hp1D::IntegrableElm Class Reference

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

#include <element.hh>

Inheritance 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. More...
	IntegrableElm (const concepts::EdgeNd &cell)
const concepts::QuadratureRule1d *	integration () const
	Returns the integration rule. More...
Real	jacobianDeterminant (const Real x) const
	Computes the determinant of the Jacobian. More...
virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const
	Delivers a quadrature point. More...

Static Public Member Functions
static concepts::QuadRuleFactory &	rule ()
	Access to the quadrature rule, which is valid for all elements of this type (hp1D::IntegrableElm). More...

Protected Attributes
const concepts::EdgeNd &	cell_
	The cell. More...
std::unique_ptr< concepts::QuadratureRule1d >	int_
	The integration rule. More...

Static Protected Attributes
static concepts::QuadRuleFactory	rule_

Detailed Description

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

Definition at line 34 of file element.hh.

Member Enumeration Documentation

intFormType

enum concepts::IntegrationCell::intFormType

inherited

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

Enumerator
ZERO
ONE
TWO
THREE

Definition at line 29 of file integral.hh.

Constructor & Destructor Documentation

IntegrableElm()

hp1D::IntegrableElm::IntegrableElm

(

const concepts::EdgeNd &

cell

)

Member Function Documentation

chi()

const concepts::Real3d hp1D::IntegrableElm::chi ( const Real  x ) const

inline

Computes the element map.

The reference element is [0,1].

Definition at line 40 of file element.hh.

integration()

const concepts::QuadratureRule1d* hp1D::IntegrableElm::integration ( ) const

inline

Returns the integration rule.

Definition at line 51 of file element.hh.

jacobianDeterminant()

Real hp1D::IntegrableElm::jacobianDeterminant ( const Real  x ) const

inline

Computes the determinant of the Jacobian.

Definition at line 45 of file element.hh.

quadraturePoint()

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.

rule()

static concepts::QuadRuleFactory& hp1D::IntegrableElm::rule ( )

inlinestatic

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 62 of file element.hh.

Member Data Documentation

cell_

const concepts::EdgeNd& hp1D::IntegrableElm::cell_

protected

The cell.

Definition at line 70 of file element.hh.

int_

std::unique_ptr<concepts::QuadratureRule1d> hp1D::IntegrableElm::int_

protected

The integration rule.

Definition at line 72 of file element.hh.

rule_

concepts::QuadRuleFactory hp1D::IntegrableElm::rule_

staticprotected

Definition at line 74 of file element.hh.

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

• hp1D/element.hh