The Neumann trace of the approximated function in a FE space. More...

#include <function.hh>

Inheritance diagram for hp2D::NeumannTrace< F, G >:

Public Types
typedef concepts::Element< typename Q::type >	Element

Public Member Functions
virtual NeumannTrace< F, G > *	clone () const

virtual ElementFunction< Real, Q::type > *	clone () const=0

virtual uint	n () const
	Number of components. More...

	NeumannTrace ()
	Constructor. More...

virtual void	operator() (const Element &elm, const concepts::Array< Real > &coeff, concepts::Array< Real > &val, const concepts::Real3d &p, const Real t=0.0) const

virtual void	operator() (const Element &elm, const concepts::Array< Real > &coeff, concepts::Array< Real > &val, const Real p, const Real t=0.0) const

virtual void	operator() (const Element &elm, const concepts::Array< Real > &coeff, concepts::Array< Real > &val, const Real2d &p, const Real t=0.0) const

virtual void	operator() (const Element &elm, const concepts::Array< Real > &coeff, concepts::Array< Real > &val, const uint *i) const

virtual void	operator() (const Element &elm, const uint j, concepts::Array< Real > &val, const uint i) const

virtual void	operator() (const Element< Q::type > &elm, const Array< Real > &coeff, Array< Real > &val, const Real p, const Real t=0.0) const=0
	Evaluates the function value in an arbitrary point `p` of physical space. More...

virtual void	operator() (const Element< Q::type > &elm, const Array< Real > &coeff, Array< Real > &val, const Real2d &p, const Real t=0.0) const=0

virtual void	operator() (const Element< Q::type > &elm, const Array< Real > &coeff, Array< Real > &val, const Real3d &p, const Real t=0.0) const=0

virtual void	operator() (const Element< Q::type > &elm, const Array< Real > &coeff, Array< Real > &val, const uint *i) const=0
	Evaluates the function on precalculated quadrature points. More...

virtual void	operator() (const Element< Q::type > &elm, const uint j, Array< Real > &val, const uint i) const=0
	Evaluates the given function on a specific shape function `j` (on precalculated quadrature points). More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Private Member Functions
virtual void	compute_ (const Quad< G > &elm, const concepts::Array< F > &coeff, F &val, const Real2d &p, const Real t=0.0) const

virtual void	compute_ (const Quad< G > &elm, const concepts::Array< F > &coeff, F &val, const uint i[2]) const

virtual void	compute_ (const Quad< G > &elm, const uint j[2], F &val, const uint i[2]) const

Detailed Description

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>
class hp2D::NeumannTrace< F, G >

The Neumann trace of the approximated function in a FE space.

It is evaluated on one quadrilateral element, and takes the value from one side (the side of the given quad). The Neumann trace is w.r.t. to the right (!) normal vector of the edge.

Author: Kersten Schmidt, 2007

Definition at line 355 of file function.hh.

Member Typedef Documentation

◆ Element

typedef concepts::Element<typename Q::type> hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::Element

inherited

Definition at line 40 of file functionBase.hh.

Constructor & Destructor Documentation

◆ NeumannTrace()

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

hp2D::NeumannTrace< F, G >::NeumannTrace ( )

inline

Constructor.

Definition at line 359 of file function.hh.

Member Function Documentation

◆ clone() [1/2]

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

virtual NeumannTrace<F,G>* hp2D::NeumannTrace< F, G >::clone ( ) const

inlinevirtual

Definition at line 361 of file function.hh.

◆ clone() [2/2]

virtual ElementFunction<Real ,Q::type >* concepts::ElementFunction< Real , Q::type >::clone ( ) const

pure virtualinherited

◆ compute_() [1/3]

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

virtual void hp2D::NeumannTrace< F, G >::compute_	(	const Quad< G > &	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

privatevirtual

◆ compute_() [2/3]

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

virtual void hp2D::NeumannTrace< F, G >::compute_	(	const Quad< G > &	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const uint	i[2]
	)		const

privatevirtual

◆ compute_() [3/3]

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

virtual void hp2D::NeumannTrace< F, G >::compute_	(	const Quad< G > &	elm,
		const uint	j[2],
		F &	val,
		const uint	i[2]
	)		const

privatevirtual

◆ info()

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>

virtual std::ostream& hp2D::NeumannTrace< F, G >::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::ElementFunction< Real, Q::type >.

