1D FEM element. More...

#include <element.hh>

Inheritance diagram for hp1D::Element< F >:

Collaboration diagram for hp1D::Element< F >:

Public Types
enum	intFormType { ZERO, ONE, TWO, THREE }
	Integration form, which determines terms coming from integration over reference element. More...
typedef F	type
Public Member Functions
void	appendT (concepts::TColumn< F > *T)
	Appends the T columns to the T matrix.
virtual const concepts::EdgeNd &	cell () const
	Returns the cell on which the element is built.
const concepts::Real3d	chi (const Real x) const
	Computes the element map.
	Element (const concepts::EdgeNd &cell, uint p, concepts::TColumn< F > T0, concepts::TColumn< F > T1)
	Constructor.
Real3d	elemMap (const Real coord_local) const
Real3d	elemMap (const Real2d &coord_local) const
Real3d	elemMap (const Real3d &coord_local) const
virtual const concepts::ElementGraphics < Real > *	graphics () const
const concepts::QuadratureRule *	integration () const
	Returns the integration rule.
Real	jacobianDeterminant (const Real x) const
	Computes the determinant of the Jacobian.
ushort	p () const
	Returns the polynomial degree.
virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
	Delivers a quadrature point.
void	recomputeShapefunctions ()
	Recompute shape functions, e.g.
const concepts::Karniadakis< 1, 0 > *	shpfct () const
	Returns the shape functions.
const concepts::Karniadakis< 1, 1 > *	shpfctD () const
	Returns the derivatives of the shape functions.
virtual const concepts::Edge &	support () const
virtual const concepts::TMatrix< F > &	T () const
	Returns the T matrix of the element.
uint &	tag ()
	Returns the tag.
virtual concepts::Real3d	vertex (uint i) const
virtual	~Element ()
Static Public Member Functions
static concepts::QuadRuleFactory &	rule ()
	Access to the quadrature rule, which is valid for all elements of this type (hp1D::IntegrableElm).
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
const concepts::EdgeNd &	cell_
	The cell.
std::auto_ptr < concepts::QuadratureRule >	int_
	The integration rule.
concepts::TMatrix< Real >	T_
	T matrix of the element.
Static Protected Attributes
static concepts::QuadRuleFactory	rule_
Private Attributes
ushort	p_
	Polynomial degree.
std::auto_ptr < concepts::Karniadakis< 1, 0 > >	shpfct_
	The shape functions.
std::auto_ptr < concepts::Karniadakis< 1, 1 > >	shpfctD_
	The derivatives of the shape functions.
Static Private Attributes
static std::auto_ptr < LineGraphics >	graphics_

Detailed Description

template<class F>
class hp1D::Element< F >

1D FEM element.

Author:: Philipp Frauenfelder, 2002

Definition at line 72 of file element.hh.

Member Typedef Documentation

template<class F>

typedef F concepts::Element< F >::type [inherited]

Definition at line 53 of file element.hh.

Member Enumeration Documentation

enum concepts::IntegrationCell::intFormType [inherited]

Integration form, which determines terms coming from integration over reference element.

Enumerator:

ZERO
ONE
TWO
THREE

Definition at line 27 of file integral.hh.

Constructor & Destructor Documentation

template<class F>

hp1D::Element< F >::Element	(	const concepts::EdgeNd &	cell,
		uint	p,
		concepts::TColumn< F > *	T0,
		concepts::TColumn< F > *	T1
	)

Constructor.

Parameters:

cell	Cell of this element
p	Polynomial degree of this element
T0	List of T columns for this element
T1	List of T columns for this element

template<class F>

virtual hp1D::Element< F >::~Element ( ) [virtual]

Reimplemented from concepts::Element< F >.

Member Function Documentation

template<class F>

void hp1D::Element< F >::appendT ( concepts::TColumn< F > * T ) [inline]

Appends the T columns to the T matrix.

Definition at line 91 of file element.hh.

template<class F>

virtual const concepts::EdgeNd& hp1D::Element< F >::cell ( ) const [inline, virtual]

Returns the cell on which the element is built.

Implements concepts::ElementWithCell< F >.

Definition at line 87 of file element.hh.

const concepts::Real3d hp1D::IntegrableElm::chi ( const Real x ) const [inline, inherited]

Computes the element map.

The reference element is [0,1].

Definition at line 32 of file element.hh.

