Dune::Functions::LFEPreBasisMixin< GV, LFE > Class Template Reference

A pre-basis mixin class parametrized with a local finite-element and a DOF layout. More...

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

Inheritance diagram for Dune::Functions::LFEPreBasisMixin< GV, LFE >:

Classes
class	Node
	Leaf basis node that encapsulates a local finite-element given from the LFEPreBasisMixin of type LFE. More...

Public Types
using	GridView = GV
	The grid view that the FE basis is defined on.
using	size_type = std::size_t
	Type used for index digits.

Public Member Functions
template<class LFE_ = LFE, std::enable_if_t< std::is_default_constructible_v< LFE_ >, int > = 0>
	LFEPreBasisMixin (const GridView &gv, MCMGLayout layout)
	Constructor for a given grid view object and layout.
template<class LFE_ >
	LFEPreBasisMixin (const GridView &gv, LFE_ &&lfe, MCMGLayout layout)
	Constructor for a given grid view object, local finite-element and layout.
Node	makeNode () const
	Create tree node.
void	initializeIndices ()
	Initialize the global index information.
const GridView &	gridView () const
	Export the stored GridView.
void	update (const GridView &gv)
	Update the stored GridView.
size_type	dimension () const
	Return total number of basis functions.
size_type	maxNodeSize () const
	Return maximal number of basis functions per element.
template<class Node , class It >
It	indices (const Node &node, It it) const
	Fill cache with global indices of DOFs associated to the given bound node.
size_type	size (const SizePrefix &prefix) const
	Return number of possible values for next position in multi index.
size_type	size () const
	Get the total dimension of the space spanned by this basis.
auto	containerDescriptor () const
	Return a flat container-descriptor.

Static Public Attributes
static constexpr size_type	maxMultiIndexSize
	Maximal length of global multi-indices.
static constexpr size_type	minMultiIndexSize
	Minimal length of global multi-indices.
static constexpr size_type	multiIndexBufferSize
	Size required temporarily when constructing global multi-indices.

Protected Attributes
GridView	gridView_
Dune::MultipleCodimMultipleGeomTypeMapper< GridView >	mapper_
std::size_t	maxNodeSize_

Detailed Description

template<class GV, class LFE>
class Dune::Functions::LFEPreBasisMixin< GV, LFE >

A pre-basis mixin class parametrized with a local finite-element and a DOF layout.

This mixin class allows for simple construction of leaf pre-bases that are based on a local finite-element and a DOF layout only. Examples are the refined Lagrange pre-bases, or a hierarchical Lagrange pre-basis. Note that the layout is currently not capable of describing a reordering of local DOFs if there are multiple assigned to a grid entity. Thus higher-order continuous finite-elements are currently not possible to describe by this mixin class. Note also that this mixin fixes the local finite-element type and thus cannot handle mixed GeometryTypes.

Example

template <class GV, class R = double>
class RefinedP0PreBasis :
   public LFEPreBasisMixin<GV, RefinedP0LocalFiniteElement<typename GV::ctype,R,GV::dimension>>
{
  using LFE = RefinedP0LocalFiniteElement<typename GV::ctype,R,GV::dimension>;
  using Base = LFEPreBasisMixin<GV, LFE>;
  static const int dim = GV::dimension;
public:
  RefinedP0PreBasis (const GV& gv) :
    Base(gv, [](GeometryType gt, int) { return (gt.dim()==dim) ? (1<<dim) : 0; })
  {}
};

Template Parameters

GV	The grid view that the FE basis is defined on
LFE	The local finite-element type

Member Typedef Documentation

GridView

template<class GV , class LFE >

using Dune::Functions::LFEPreBasisMixin< GV, LFE >::GridView = GV

The grid view that the FE basis is defined on.

size_type

template<typename GV >

using Dune::Functions::LeafPreBasisMapperMixin< GV >::size_type = std::size_t

inherited

Type used for index digits.

Constructor & Destructor Documentation

LFEPreBasisMixin() [1/2]

template<class GV , class LFE >

template<class LFE_ = LFE, std::enable_if_t< std::is_default_constructible_v< LFE_ >, int > = 0>

Dune::Functions::LFEPreBasisMixin< GV, LFE >::LFEPreBasisMixin ( const GridView &  gv, MCMGLayout  layout  )

inline

Constructor for a given grid view object and layout.

Requires that the local-finite element is default constructible.

LFEPreBasisMixin() [2/2]

template<class GV , class LFE >

template<class LFE_ >

Dune::Functions::LFEPreBasisMixin< GV, LFE >::LFEPreBasisMixin ( const GridView &  gv, LFE_ &&  lfe, MCMGLayout  layout  )

inline

Constructor for a given grid view object, local finite-element and layout.

Requires that the local-finite element is copyable or movable.

Member Function Documentation

containerDescriptor()

auto Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::containerDescriptor ( ) const

inlineinherited

Return a flat container-descriptor.

dimension()

template<typename GV >

size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::dimension ( ) const

inlineinherited

Return total number of basis functions.

gridView()

template<typename GV >

const GridView & Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView ( ) const

inlineinherited

Export the stored GridView.

indices()

template<typename GV >

template<class Node , class It >

It Dune::Functions::LeafPreBasisMapperMixin< GV >::indices ( const Node &  node, It  it  ) const

inlineinherited

Fill cache with global indices of DOFs associated to the given bound node.

initializeIndices()

template<typename GV >

void Dune::Functions::LeafPreBasisMapperMixin< GV >::initializeIndices ( )

inlineinherited

Initialize the global index information.

makeNode()

template<class GV , class LFE >

Node Dune::Functions::LFEPreBasisMixin< GV, LFE >::makeNode ( ) const

inline

Create tree node.

maxNodeSize()

template<typename GV >

size_type Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize ( ) const

inlineinherited

Return maximal number of basis functions per element.

size() [1/2]

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::size ( ) const

inlineinherited

Get the total dimension of the space spanned by this basis.

size() [2/2]

size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::size ( const SizePrefix &  prefix ) const

inlineinherited

Return number of possible values for next position in multi index.

update()

template<typename GV >

void Dune::Functions::LeafPreBasisMapperMixin< GV >::update ( const GridView &  gv )

inlineinherited

Update the stored GridView.

Member Data Documentation

gridView_

template<typename GV >

GridView Dune::Functions::LeafPreBasisMapperMixin< GV >::gridView_

protectedinherited

mapper_

template<typename GV >

Dune::MultipleCodimMultipleGeomTypeMapper<GridView> Dune::Functions::LeafPreBasisMapperMixin< GV >::mapper_

protectedinherited

maxMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::maxMultiIndexSize

staticconstexprinherited

Maximal length of global multi-indices.

maxNodeSize_

template<typename GV >

std::size_t Dune::Functions::LeafPreBasisMapperMixin< GV >::maxNodeSize_

protectedinherited

minMultiIndexSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::minMultiIndexSize

staticconstexprinherited

Minimal length of global multi-indices.

multiIndexBufferSize

constexpr size_type Dune::Functions::LeafPreBasisMixin< LeafPreBasisMapperMixin< GV > >::multiIndexBufferSize

staticconstexprinherited

Size required temporarily when constructing global multi-indices.

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

• lfeprebasismixin.hh