Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage > Class Template Reference

A family of local product basis function sets. More...

#include <dune/fem/space/basisfunctionset/hpdg/legendre.hh>

Public Types
using	GridPartType = typename BaseType::GridPartType
using	EntityType = typename BaseType::EntityType
	entity type More...
using	BasisFunctionSetType = typename BaseType::BasisFunctionSetType
	basis function set More...
using	KeyType = typename BaseType::KeyType
using	DataType = typename BaseType::DataType
using	Types = typename Traits::Types
	a range of geometry types

Public Member Functions
	LegendreBasisFunctionSets ()=default
	constructor
	LegendreBasisFunctionSets (const ThisType &)=default
	copy constructor
	LegendreBasisFunctionSets (ThisType &&)=default
	move constructor
BaseType::Types	types () const
std::size_t	maxBlocks () const
std::size_t	maxBlocks (GeometryType type) const
std::size_t	blocks (GeometryType type, KeyType key) const
int	order (GeometryType type, KeyType key) const
	return maximum order More...
BasisFunctionSetType	basisFunctionSet (const EntityType &entity, KeyType key) const
	return basis function set for given entity More...
Block usage
std::size_t	blocks (GeometryType type, const KeyType &key) const
	return number of blocks used
Communication
DataType	encode (const KeyType &key) const
	map key to data type
KeyType	decode (const DataType &data) const
	map data to key type
Basis function sets
int	order () const
	return maximum polynomial order
int	order (GeometryType type) const
	return maximum polynomial order per geometry type
int	order (GeometryType type, const KeyType &key) const
	return polynomial order
BasisFunctionSetType	basisFunctionSet (const EntityType &entity, const KeyType &key) const
	return basis function set

Static Public Member Functions
static DataType	encode (const KeyType &key) noexcept
static KeyType	decode (const DataType &data) noexcept
static constexpr bool	orthogonal () noexcept
static constexpr int	order () noexcept
	return maximum order More...
static constexpr int	order (GeometryType type) noexcept
	return maximum order More...

Static Public Attributes
static const int	localBlockSize
	block size

Detailed Description

template<class FunctionSpace, class GridPart, int maxOrder, bool hierarchicalOrdering, class Storage>
class Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >

A family of local product basis function sets.

Note

This BasisFunctionSets object can be used only with cubic grids.

Template Parameters

FunctionSpace	a Dune::Fem::FunctionSpace
GridPart	a Dune::Fem::GridPart
maxOrder	maximum order
Storage	for certain caching features

Member Typedef Documentation

BasisFunctionSetType

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

using Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::BasisFunctionSetType = typename BaseType::BasisFunctionSetType

basis function set

DataType

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

using Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::DataType = typename BaseType::DataType

EntityType

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

using Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::EntityType = typename BaseType::EntityType

entity type

GridPartType

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

using Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::GridPartType = typename BaseType::GridPartType

KeyType

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

using Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::KeyType = typename BaseType::KeyType

Member Function Documentation

basisFunctionSet()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

BasisFunctionSetType Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::basisFunctionSet ( const EntityType &  entity, KeyType  key  ) const

inline

return basis function set for given entity

blocks()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

std::size_t Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::blocks ( GeometryType  type, KeyType  key  ) const

inline

decode()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

static KeyType Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::decode ( const DataType &  data )

inlinestaticnoexcept

encode()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

static DataType Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::encode ( const KeyType &  key )

inlinestaticnoexcept

maxBlocks() [1/2]

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

std::size_t Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::maxBlocks ( ) const

inline

Referenced by Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::maxBlocks().

maxBlocks() [2/2]

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

std::size_t Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::maxBlocks ( GeometryType  type ) const

inline

References Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::maxBlocks().

order() [1/3]

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

static constexpr int Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::order ( )

inlinestaticconstexprnoexcept

return maximum order

order() [2/3]

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

static constexpr int Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::order ( GeometryType  type )

inlinestaticconstexprnoexcept

return maximum order

References Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::order().

Referenced by Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::order().

order() [3/3]

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

int Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::order ( GeometryType  type, KeyType  key  ) const

inline

return maximum order

orthogonal()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

static constexpr bool Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::orthogonal ( )

inlinestaticconstexprnoexcept

types()

template<class FunctionSpace , class GridPart , int maxOrder, bool hierarchicalOrdering, class Storage >

BaseType::Types Dune::Fem::hpDG::LegendreBasisFunctionSets< FunctionSpace, GridPart, maxOrder, hierarchicalOrdering, Storage >::types ( ) const

inline

References Dune::GeometryTypes::cube().

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

• dune/fem/space/basisfunctionset/hpdg/legendre.hh