Dumux::PQ3LagrangeDofHelper< GridView > Class Template Reference

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

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

Inheritance diagram for Dumux::PQ3LagrangeDofHelper< GridView >:

Description

template<class GridView>
class 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.

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 ElemDisc>
static auto	localDofs (const ElemDisc &elemDisc)
	Iterator range over all local dofs on an element.
template<class ElemDisc, class BoundaryFace>
static auto	localDofsOnBoundaryFace (const ElemDisc &elemDisc, const BoundaryFace &boundaryFace)
	Iterator range over all local dofs on a given boundary face. Uses a filter over all local dofs via localDofOnIntersection.
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	localDofPosition (Dune::GeometryType gt, const LocalKey &lk)
	Reference-element position of a DOF for order-3 Lagrange basis.
template<class LocalKey>
static auto	localDofOnIntersection (Dune::GeometryType type, unsigned int iIdx, const LocalKey &localKey)
	Returns true if the local dof with a given local key is on the intersection with index iIdx.
template<class ElemDisc, class BoundaryFace>
static auto	localDofsOnBoundaryFace (const ElemDisc &elemDisc, const BoundaryFace &boundaryFace)
	Iterator range over all local dofs on a given boundary face. Uses a filter over all local dofs via localDofOnIntersection.
template<class DofMapper, class LocalKey>
static auto	dofIndex (const DofMapper &dofMapper, const Element &element, const LocalKey &localKey)
	global index of dof

Member Function Documentation

dofIndex() [1/2]

template<class GridView>

template<class DofMapper, class LocalKey>

auto Dumux::Experimental::FEDofHelper< GridView >::dofIndex ( const DofMapper & dofMapper, const Element & element, const LocalKey & localKey )

inlinestaticinherited

dofIndex() [2/2]

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

localDofOnIntersection()

template<class GridView>

template<class LocalKey>

auto Dumux::Experimental::FEDofHelper< GridView >::localDofOnIntersection ( Dune::GeometryType type, unsigned int iIdx, const LocalKey & localKey )

inlinestaticinherited

localDofPosition()

template<class GridView>

template<class LocalKey>

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

inlinestatic

localDofs()

template<class GridView>

template<class ElemDisc>

auto Dumux::PQ3LagrangeDofHelper< GridView >::localDofs ( const ElemDisc & elemDisc )

inlinestatic

Parameters

elemDisc

the element discretization (must be bound)

localDofsOnBoundaryFace() [1/2]

template<class GridView>

template<class ElemDisc, class BoundaryFace>

auto Dumux::Experimental::FEDofHelper< GridView >::localDofsOnBoundaryFace ( const ElemDisc & elemDisc, const BoundaryFace & boundaryFace )

inlinestaticinherited

Parameters

elemDisc	the element discretization (must be bound)
boundaryFace	the boundary face

localDofsOnBoundaryFace() [2/2]

template<class GridView>

template<class ElemDisc, class BoundaryFace>

auto Dumux::PQ3LagrangeDofHelper< GridView >::localDofsOnBoundaryFace ( const ElemDisc & elemDisc, const BoundaryFace & boundaryFace )

inlinestatic

Parameters

elemDisc	the element discretization (must be bound)
boundaryFace	the boundary face

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

• pq3/dofhelper.hh