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

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

#include <dune/fem/space/basisfunctionset/hpdg/anisotropic.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
BaseType::Types	types () const noexcept
Block usage
std::size_t	maxBlocks () const
	return maximum number of blocks used
std::size_t	maxBlocks (GeometryType type) const
	return maximum number of blocks used per geometry type
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 constexpr std::size_t	maxBlocks () noexcept
static std::size_t	maxBlocks (Dune::GeometryType type) noexcept
static std::size_t	blocks (GeometryType type, KeyType key) noexcept
static DataType	encode (const KeyType &key) noexcept
static KeyType	decode (DataType data) noexcept
static constexpr bool	orthogonal () noexcept
static constexpr int	order () noexcept
	return maximum order More...
static constexpr int	order (Dune::GeometryType type) noexcept
	return maximum order More...
static int	order (Dune::GeometryType type, KeyType key) noexcept
	return maximum order More...
static BasisFunctionSetType	basisFunctionSet (const EntityType &entity, const KeyType &key) noexcept
	return basis function set for given entity More...

Static Public Attributes
static const int	localBlockSize
	block size

Detailed Description

template<class FunctionSpace, class GridPart, int maxOrder, class Storage>
class Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >

A family of anisotropic 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	enable/disable Storage of quadratures

Member Typedef Documentation

BasisFunctionSetType

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

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

basis function set

DataType

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

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

EntityType

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

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

entity type

GridPartType

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

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

KeyType

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

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

Member Function Documentation

basisFunctionSet()

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

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

inlinestaticnoexcept

return basis function set for given entity

References Dune::GeometryTypes::cube().

blocks()

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

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

inlinestaticnoexcept

References Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::blocks(), Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::order(), and Dune::size().

Referenced by Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::blocks().

decode()

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

static KeyType Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::decode ( DataType  data )

inlinestaticnoexcept

References Dune::Fem::FunctionSpaceInterface< VectorSpaceTraits< DomainField, RangeField, dimD, dimR > >::dimDomain.

Referenced by Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::encode().

encode()

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

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

inlinestaticnoexcept

References Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::decode(), and Dune::Fem::FunctionSpaceInterface< VectorSpaceTraits< DomainField, RangeField, dimD, dimR > >::dimDomain.

maxBlocks() [1/2]

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

static constexpr std::size_t Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::maxBlocks ( )

inlinestaticconstexprnoexcept

References Dune::Fem::FunctionSpaceInterface< VectorSpaceTraits< DomainField, RangeField, dimD, dimR > >::dimDomain, and Dune::power().

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

maxBlocks() [2/2]

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

static std::size_t Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::maxBlocks ( Dune::GeometryType  type )

inlinestaticnoexcept

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

order() [1/3]

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

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

inlinestaticconstexprnoexcept

return maximum order

Referenced by Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::blocks(), and Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::order().

order() [2/3]

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

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

inlinestaticconstexprnoexcept

return maximum order

References Dune::GeometryType::cube, and Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::order().

order() [3/3]

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

static int Dune::Fem::hpDG::AnisotropicBasisFunctionSets< FunctionSpace, GridPart, maxOrder, Storage >::order ( Dune::GeometryType  type, KeyType  key  )

inlinestaticnoexcept

return maximum order

References Dune::GeometryType::cube.

orthogonal()

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

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

inlinestaticconstexprnoexcept

types()

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

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

inlinenoexcept

References Dune::GeometryTypes::cube().

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

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