Ikarus::FEHelper Namespace Reference

Functions
template<typename Traits , typename Vector , typename ST >
auto	localSolutionBlockVector (const Vector &x, const typename Traits::LocalView &localView, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt)
	Gets the local solution Dune block vector for a power basis. More...
template<typename Traits , typename Vector , typename ST >
auto	localSolutionBlockVectorScalar (const Vector &x, const typename Traits::LocalView &localView, auto &&treePath, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt)
	Gets the local solution Dune block vector for a scalar (or leaf) node of a power basis. More...
template<typename Traits , typename Vector , typename ST >
auto	localSolutionBlockVectorComposite (const Vector &x, const typename Traits::LocalView &localView, auto &&treePath, const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &dx=std::nullopt)
	Gets the local solution Dune block vector for a particular power node child of a composite basis. More...
template<typename LocalView >
void	globalIndicesFromLocalView (const LocalView &localView, std::vector< typename LocalView::MultiIndex > &globalIndices)
	Get the global indices for the provided local view of an element. More...
template<typename FiniteElement >
void	globalIndices (const FiniteElement &fe, std::vector< typename FiniteElement::LocalView::MultiIndex > &globalIndices)
	Get the global indices for the provided finite element. More...

Function Documentation

globalIndices()

template<typename FiniteElement >

void Ikarus::FEHelper::globalIndices	(	const FiniteElement &	fe,
		std::vector< typename FiniteElement::LocalView::MultiIndex > &	globalIndices
	)

The global indices are collected in a FlatInterLeaved order or in BlockedInterleaved order. This function can handle a scalar basis, power basis, and a composite basis.

Template Parameters

FiniteElement

Type of the finite element.

Parameters

fe	The finite element.
globalIndices	Output vector to store global indices.

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globalIndicesFromLocalView()

template<typename LocalView >

void Ikarus::FEHelper::globalIndicesFromLocalView	(	const LocalView &	localView,
		std::vector< typename LocalView::MultiIndex > &	globalIndices
	)

Template Parameters

LocalView

Type of the local view

Parameters

localView	Local view of the element.
globalIndices	Output vector to store global indices.

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localSolutionBlockVector()

template<typename Traits , typename Vector , typename ST >

auto Ikarus::FEHelper::localSolutionBlockVector	(	const Vector &	x,
		const typename Traits::LocalView &	localView,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = std::nullopt
	)

Template Parameters

Traits	Type of the FE traits.
ST	Scalar type for the local solution vector.
Vector	Global solution vector

Parameters

x	The global solution vector.
localView	Local view of the element.
dx	Optional global solution vector.

Returns

A Dune block vector representing the solution quantities at each node.

localSolutionBlockVectorComposite()

template<typename Traits , typename Vector , typename ST >

auto Ikarus::FEHelper::localSolutionBlockVectorComposite	(	const Vector &	x,
		const typename Traits::LocalView &	localView,
		auto &&	treePath,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = std::nullopt
	)

Template Parameters

Traits	Type of the FE traits.
ST	Scalar type for the local solution vector.
Vector	Global solution vector

Parameters

x	The global solution vector.
localView	Local view of the element.
dx	Optional global solution vector.

Returns

A Dune block vector representing the solution quantities at each node.

localSolutionBlockVectorScalar()

template<typename Traits , typename Vector , typename ST >

auto Ikarus::FEHelper::localSolutionBlockVectorScalar	(	const Vector &	x,
		const typename Traits::LocalView &	localView,
		auto &&	treePath,
		const std::optional< std::reference_wrapper< const Eigen::VectorX< ST > > > &	dx = std::nullopt
	)

Template Parameters

Traits	Type of the FE traits.
ST	Scalar type for the local solution vector.
Vector	Global solution vector

Parameters

x	The global solution vector.
localView	Local view of the element.
dx	Optional global solution vector.

Returns

A Dune block vector representing the solution quantities at each node.