Function space basis utilities

Utilities for implementing and using global bases. More...

Classes
struct	Dune::Functions::BasisFactory::IndexMergingStrategy
	Base class for index merging strategies to simplify detection. More...
struct	Dune::Functions::BasisFactory::FlatLexicographic
	Lexicographic merging of direct children without blocking. More...
struct	Dune::Functions::BasisFactory::FlatInterleaved
	Interleaved merging of direct children without blocking. More...
struct	Dune::Functions::BasisFactory::BlockedLexicographic
	Lexicographic merging of direct children with blocking (i.e. creating one block per direct child). More...
struct	Dune::Functions::BasisFactory::BlockedInterleaved
	Interleaved merging of direct children with blocking (i.e. creating blocks at the leaves containing one leaf per child each). More...
class	Dune::Functions::SubEntityDOFs< GridView >
	Range of DOFs associated to sub-entity. More...

Typedefs
template<class size_type >
using	Dune::Functions::FlatMultiIndex = StaticMultiIndex< size_type, 1 >
	A multi-index class with only one level. More...

Functions
template<class Vector >
auto	Dune::Functions::istlVectorBackend (Vector &v)
	Return a vector backend wrapping non-const ISTL like containers. More...
template<class Vector >
auto	Dune::Functions::istlVectorBackend (const Vector &v)
	Return a vector backend wrapping const ISTL like containers. More...
constexpr FlatLexicographic	Dune::Functions::BasisFactory::flatLexicographic ()
	Creates a lexicographic merging of direct children without blocking.
constexpr FlatInterleaved	Dune::Functions::BasisFactory::flatInterleaved ()
	Creates an interleaved merging of direct children without blocking.
constexpr BlockedLexicographic	Dune::Functions::BasisFactory::blockedLexicographic ()
	Creates a lexicographic merging of direct children with blocking (i.e. creating one block per direct child).
constexpr BlockedInterleaved	Dune::Functions::BasisFactory::blockedInterleaved ()
	Creates an interleaved merging of direct children with blocking (i.e. creating blocks at the leaves containing one leaf per child each).
template<class Basis , class F , decltype(std::declval< std::decay_t< F > >()(0, std::declval< typename Basis::LocalView >(), std::declval< typename Basis::GridView::Intersection >()), 0) = 0>
void	Dune::Functions::forEachBoundaryDOF (const Basis &basis, F &&f)
	Loop over all DOFs on the boundary. More...
template<class T >
auto	Dune::Functions::subEntityDOFs (const T &)
	Create SubEntityDOFs object. More...
template<class LocalView >
auto	Dune::Functions::subEntityDOFs (const LocalView &localView, std::size_t subEntityIndex, std::size_t subEntityCodim)
	Create bound SubEntityDOFs object. More...
template<class LocalView , class Intersection >
auto	Dune::Functions::subEntityDOFs (const LocalView &localView, const Intersection &intersection)
	Create bound SubEntityDOFs object. More...

Detailed Description

Utilities for implementing and using global bases.

Typedef Documentation

FlatMultiIndex

template<class size_type >

using Dune::Functions::FlatMultiIndex = typedef StaticMultiIndex<size_type, 1>

A multi-index class with only one level.

This class provides a multi-index interface in the sense that it has operator[] access to individual interfaces. However, since it only supports flat indices of exactly one level, it also has a cast of the multi-index to this index. This is obtianed by deriving from std::array<size_type,1> and adding this cast. Hence multi-indices of type FlatMultiIndex can be used like classic indices.

Function Documentation

forEachBoundaryDOF()

template<class Basis , class F , decltype(std::declval< std::decay_t< F > >()(0, std::declval< typename Basis::LocalView >(), std::declval< typename Basis::GridView::Intersection >()), 0) = 0>

void Dune::Functions::forEachBoundaryDOF	(	const Basis &	basis,
		F &&	f
	)

Loop over all DOFs on the boundary.

This loops over all DOFs of a basis associated to sub-entities on the boundary. This overload will pass three arguments to the given loop callback: The local index of the boundary DOF, a bound local view this local index belongs to, and a boundary intersection associated to a sub-entity such that the DOF is associated to a sub-sub-entity of this sub-entity. Notice that this may visit the same DOF multiple times.

If this callback signature is not suitable you can use one of the another variants of forEachBoundaryDOF.

Parameters

basis	A function space basis
f	A callback that will be called with a local index, a bound local view, and an intersection of the visited boundary DOF

This loops over all DOFs of a basis associated to sub-entities on the boundary. This overload will pass two arguments to the given loop callback: The local index of the boundary DOF and a bound local view this local index belongs to. Notice that this may visit the same DOF multiple times.

If this callback signature is not suitable you can use one of the another variants of forEachBoundaryDOF.

