Continuous extension of a formula on edges, e.g. More...

#include <formula.hh>

Inheritance diagram for hp2D::H1Extension< F >:

Collaboration diagram for hp2D::H1Extension< F >:

Public Types
typedef F	value_type
Public Member Functions
virtual H1Extension< F > *	clone () const
	Virtual copy constructor.
	H1Extension (const concepts::ElementFormula< F > &frm, const concepts::Set< concepts::Attribute > attributes)
	Constructor.
	H1Extension (const concepts::ElementFormula< F > &frm)
	Constructor for extension from formula on edges.
virtual F	operator() (const ElementWithCell< typename Realtype< F >::type > &elm, const Real p, const Real t=0.0) const =0
	Evaluates the formula.
virtual F	operator() (const concepts::ElementWithCell< Real > &elm, const concepts::Real3d &p, const Real t=0.0) const
virtual F	operator() (const ElementWithCell< typename Realtype< F >::type > &elm, const Real3d &p, const Real t=0.0) const =0
virtual F	operator() (const concepts::ElementWithCell< Real > &elm, const Real2d &p, const Real t=0.0) const
virtual F	operator() (const concepts::ElementWithCell< Real > &elm, const Real p, const Real t=0.0) const
virtual F	operator() (const ElementWithCell< typename Realtype< F >::type > &elm, const Real2d &p, const Real t=0.0) const =0
virtual	~H1Extension ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Member Functions
void	clear_ () const
	Clear the temporary information (elmEdges_, cellEdges_).
bool	compute_ (const hp2D::Quad< Real > *quad, const Real2d &p, const Real t, F &val) const
Private Attributes
const concepts::Set < concepts::Attribute >	attributes_
	Attributes of the cells taken into account.
concepts::Sequence < concepts::Edge2d * >	cellEdges_
	List of the generated cells on the edges.
concepts::HashMap< const concepts::Edge * >	edges_
	The last used edges.
const concepts::ElementWithCell < Real > *	elm_
	The last used element.
concepts::Array < concepts::ElementWithCell < Real > * >	elmEdges_
	The last used elements on the edges of `elm_`.
std::auto_ptr< const concepts::ElementFormula< F > >	frm_
	The formula on the edges.
concepts::HashMap< F >	vtxValues_
	Values on the vertices.

Detailed Description

template<class F>
class hp2D::H1Extension< F >

Continuous extension of a formula on edges, e.g.

boundary or interface edges, to the interior.

The user has to ensure, that the data on the edges is given continuously. The name H1Extension is not fully appropiate, since the data on the edges could be continuous given, but need not be in

$H^{1/2}(\Gamma)$

.

Author:: Kersten Schmidt, 2007

Definition at line 64 of file formula.hh.

Member Typedef Documentation

typedef F concepts::ElementFormula< F, typename Realtype<F>::type >::value_type [inherited]

Definition at line 31 of file elementFormula.hh.

Constructor & Destructor Documentation

template<class F>

hp2D::H1Extension< F >::H1Extension ( const concepts::ElementFormula< F > & frm )

Constructor for extension from formula on edges.

Example of such an (element) formula is a the Dirichlet data.

Extension is continuous, if the mesh has no hanging nodes in the first layer around the edges of the given formula.

Parameters:

frm	element formula on edges (hp2D::Edge)

See also:: hp2D::TraceSpace; concepts::DirichletElementFormula; concepts::ElementFormulaVector

template<class F>

hp2D::H1Extension< F >::H1Extension	(	const concepts::ElementFormula< F > &	frm,
		const concepts::Set< concepts::Attribute >	attributes
	)

Constructor.

Parameters:

frm	element formula on edges (hp2D::Edge)
attributes	attributes of the cells taken into account

template<class F>

virtual hp2D::H1Extension< F >::~H1Extension ( ) [virtual]

Member Function Documentation

template<class F>

void hp2D::H1Extension< F >::clear_ ( ) const [private]

Clear the temporary information (elmEdges_, cellEdges_).

template<class F>

virtual H1Extension<F>* hp2D::H1Extension< F >::clone ( ) const [inline, virtual]

Virtual copy constructor.

Implements concepts::ElementFormula< F >.

Definition at line 98 of file formula.hh.

template<class F>

bool hp2D::H1Extension< F >::compute_	(	const hp2D::Quad< Real > *	quad,
		const Real2d &	p,
		const Real	t,
		F &	val
	)		const `[private]`

template<class F>

virtual std::ostream& hp2D::H1Extension< F >::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

virtual F concepts::ElementFormula< F, typename Realtype<F>::type >::operator()	(	const ElementWithCell< typename Realtype<F>::type > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`

template<class F>

virtual F hp2D::H1Extension< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const concepts::Real3d &	p,
		const Real	t = `0.0`
	)		const `[virtual]`

template<class F>

virtual F hp2D::H1Extension< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const `[virtual]`

template<class F>

virtual F hp2D::H1Extension< F >::operator()	(	const concepts::ElementWithCell< Real > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const `[virtual]`

virtual F concepts::ElementFormula< F, typename Realtype<F>::type >::operator()	(	const ElementWithCell< typename Realtype<F>::type > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`

virtual F concepts::ElementFormula< F, typename Realtype<F>::type >::operator()	(	const ElementWithCell< typename Realtype<F>::type > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`