Dumux::PQ3LagrangeDofHelper< GridView > Struct Template Reference

DOF index and position helper for order-3 Lagrange discretizations. More...

#include <dumux/discretization/pq3/dofhelper.hh>

Description

template<class GridView>
struct Dumux::PQ3LagrangeDofHelper< GridView >

Edge and face DOFs require orientation-consistent permutation so that adjacent elements assign the same global index to shared sub-entity DOFs. The algorithm is adapted from dune-functions' LagrangeBasis orientation logic (see license remarks at the top of this file).

Template Parameters

GridView

The Dune grid view type.

Public Types
using	Scalar = typename GridView::ctype
using	GlobalPosition = Dune::FieldVector<Scalar, GridView::dimensionworld>

Static Public Member Functions
template<class DofMapper, class Element, class LocalKey, class IdSet>
static std::size_t	dofIndex (const DofMapper &m, const Element &e, const LocalKey &lk, const IdSet &idSet)
	Orientation-consistent global DOF index.
template<class Geometry, class LocalKey>
static GlobalPosition	dofPosition (const Geometry &geo, const LocalKey &lk)
	Physical position of a DOF in global coordinates.
template<class LocalKey>
static GridView::template Codim< 0 >::Entity::Geometry::LocalCoordinate	localDofPos (Dune::GeometryType gt, const LocalKey &lk)
	Reference-element position of a DOF for order-3 Lagrange basis.

Static Public Attributes
static constexpr int	dim = GridView::dimension

Member Typedef Documentation

GlobalPosition

template<class GridView>

using Dumux::PQ3LagrangeDofHelper< GridView >::GlobalPosition = Dune::FieldVector<Scalar, GridView::dimensionworld>

Scalar

template<class GridView>

using Dumux::PQ3LagrangeDofHelper< GridView >::Scalar = typename GridView::ctype

Member Function Documentation

dofIndex()

template<class GridView>

template<class DofMapper, class Element, class LocalKey, class IdSet>

std::size_t Dumux::PQ3LagrangeDofHelper< GridView >::dofIndex ( const DofMapper & m, const Element & e, const LocalKey & lk, const IdSet & idSet )

inlinestatic

For edge DOFs the within-entity index is flipped when the edge's global vertex ordering disagrees with the reference-element ordering. For 3D quad-face DOFs one of 8 rotation/reflection permutations is applied. A GlobalIdSet must be passed so that the orientation decision is consistent across MPI ranks.

dofPosition()

template<class GridView>

template<class Geometry, class LocalKey>

GlobalPosition Dumux::PQ3LagrangeDofHelper< GridView >::dofPosition ( const Geometry & geo, const LocalKey & lk )

inlinestatic

localDofPos()

template<class GridView>

template<class LocalKey>

GridView::template Codim< 0 >::Entity::Geometry::LocalCoordinate Dumux::PQ3LagrangeDofHelper< GridView >::localDofPos ( Dune::GeometryType gt, const LocalKey & lk )

inlinestatic

Member Data Documentation

dim

template<class GridView>

int Dumux::PQ3LagrangeDofHelper< GridView >::dim = GridView::dimension

staticconstexpr

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

• pq3/dofhelper.hh