Parameters

basis	A function space basis
f	A callback that will be called with a local index and a bound local view of the visited boundary DOF

This loops over all DOFs of a basis associated to sub-entities on the boundary. This overload will pass a single arguments to the given loop callback: The global (multi-)index of the boundary DOF. Notice that this may visit the same DOF multiple times.

If this callback signature is not suitable you can use one of the another variants of forEachBoundaryDOF.

Parameters

basis	A function space basis
f	A callback that will be called with the global index of the visited boundary DOF

References Dune::Functions::subEntityDOFs().

istlVectorBackend() [1/2]

template<class Vector >

auto Dune::Functions::istlVectorBackend

(

const Vector &

v

)

Return a vector backend wrapping const ISTL like containers.

The returned object implements the VectorBackend concept and can be used for all dune-functions utilities requiring a coefficient vector (e.g. interpolate() and DiscreteGlobalBasisFunction. It essentially provides operator[] access using multi-indices and a recursive resize(GlobalBasis) method for adjusting the size to a given GlobalBasis.

Additionally to the VectorBackend interface, provides access to the wrapped vector using the method vector().

The wrapped vector type should be a nested ISTL like random access container providing operator[] and size() methods. For classical containers this should support indices of type std::size_t. For multi-type containers indices of the form Dune::index_constant<i> should be supported while size() should be a static constexpr method.

When accessing the vector with a multi-index the backend appends multi-index digits using operator[] as long as the result is not a scalar. If this exhausts all digits of the multi-index, additional zero`s are appended.

Template Parameters

V	Type of the raw wrapper vector

istlVectorBackend() [2/2]

template<class Vector >

auto Dune::Functions::istlVectorBackend

(

Vector &

v

)

Return a vector backend wrapping non-const ISTL like containers.

The returned object implements the VectorBackend concept and can be used for all dune-functions utilities requiring a coefficient vector (e.g. interpolate() and DiscreteGlobalBasisFunction). It essentially provides operator[] access using multi-indices and a recursive resize(GlobalBasis) method for adjusting the size to a given GlobalBasis.

Additionally to the VectorBackend interface, provides access to the wrapped vector using the method vector() and forwards all assignments to the underlying wrapped vector.

The wrapped vector type should be a nested ISTL like random access container providing operator[] and size() methods. For classical containers this should support indices of type std::size_t. For multi-type containers indices of the form Dune::index_constant<i> should be supported while size() should be a static constexpr method.

When accessing the vector with a multi-index the backend appends multi-index digits using operator[] as long as the result is not a scalar. If this exhausts all digits of the multi-index, additional zero`s are appended.

Template Parameters

V	Type of the raw wrapper vector

Referenced by Dune::Functions::DiscreteGlobalBasisFunction< B, V, NTRE, R >::makeDiscreteGlobalBasisFunction(), and Dune::Functions::DiscreteGlobalBasisFunctionDerivative< DGBF >::LocalFunction::operator()().

subEntityDOFs() [1/3]

template<class LocalView , class Intersection >

auto Dune::Functions::subEntityDOFs	(	const LocalView &	localView,
		const Intersection &	intersection
	)

Create bound SubEntityDOFs object.

This creates a SubEntityDOFs object and binds it to the given LocalView and intersection.

Notice that the SubEntityDOFs object will allocate some internal buffers. For efficiency reasons you should thus prefer to first create a SubEntityDOFs object and then bind it to each element you want to process instead of creating a new bound SubEntityDOFs object for each element.

Parameters

localView	A bound LocalView to bind to
intersection	An Intersection encoding the sub-entity to bind to

References Dune::Functions::subEntityDOFs().

Referenced by Dune::Functions::subEntityDOFs().

subEntityDOFs() [2/3]

template<class LocalView >

auto Dune::Functions::subEntityDOFs	(	const LocalView &	localView,
		std::size_t	subEntityIndex,
		std::size_t	subEntityCodim
	)

Create bound SubEntityDOFs object.

This creates a SubEntityDOFs object and binds it to the given LocalView and sub-entity.

Notice that the SubEntityDOFs object will allocate some internal buffers. For efficiency reasons you should thus prefer to first create a SubEntityDOFs object and then bind it to each element you want to process instead of creating a new bound SubEntityDOFs object for each element.

Parameters

localView	A bound LocalView to bind to
subEntityIndex	Index of sub-entity in localView.element()
subEntityCodim	Codimension of sub-entity in localView.element()

References Dune::Functions::subEntityDOFs().

subEntityDOFs() [3/3]

template<class T >

auto Dune::Functions::subEntityDOFs

(

const T &

)

Create SubEntityDOFs object.

The only requirement on the passed argument t is, that its type T has to provide a typedef T::GridView. Hence t it can be a GlobalBasis or a LocalView.

Parameters

t	A GlobalBasis or a LocalView

Referenced by Dune::Functions::forEachBoundaryDOF().