The Laplacian of the approximated function in a FE space. More...

#include <function.hh>

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

Public Member Functions
virtual Laplacian< F > *	clone () const

virtual ElementFunction< Real, typename concepts::Realtype< Real >::type > *	clone () const=0

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

virtual uint	n () const=0
	Number of components. More...

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

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

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

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

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

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

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

void	operator() (const concepts::Element< G > &elm, const uint j, F &val, const uint i) const

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

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

virtual void	operator() (const Element< typename concepts::Realtype< Real >::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< typename concepts::Realtype< Real >::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
bool	compute_ (const Quad< Real > *elm, const concepts::Array< F > &coeff, F &val, const Real2d &p, const Real t) const

template<class H >
bool	compute_ (H elm, const concepts::Array< F > &coeff, F &val, const uint i[2]) const

template<class H >
bool	compute_ (H 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::Laplacian< F, G >

The Laplacian of the approximated function in a FE space.

Author: Robert Gruhlke, 2013

Definition at line 137 of file function.hh.

Member Function Documentation

◆ clone() [1/2]

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

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

inlinevirtual

Definition at line 139 of file function.hh.

◆ clone() [2/2]

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

pure virtualinherited

◆ compute_() [1/3]

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

bool hp2D::Laplacian< F, G >::compute_	(	const Quad< Real > *	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const Real2d &	p,
		const Real	t
	)		const

private

◆ compute_() [2/3]

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

template<class H >

bool hp2D::Laplacian< F, G >::compute_	(	H	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const uint	i[2]
	)		const

private

◆ compute_() [3/3]

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

template<class H >

bool hp2D::Laplacian< F, G >::compute_	(	H	elm,
		const uint	j[2],
		F &	val,
		const uint	i[2]
	)		const

private

◆ info()

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

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

protectedvirtual

Reimplemented from concepts::ElementFunction< Real, typename concepts::Realtype< Real >::type >.

◆ n() [1/2]

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

virtual uint hp2D::Laplacian< F, G >::n ( ) const

inlinevirtual

Number of components.

Definition at line 142 of file function.hh.

◆ n() [2/2]

virtual uint concepts::ElementFunction< Real , typename concepts::Realtype< Real >::type >::n ( ) const

pure virtualinherited

Number of components.

◆ operator()() [1/13]

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

virtual void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const concepts::Real3d &	p,
		const Real	t = `0.0`
	)		const

virtual

◆ operator()() [2/13]

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

virtual void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const Real	p,
		const Real	t = `0.0`
	)		const

virtual

◆ operator()() [3/13]

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

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

virtual

◆ operator()() [4/13]

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

virtual void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const uint *	i
	)		const

virtual

◆ operator()() [5/13]

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

void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const Real2d &	p,
		const Real	t = `0.0`
	)		const

◆ operator()() [6/13]

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

void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const concepts::Array< F > &	coeff,
		F &	val,
		const uint *	i
	)		const

◆ operator()() [7/13]

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

virtual void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const uint *	j,
		concepts::Array< F > &	val,
		const uint *	i
	)		const

virtual

◆ operator()() [8/13]

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

void hp2D::Laplacian< F, G >::operator()	(	const concepts::Element< G > &	elm,
		const uint *	j,
		F &	val,
		const uint *	i
	)		const

◆ operator()() [9/13]

virtual void concepts::ElementFunction< Real , typename concepts::Realtype< Real >::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()() [10/13]

virtual void concepts::ElementFunction< Real , typename concepts::Realtype< Real >::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()() [11/13]

virtual void concepts::ElementFunction< Real , typename concepts::Realtype< Real >::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()() [12/13]

virtual void concepts::ElementFunction< Real , typename concepts::Realtype< Real >::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()() [13/13]

virtual void concepts::ElementFunction< Real , typename concepts::Realtype< Real >::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::Laplacian< F, G > Class Template Referenceabstract

Public Member Functions

Protected Member Functions

Private Member Functions

Detailed Description

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

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ compute_() [1/3]

◆ compute_() [2/3]

◆ compute_() [3/3]

◆ info()

◆ n() [1/2]

◆ n() [2/2]

◆ operator()() [1/13]

◆ operator()() [2/13]

◆ operator()() [3/13]

◆ operator()() [4/13]

◆ operator()() [5/13]

◆ operator()() [6/13]

◆ operator()() [7/13]

◆ operator()() [8/13]

◆ operator()() [9/13]

◆ operator()() [10/13]

◆ operator()() [11/13]

◆ operator()() [12/13]

◆ operator()() [13/13]

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