The gradient of the asymptotic expansion solution $u^{\varepsilon,N}_\mathrm{int}(x)$ , evaluated on a FE mesh with elements in the sheet. More...

#include <DiffReactAsympModel.hh>

Inheritance diagram for concepts::DiffReactAsympModeluepsN_grad< F >:

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Collaboration diagram for concepts::DiffReactAsympModeluepsN_grad< F >:

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List of all members.

Public Types
typedef Point< F, 2 >	value_type
Public Member Functions
virtual DiffReactAsympModeluepsN_grad < F > *	clone () const
	Virtual copy constructor.
	DiffReactAsympModeluepsN_grad (DiffReactAsympModelSolBase< F > &sol, CellToCellMapping< 2, 2 > &map, Space< Real > &spc, Space< Real > &tspc, const Real eps, uint order)
Real	eps () const
virtual Point< F, 2 >	operator() (const ElementWithCell< Real > &elm, const Real2d &p, const Real t=0.0) const
virtual Point< F, 2 >	operator() (const ElementWithCell< typename Realtype< Point< F, 2 > >::type > &elm, const Real p, const Real t=0.0) const =0
	Evaluates the formula.
virtual Point< F, 2 >	operator() (const ElementWithCell< typename Realtype< Point< F, 2 > >::type > &elm, const Real3d &p, const Real t=0.0) const =0
virtual Point< F, 2 >	operator() (const ElementWithCell< Real > &elm, const Real p, const Real t=0.0) const
	Not implemented.
virtual Point< F, 2 >	operator() (const ElementWithCell< Real > &elm, const Real3d &p, const Real t=0.0) const
	Not implemented.
virtual Point< F, 2 >	operator() (const ElementWithCell< typename Realtype< Point< F, 2 > >::type > &elm, const Real2d &p, const Real t=0.0) const =0
uint	order () const
virtual	~DiffReactAsympModeluepsN_grad ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
const Real	eps_
	Thickness.
CellToCellMapping< 2, 2 > &	map_
	Mapping from a point in a connector in FE mesh to one in limit mesh.
std::map< const Connector , const ElementWithCell< Real > >	mapToElm_
const uint	order_
	Order of the model.
DiffReactAsympModelSolBase< F > &	sol_
	Solution of the asymptotic expansion model.
Space< Real > &	spc_
	Space for asymptotic model and belonging trace space.
Space< Real > &	tspc_

Detailed Description

template<typename F = Real>
class concepts::DiffReactAsympModeluepsN_grad< F >

The gradient of the asymptotic expansion solution $u^{\varepsilon,N}_\mathrm{int}(x)$ , evaluated on a FE mesh with elements in the sheet.

A mapping from points in topological cells in the FE mesh to the correlating points in topological cells in the limit mesh have to be given.

Author:: Kersten Schmidt, 2008

Definition at line 855 of file DiffReactAsympModel.hh.

Member Typedef Documentation

typedef Point< F, 2 > concepts::ElementFormula< Point< F, 2 > , typename Realtype<Point< F, 2 > >::type >::value_type [inherited]

Definition at line 31 of file elementFormula.hh.

Constructor & Destructor Documentation

template<typename F = Real>

concepts::DiffReactAsympModeluepsN_grad< F >::DiffReactAsympModeluepsN_grad	(	DiffReactAsympModelSolBase< F > &	sol,
		CellToCellMapping< 2, 2 > &	map,
		Space< Real > &	spc,
		Space< Real > &	tspc,
		const Real	eps,
		uint	order
	)

template<typename F = Real>

virtual concepts::DiffReactAsympModeluepsN_grad< F >::~DiffReactAsympModeluepsN_grad ( ) [inline, virtual]

Definition at line 862 of file DiffReactAsympModel.hh.

Member Function Documentation

template<typename F = Real>

virtual DiffReactAsympModeluepsN_grad<F>* concepts::DiffReactAsympModeluepsN_grad< F >::clone ( ) const [inline, virtual]

Virtual copy constructor.

Implements concepts::ElementFormula< Point< F, 2 > >.

Definition at line 873 of file DiffReactAsympModel.hh.

template<typename F = Real>

Real concepts::DiffReactAsympModeluepsN_grad< F >::eps ( ) const [inline]

Definition at line 878 of file DiffReactAsympModel.hh.

template<typename F = Real>

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

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

virtual Point< F, 2 > concepts::ElementFormula< Point< F, 2 > , typename Realtype<Point< F, 2 > >::type >::operator()	(	const ElementWithCell< typename Realtype<Point< F, 2 > >::type > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`

Evaluates the formula.

Parameters:

elm	Element
p	Point in space in local element coordinates
t	Point in time

template<typename F = Real>

virtual Point<F,2> concepts::DiffReactAsympModeluepsN_grad< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const `[virtual]`

Not implemented.

virtual Point< F, 2 > concepts::ElementFormula< Point< F, 2 > , typename Realtype<Point< F, 2 > >::type >::operator()	(	const ElementWithCell< typename Realtype<Point< F, 2 > >::type > &	elm,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`

template<typename F = Real>

virtual Point<F,2> concepts::DiffReactAsympModeluepsN_grad< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real	p,
		const Real	t = `0.0`
	)		const `[virtual]`

Not implemented.

template<typename F = Real>

virtual Point<F,2> concepts::DiffReactAsympModeluepsN_grad< F >::operator()	(	const ElementWithCell< Real > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const `[virtual]`

virtual Point< F, 2 > concepts::ElementFormula< Point< F, 2 > , typename Realtype<Point< F, 2 > >::type >::operator()	(	const ElementWithCell< typename Realtype<Point< F, 2 > >::type > &	elm,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const `[pure virtual, inherited]`