Class holding the quadrature rule and the cell of a 1D element. More...

#include <element.hh>

Inheritance diagram for hp1D::IntegrableElm:

Collaboration diagram for hp1D::IntegrableElm:

Public Types
enum	intFormType { ZERO, ONE, TWO, THREE }
	Integration form, which determines terms coming from integration over reference element. More...
Public Member Functions
const concepts::Real3d	chi (const Real x) const
	Computes the element map.
	IntegrableElm (const concepts::EdgeNd &cell)
const concepts::QuadratureRule *	integration () const
	Returns the integration rule.
Real	jacobianDeterminant (const Real x) const
	Computes the determinant of the Jacobian.
virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
	Delivers a quadrature point.
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 Attributes
const concepts::EdgeNd &	cell_
	The cell.
std::auto_ptr < concepts::QuadratureRule >	int_
	The integration rule.
Static Protected Attributes
static concepts::QuadRuleFactory	rule_

Detailed Description

Class holding the quadrature rule and the cell of a 1D element.

Definition at line 26 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

hp1D::IntegrableElm::IntegrableElm ( const concepts::EdgeNd & cell )

Member Function Documentation

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

Computes the element map.

The reference element is [0,1].

Definition at line 32 of file element.hh.

Here is the call graph for this function:

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

Returns the integration rule.

Definition at line 41 of file element.hh.

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

Computes the determinant of the Jacobian.

Definition at line 35 of file element.hh.

Here is the call graph for this function:

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

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.

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

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.