute permuted index of a face DOF. More...

Static Public Attributes
static constexpr unsigned int	maxOrder3d = 17
	Maximal supported polynomial order. More...

Detailed Description

template<class IndexIdSet>
class Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >

A class for permuting Lagrange DOFs of arbitrary order for dimensions 1,2,3.

Template Parameters

IndexIdSet

An IndexSet or IdSet used to define globally unique face orientations

This class can be used to permute local Lagrange DOFs to get local per-face DOF indices that are unique among adjacent elements. While permutation of edge DOFs corresponds to a simple flip, permutation of DOFs associated to triangular and quadrilateral faces is more involved and thus looked up from pre-computed tables.

Constructor & Destructor Documentation

LagrangeFaceDOFPermutation()

template<class IndexIdSet >

Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >::LagrangeFaceDOFPermutation ( const IndexIdSet &  indexSet, int  order  )

inline

Parameters

indexSet	The gridView indexSet containing the elements and vertices
order	The polynomial order of the shape functions

References Dune::range(), and Dune::size().

Member Function Documentation

computeFaceOrientations()

template<class IndexIdSet >

template<class Element >

FaceOrientations< dim > Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >::computeFaceOrientations ( const Element &  element ) const

inline

Compute FaceOrientations for grid elements.

The returned FaceOrientations object encodes the orientations of all faces of the given element wrt. to the globally unique orientation provided by the index/id set and can be used to compute permuted face DOF indices using permuteFaceDOF

References Dune::transformedRangeView().

permuteFaceDOF() [1/2]

template<class IndexIdSet >

unsigned int Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >::permuteFaceDOF ( const Dune::LocalKey &  localKey, const FaceOrientations< dim > &  orientations  ) const

inline

Compute permuted index of a face DOF.

Parameters

localKey	A Dune::LocalKey identifying a local DOF
orientations	A FaceOrientations object obtained by computeFaceOrientations

Returns

The permuted local index of the DOF within the subentity

The resulting local DOF index is permuted to match the global orientation induced by the index/id set. I.e. it is guaranteed to be consistent among all adjacent grid elements.

References Dune::LocalKey::codim(), Dune::LocalKey::index(), and Dune::LocalKey::subEntity().

permuteFaceDOF() [2/2]

template<class IndexIdSet >

unsigned int Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >::permuteFaceDOF ( unsigned int  subEntity, unsigned int  codim, unsigned int  index, const FaceOrientations< dim > &  orientations  ) const

inline

Compute permuted index of a face DOF.

Parameters

subEntity	The index of the subentity the DOF is associated to
codim	The codim of the subentity the DOF is associated to
index	The local index of the DOF within the subentity
orientations	A FaceOrientations object obtained by computeFaceOrientations

Returns

The permuted local index of the DOF within the subentity

The resulting local DOF index is permuted to match the global orientation induced by the index/id set. I.e. it is guaranteed to be consistent among all adjacent grid elements.

References Dune::Functions::Experimental::FaceOrientations< dim >::faceOrientationIndex().

Member Data Documentation

maxOrder3d

template<class IndexIdSet >

constexpr unsigned int Dune::Functions::Experimental::LagrangeFaceDOFPermutation< IndexIdSet >::maxOrder3d = 17

staticconstexpr

Maximal supported polynomial order.

This is limited by the internally used type to represent face-local indices of DOFs.

---

The documentation for this class was generated from the following file:

• dune/functions/functionspacebases/lagrangebasis.hh