◆ n()

virtual uint hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::n

inlinevirtualinherited

Number of components.

Implements concepts::ElementFunction< Real, Q::type >.

Definition at line 43 of file functionBase.hh.

◆ operator()() [1/10]

void hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::operator()	(	const Element &	elm,
		const concepts::Array< Real > &	coeff,
		concepts::Array< Real > &	val,
		const concepts::Real3d &	p,
		const Real	t = `0.0`
	)		const

virtualinherited

Definition at line 59 of file functionBase.hh.

◆ operator()() [2/10]

void hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::operator()	(	const Element &	elm,
		const concepts::Array< Real > &	coeff,
		concepts::Array< Real > &	val,
		const Real	p,
		const Real	t = `0.0`
	)		const

virtualinherited

Definition at line 51 of file functionBase.hh.

◆ operator()() [3/10]

void hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::operator()	(	const Element &	elm,
		const concepts::Array< Real > &	coeff,
		concepts::Array< Real > &	val,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

virtualinherited

Definition at line 55 of file functionBase.hh.

◆ operator()() [4/10]

void hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::operator()	(	const Element &	elm,
		const concepts::Array< Real > &	coeff,
		concepts::Array< Real > &	val,
		const uint *	i
	)		const

virtualinherited

Definition at line 45 of file functionBase.hh.

◆ operator()() [5/10]

void hp2D::ElementFunction< dim, Real , Quad< typename concepts::Realtype< Real >::type > >::operator()	(	const Element &	elm,
		const uint *	j,
		concepts::Array< Real > &	val,
		const uint *	i
	)		const

virtualinherited

Definition at line 48 of file functionBase.hh.

◆ operator()() [6/10]

virtual void concepts::ElementFunction< Real , Q::type >::operator()	(	const Element< G > &	elm,
		const Array< F > &	coeff,
		Array< F > &	val,
		const Real	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

Evaluates the function value in an arbitrary point p of physical space.

Parameters

elm	Element
coeff	Coefficients of local shape functions
val	Function value
p	Point in space in local element coordinates
t	Point in time

◆ operator()() [7/10]

virtual void concepts::ElementFunction< Real , Q::type >::operator()	(	const Element< G > &	elm,
		const Array< F > &	coeff,
		Array< F > &	val,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

◆ operator()() [8/10]

virtual void concepts::ElementFunction< Real , Q::type >::operator()	(	const Element< G > &	elm,
		const Array< F > &	coeff,
		Array< F > &	val,
		const Real3d &	p,
		const Real	t = `0.0`
	)		const

pure virtualinherited

◆ operator()() [9/10]

virtual void concepts::ElementFunction< Real , Q::type >::operator()	(	const Element< G > &	elm,
		const Array< F > &	coeff,
		Array< F > &	val,
		const uint *	i
	)		const

pure virtualinherited

Evaluates the function on precalculated quadrature points.

Parameters

elm	Element
coeff	Coefficients of local shape functions
val	Function value
i	multi-index of the quadrature point

◆ operator()() [10/10]

virtual void concepts::ElementFunction< Real , Q::type >::operator()	(	const Element< G > &	elm,
		const uint *	j,
		Array< F > &	val,
		const uint *	i
	)		const

pure virtualinherited

Evaluates the given function on a specific shape function j (on precalculated quadrature points).

Parameters

elm	Element
j	multi-index of a shapefunction
val	Function value
i	multi-index of the quadrature point

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

hp2D/function.hh

hp2D::NeumannTrace< F, G > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Detailed Description

template<typename F = Real, typename G = typename concepts::Realtype<F>::type> class hp2D::NeumannTrace< F, G >

Member Typedef Documentation

◆ Element

Constructor & Destructor Documentation

◆ NeumannTrace()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ compute_() [1/3]

◆ compute_() [2/3]

◆ compute_() [3/3]

◆ info()

◆ n()

◆ operator()() [1/10]

◆ operator()() [2/10]

◆ operator()() [3/10]

◆ operator()() [4/10]

◆ operator()() [5/10]

◆ operator()() [6/10]

◆ operator()() [7/10]

◆ operator()() [8/10]

◆ operator()() [9/10]

◆ operator()() [10/10]

template<typename F = Real, typename G = typename concepts::Realtype<F>::type>
class hp2D::NeumannTrace< F, G >