hp1D::LevelRieszElement Class Referenceabstract

This class creates a linearform corresponding to the local contribution of one cell to the integral: More...

#include <levelRieszElement.hh>

Inheritance diagram for hp1D::LevelRieszElement:

Public Member Functions
	LevelRieszElement (const hp2D::Element< Real > &elm, const concepts::ElementFormulaContainer< Real > &levelFunction, const concepts::ElementFormulaContainer< Real2d > &levelFunctionGrad, const concepts::ElementFormulaContainer< Real > &observable)
	Constructor. More...
void	operator() (const concepts::Element< Real > &elm, concepts::ElementMatrix< Real > &em) const
virtual void	operator() (const Element< typename Realtype< concepts::Real >::type > &elm, ElementMatrix< concepts::Real > &em) const=0
	Computes the element contribution to the function. More...
	~LevelRieszElement ()
	Destructor. More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Private Attributes
const hp2D::Element< Real > &	elm2D_
const concepts::ElementFormulaContainer< Real >	levelFunction_
const concepts::ElementFormulaContainer< Real2d >	levelFunctionGrad_
const concepts::ElementFormulaContainer< Real >	observable_

Detailed Description

This class creates a linearform corresponding to the local contribution of one cell to the integral:

,

where \psi is a given 2D-function (must take values between 0 and 1 !) and f the function to be integrated.

These integrals, called geometric coefficients, are computed for all y in [0,1] via a Galerkin-projection on a polynomial space. As polynomials spaces one can choose the space of orthonormal Legendre-polynomials (hp1D::hpAdaptiveSpaceL2) or the space of Karniadakis-polynomials (hp1D::Space).

Author

Lukas Drescher, 2015, Felix Baumann 2017

Definition at line 34 of file levelRieszElement.hh.

Constructor & Destructor Documentation

LevelRieszElement()

hp1D::LevelRieszElement::LevelRieszElement	(	const hp2D::Element< Real > &	elm,
		const concepts::ElementFormulaContainer< Real > &	levelFunction,
		const concepts::ElementFormulaContainer< Real2d > &	levelFunctionGrad,
		const concepts::ElementFormulaContainer< Real > &	observable
	)

Constructor.

Parameters

elm	a 2D-element
levelFunction	levelset function. must take values in [0,1]
levelFunctionGrad	gradient of levelset function
observable	integrand over level sets of levelFunction

~LevelRieszElement()

hp1D::LevelRieszElement::~LevelRieszElement

(

)

Destructor.

Member Function Documentation

info()

virtual std::ostream& hp1D::LevelRieszElement::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented from concepts::LinearForm< concepts::Real >.

operator()() [1/2]

void hp1D::LevelRieszElement::operator()	(	const concepts::Element< Real > &	elm,
		concepts::ElementMatrix< Real > &	em
	)		const

operator()() [2/2]

virtual void concepts::LinearForm< concepts::Real , typename Realtype<concepts::Real >::type >::operator() ( const Element< G > &  elm, ElementMatrix< F > &  em  ) const

pure virtualinherited

Computes the element contribution to the function.

Parameters

elm	Element on which the computations should be performed
em	The local matrix

Member Data Documentation

elm2D_

const hp2D::Element<Real>& hp1D::LevelRieszElement::elm2D_

private

Definition at line 62 of file levelRieszElement.hh.

levelFunction_

const concepts::ElementFormulaContainer<Real> hp1D::LevelRieszElement::levelFunction_

private

Definition at line 63 of file levelRieszElement.hh.

levelFunctionGrad_

const concepts::ElementFormulaContainer<Real2d> hp1D::LevelRieszElement::levelFunctionGrad_

private

Definition at line 64 of file levelRieszElement.hh.

observable_

const concepts::ElementFormulaContainer<Real> hp1D::LevelRieszElement::observable_

private

Definition at line 65 of file levelRieszElement.hh.

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

• levelSets/levelRieszElement.hh