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template<typename F>

Real3d concepts::ElementWithCell< F >::elemMap ( const Real coord_local ) const [inline, inherited]

Definition at line 83 of file element.hh.

template<typename F>

Real3d concepts::ElementWithCell< F >::elemMap ( const Real2d & coord_local ) const [inline, inherited]

Definition at line 87 of file element.hh.

template<typename F>

Real3d concepts::ElementWithCell< F >::elemMap ( const Real3d & coord_local ) const [inline, inherited]

Definition at line 91 of file element.hh.

template<class F>

virtual const concepts::ElementGraphics<Real>* hp1D::Element< F >::graphics ( ) const [virtual]

Reimplemented from concepts::Element< F >.

template<class F>

virtual std::ostream& hp1D::Element< F >::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

const concepts::QuadratureRule* hp1D::IntegrableElm::integration ( ) const [inline, inherited]

Returns the integration rule.

Definition at line 41 of file element.hh.

Real hp1D::IntegrableElm::jacobianDeterminant ( const Real x ) const [inline, inherited]

Computes the determinant of the Jacobian.

Definition at line 35 of file element.hh.

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template<class F>

ushort hp1D::Element< F >::p ( ) const [inline]

Returns the polynomial degree.

Definition at line 94 of file element.hh.

virtual bool hp1D::IntegrableElm::quadraturePoint	(	uint	i,
		intPoint &	p,
		intFormType	form = `ZERO`,
		bool	localCoord = `false`
	)		const `[virtual, inherited]`

Delivers a quadrature point.

Quadrature point consists of coordinates (for evaluation of formulas) and intermediate data, consisting of the weight and term coming from mapping.

Returns false, if the number of quadrature points is overstepped.

Parameters:

i	number of quadrature point
intPoint	data given back
form	Integration form
localCoord	If true, local coordinates are returned. Else physical coordinates.

Implements concepts::IntegrationCell.

template<class F>

void hp1D::Element< F >::recomputeShapefunctions ( )

Recompute shape functions, e.g.

for other abscissas redefined through IntegrableElm::rule().set(...)

static concepts::QuadRuleFactory& hp1D::IntegrableElm::rule ( ) [inline, static, inherited]

Access to the quadrature rule, which is valid for all elements of this type (hp1D::IntegrableElm).

Change of the quadrature rule is put into practice for newly created elements and for already created elements by precomputing the integration points and shape functions on them.

Definition at line 52 of file element.hh.

template<class F>

const concepts::Karniadakis<1,0>* hp1D::Element< F >::shpfct ( ) const [inline]

Returns the shape functions.

Definition at line 102 of file element.hh.

template<class F>

const concepts::Karniadakis<1,1>* hp1D::Element< F >::shpfctD ( ) const [inline]

Returns the derivatives of the shape functions.

Definition at line 104 of file element.hh.

template<class F>

virtual const concepts::Edge& hp1D::Element< F >::support ( ) const [inline, virtual]

Definition at line 84 of file element.hh.

template<class F>

virtual const concepts::TMatrix<F>& hp1D::Element< F >::T ( ) const [inline, virtual]

Returns the T matrix of the element.

Implements concepts::Element< F >.

Definition at line 89 of file element.hh.

template<class F>

uint& concepts::Element< F >::tag ( ) [inline, inherited]

Returns the tag.

Definition at line 65 of file element.hh.

template<class F>

virtual concepts::Real3d hp1D::Element< F >::vertex ( uint i ) const [virtual]

Member Data Documentation

const concepts::EdgeNd& hp1D::IntegrableElm::cell_ [protected, inherited]

The cell.

Reimplemented in hp2D::NeumannTraceElement< F >.

Definition at line 59 of file element.hh.

template<class F>

std::auto_ptr<LineGraphics> hp1D::Element< F >::graphics_ [static, private]

Definition at line 121 of file element.hh.

std::auto_ptr<concepts::QuadratureRule> hp1D::IntegrableElm::int_ [protected, inherited]

The integration rule.

Definition at line 61 of file element.hh.

template<class F>

ushort hp1D::Element< F >::p_ [private]

Polynomial degree.

Definition at line 120 of file element.hh.

concepts::QuadRuleFactory hp1D::IntegrableElm::rule_ [static, protected, inherited]

Definition at line 63 of file element.hh.

template<class F>

std::auto_ptr<concepts::Karniadakis<1,0> > hp1D::Element< F >::shpfct_ [private]

The shape functions.

Definition at line 115 of file element.hh.

template<class F>

std::auto_ptr<concepts::Karniadakis<1,1> > hp1D::Element< F >::shpfctD_ [private]

The derivatives of the shape functions.

Definition at line 117 of file element.hh.

template<class F>

concepts::TMatrix<Real> hp1D::Element< F >::T_ [protected]

T matrix of the element.

Definition at line 112 of file element.hh.

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

hp1D/element.hh

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Private Attributes

Static Private Attributes

Detailed Description

template<class F> class hp1D::Element< F >

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class F>
class hp1D::Element< F >