Global basis for given pre-basis. More...

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

Public Types
using	PreBasis = PB
	Pre-basis providing the implementation details. More...

using	PrefixPath = TypeTree::HybridTreePath<>
	The empty prefix path that identifies the root in the local ansatz tree. More...

using	GridView = typename PreBasis::GridView
	The grid view that the FE space is defined on. More...

using	MultiIndex = typename PreBasis::MultiIndex
	Type used for global numbering of the basis vectors. More...

using	size_type = std::size_t
	Type used for indices and size information. More...

using	LocalView = DefaultLocalView< DefaultGlobalBasis< PreBasis > >
	Type of the local view on the restriction of the basis to a single element. More...

using	SizePrefix = typename PreBasis::SizePrefix
	Type used for prefixes handed to the size() method. More...

Public Member Functions
template<class... T, disableCopyMove< DefaultGlobalBasis, T... > = 0, enableIfConstructible< PreBasis, T... > = 0>
	DefaultGlobalBasis (T &&... t)
	Constructor. More...

const GridView &	gridView () const
	Obtain the grid view that the basis is defined on. More...

const PreBasis &	preBasis () const
	Obtain the pre-basis providing the implementation details. More...

PreBasis &	preBasis ()
	Obtain the pre-basis providing the implementation details. More...

void	update (const GridView &gv)
	Update the stored grid view. More...

size_type	dimension () const
	Get the total dimension of the space spanned by this basis. More...

size_type	size () const
	Return number of possible values for next position in empty multi index. More...

size_type	size (const SizePrefix &prefix) const
	Return number of possible values for next position in multi index. More...

LocalView	localView () const
	Return local view for basis. More...

const DefaultGlobalBasis &	rootBasis () const
	Return *this because we are not embedded in a larger basis. More...

const PrefixPath &	prefixPath () const
	Return empty path, because this is the root in the local ansatz tree. More...

Protected Attributes
PreBasis	preBasis_

PrefixPath	prefixPath_

Detailed Description

template<class PB>
class Dune::Functions::DefaultGlobalBasis< PB >

Global basis for given pre-basis.

This class implements the interface of a global basis using the details from a given pre-basis. Hence it serves as an example for this interface.

If you want to implement your own global basis, it may be better to implement a pre-basis instead. On the one hand this needs less boiler-plate code. On the other hand it makes your implementation composable and thus much more flexible. That is, you can reuse your pre-basis as one part in a larger product space by plugging it e.g. into a CompositePreBasis of PowerPreBasis. The actual global basis for your FooPreBasis is then obtained by using DefaultGlobalBasis<FooPreBasis>.

Template Parameters

PB	Pre-basis providing the implementation details

Member Typedef Documentation

◆ GridView

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::GridView = typename PreBasis::GridView

The grid view that the FE space is defined on.

◆ LocalView

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::LocalView = DefaultLocalView<DefaultGlobalBasis<PreBasis> >

Type of the local view on the restriction of the basis to a single element.

◆ MultiIndex

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::MultiIndex = typename PreBasis::MultiIndex

Type used for global numbering of the basis vectors.

◆ PreBasis

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::PreBasis = PB

Pre-basis providing the implementation details.

◆ PrefixPath

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::PrefixPath = TypeTree::HybridTreePath<>

The empty prefix path that identifies the root in the local ansatz tree.

◆ size_type

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::size_type = std::size_t

Type used for indices and size information.

◆ SizePrefix

template<class PB >

using Dune::Functions::DefaultGlobalBasis< PB >::SizePrefix = typename PreBasis::SizePrefix

Type used for prefixes handed to the size() method.

Constructor & Destructor Documentation

◆ DefaultGlobalBasis()

template<class PB >

template<class... T, disableCopyMove< DefaultGlobalBasis, T... > = 0, enableIfConstructible< PreBasis, T... > = 0>

Dune::Functions::DefaultGlobalBasis< PB >::DefaultGlobalBasis ( T &&... t )

inline

Constructor.

Template Parameters

T	Argument list for PreBasis

Parameters

t	Argument list for PreBasis

This will forward all arguments to the constructor of PreBasis

Member Function Documentation

◆ dimension()

template<class PB >

size_type Dune::Functions::DefaultGlobalBasis< PB >::dimension ( ) const

inline

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

◆ gridView()

template<class PB >

const GridView& Dune::Functions::DefaultGlobalBasis< PB >::gridView ( ) const

inline

Obtain the grid view that the basis is defined on.

◆ localView()

template<class PB >

LocalView Dune::Functions::DefaultGlobalBasis< PB >::localView ( ) const

inline

Return local view for basis.

◆ preBasis() [1/2]

template<class PB >

PreBasis& Dune::Functions::DefaultGlobalBasis< PB >::preBasis ( )

inline

Obtain the pre-basis providing the implementation details.

◆ preBasis() [2/2]

template<class PB >

const PreBasis& Dune::Functions::DefaultGlobalBasis< PB >::preBasis ( ) const

inline

Obtain the pre-basis providing the implementation details.

◆ prefixPath()

template<class PB >

const PrefixPath& Dune::Functions::DefaultGlobalBasis< PB >::prefixPath ( ) const

inline

Return empty path, because this is the root in the local ansatz tree.

◆ rootBasis()

template<class PB >

const DefaultGlobalBasis& Dune::Functions::DefaultGlobalBasis< PB >::rootBasis ( ) const

inline

Return *this because we are not embedded in a larger basis.

◆ size() [1/2]

template<class PB >

size_type Dune::Functions::DefaultGlobalBasis< PB >::size ( ) const

inline

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

◆ size() [2/2]

template<class PB >

size_type Dune::Functions::DefaultGlobalBasis< PB >::size ( const SizePrefix & prefix ) const

inline

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

◆ update()

template<class PB >

void Dune::Functions::DefaultGlobalBasis< PB >::update ( const GridView & gv )

inline

Update the stored grid view.

This will update the indexing information of the global basis. It must be called if the grid has changed.

Member Data Documentation

◆ preBasis_

template<class PB >

PreBasis Dune::Functions::DefaultGlobalBasis< PB >::preBasis_

protected

◆ prefixPath_

template<class PB >

PrefixPath Dune::Functions::DefaultGlobalBasis< PB >::prefixPath_

protected

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

defaultglobalbasis.hh

Public Types

Public Member Functions

Protected Attributes

Detailed Description

template<class PB> class Dune::Functions::DefaultGlobalBasis< PB >

Member Typedef Documentation

◆ GridView

◆ LocalView

◆ MultiIndex

◆ PreBasis

◆ PrefixPath

◆ size_type

◆ SizePrefix

Constructor & Destructor Documentation

◆ DefaultGlobalBasis()

Member Function Documentation

◆ dimension()

◆ gridView()

◆ localView()

◆ preBasis() [1/2]

◆ preBasis() [2/2]

◆ prefixPath()

◆ rootBasis()

◆ size() [1/2]

◆ size() [2/2]

◆ update()

Member Data Documentation

◆ preBasis_

◆ prefixPath_

template<class PB>
class Dune::Functions::DefaultGlobalBasis< PB >