Double partial derivative in x direction of the approximated function in a FE space. More...

#include <function.hh>

Inheritance diagram for hp2D::Partial_xx< F, Q >:

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

Public Member Functions
virtual Partial_xx< F, Q > *	clone () const

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

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

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

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

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

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

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

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

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

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

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

virtual void	compute_ (const Q &elm, const uint j[3], F &val, const uint i[2]) const

Detailed Description

template<typename F, typename Q = Quad<Real>>
class hp2D::Partial_xx< F, Q >

Double partial derivative in x direction of the approximated function in a FE space.

Author: Robert Gruhlke, 2014

Definition at line 197 of file function.hh.

Member Typedef Documentation

◆ Element

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

inherited

Definition at line 40 of file functionBase.hh.

Member Function Documentation

◆ clone() [1/2]

template<typename F , typename Q = Quad<Real>>

virtual Partial_xx<F,Q>* hp2D::Partial_xx< F, Q >::clone ( ) const

virtual

◆ clone() [2/2]

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

pure virtualinherited

◆ compute_() [1/3]

template<typename F , typename Q = Quad<Real>>

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

privatevirtual

◆ compute_() [2/3]

template<typename F , typename Q = Quad<Real>>

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

privatevirtual

◆ compute_() [3/3]

template<typename F , typename Q = Quad<Real>>

virtual void hp2D::Partial_xx< F, Q >::compute_	(	const Q &	elm,
		const uint	j[3],
		F &	val,
		const uint	i[2]
	)		const

privatevirtual

◆ info()

template<typename F , typename Q = Quad<Real>>

virtual std::ostream& hp2D::Partial_xx< F, Q >::info ( std::ostream & os ) const

protectedvirtual

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

◆ n()

virtual uint hp2D::ElementFunction< dim, F, Quad< Real > >::n

inlinevirtualinherited

Number of components.

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

Definition at line 43 of file functionBase.hh.

◆ operator()() [1/10]

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

virtualinherited

Definition at line 45 of file functionBase.hh.

◆ operator()() [5/10]

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

virtualinherited

Definition at line 48 of file functionBase.hh.

◆ operator()() [6/10]

virtual void concepts::ElementFunction< F, 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< F, 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< F, 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< F, 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< F, 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::Partial_xx< F, Q > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Detailed Description

template<typename F, typename Q = Quad<Real>> class hp2D::Partial_xx< F, Q >

Member Typedef Documentation

◆ Element

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, typename Q = Quad<Real>>
class hp2D::Partial_xx< F, Q >