hp2D::ElementFunction< dim, F, Q > Class Template Reference

Base class for element functions for hp elements in 2D. More...

#include <functionBase.hh>

Inheritance diagram for hp2D::ElementFunction< dim, F, Q >:

Collaboration diagram for hp2D::ElementFunction< dim, F, Q >:

List of all members.

Public Types
typedef concepts::Element < typename Q::type >	Element
Public Member Functions
virtual ElementFunction< F, Q::type > *	clone () const =0
virtual uint	n () const
	Number of components.
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).
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.
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 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 &elm, const concepts::Array< F > &coeff, concepts::Array< F > &val, const Real p, const Real t=0.0) 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.
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
	Evaluates the function value in an arbitrary point p of physical space.
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
	Evaluates the function value in an arbitrary point p of physical space.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Member Functions
virtual void	compute_ (const Q &elm, const concepts::Array< F > &coeff, concepts::Array< F > &val, const uint i[2]) const =0
virtual void	compute_ (const Q &elm, const concepts::Array< F > &coeff, concepts::Array< F > &val, const Real2d &p, const Real t=0.0) const =0
virtual void	compute_ (const Q &elm, const uint j[3], concepts::Array< F > &val, const uint i[2]) const =0

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Detailed Description

template<uint dim, typename F = Real, typename Q = Quad<Real>>
class hp2D::ElementFunction< dim, F, Q >

Base class for element functions for hp elements in 2D.

The derivated classes have only to implement the three compute_ methods for element of type Q, i.e. quads with different shape functions. The class can be extended to new types, like triangles, with new template parameter and new compute_ methods.

The case of scalar function with template parameter dim = 1 is declared below.

Author:

Kersten Schmidt, 2005

Definition at line 34 of file functionBase.hh.

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Member Typedef Documentation

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

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

Definition at line 38 of file functionBase.hh.

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Member Function Documentation

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

(

)

const [pure virtual, inherited]

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

virtual void hp2D::ElementFunction< dim, F, Q >::compute_	(	const Q &	elm,
		const uint	j[3],
		concepts::Array< F > &	val,
		const uint	i[2]
	)		const [private, pure virtual]

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

virtual void hp2D::ElementFunction< dim, F, Q >::compute_	(	const Q &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const Real2d &	p,
		const Real	t = 0.0
	)		const [private, pure virtual]

Implemented in hp2D::Grad< F >, hp2D::PlCurl< F >, hp2D::Grad< Cmplx >, and hp2D::PlCurl< Cmplx >.

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

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

Implemented in hp2D::Grad< F >, hp2D::PlCurl< F >, hp2D::Grad< Cmplx >, and hp2D::PlCurl< Cmplx >.

virtual std::ostream& concepts::ElementFunction< F, Q::type >::info

(

std::ostream &

os

)

const [inline, protected, virtual, inherited]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Definition at line 66 of file function.hh.

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

virtual uint hp2D::ElementFunction< dim, F, Q >::n

(

)

const [inline, virtual]

Number of components.

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

Definition at line 41 of file functionBase.hh.

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

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

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

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

template<uint dim, typename F, typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator()	(	const Element &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const uint *	i
	)		const [virtual]

Definition at line 78 of file functionBase.hh.

template<uint dim, typename F, typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator()	(	const Element &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const Real	p,
		const Real	t = 0.0
	)		const [virtual]

Definition at line 100 of file functionBase.hh.

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

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

template<uint dim, typename F, typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator()	(	const Element &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const concepts::Real3d &	p,
		const Real	t = 0.0
	)		const [virtual]

Definition at line 124 of file functionBase.hh.

template<uint dim, typename F, typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator()	(	const Element &	elm,
		const concepts::Array< F > &	coeff,
		concepts::Array< F > &	val,
		const Real2d &	p,
		const Real	t = 0.0
	)		const [virtual]

Definition at line 113 of file functionBase.hh.

template<uint dim, typename F, typename Q >

void hp2D::ElementFunction< dim, F, Q >::operator()	(	const Element &	elm,
		const uint *	j,
		concepts::Array< F > &	val,
		const uint *	i
	)		const [virtual]

Definition at line 89 of file functionBase.hh.

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

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

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

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

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

• hp2D/functionBase.hh