A function class to calculate element matrices for the Product the mean of the second derivative and of the Jump of the derivative. More...

#include <bilinearForm.hh>

Inheritance diagram for hp1D::Mean2Jump1< F >:

Public Member Functions
virtual Mean2Jump1< F > *	clone () const
	Virtual constructor. More...

virtual BilinearForm *	clone () const=0
	Virtual constructor. More...

const concepts::ElementFormula< Real > *	formula () const
	Getter for formula. More...

const concepts::Array< Real >	getFrmVal (const hp1D::Element< Real > &elm) const
	Returns the values of frm on {0,1}. More...

const concepts::Array< Real >	getInvJacobeanDet (const hp1D::Element< Real > &elm) const
	Returns the inverse of the jacobean determinant (i.J.d.) More...

const concepts::Array< Real >	getInvJacobeanDetSq (const hp1D::Element< Real > &elm) const
	Returns the inverse of the jacobean determinant squared (i.J.d.s.) More...

const concepts::Array< Real >	getTangentialSecondDerivative (const hp1D::Element< Real > &elm) const
	Returns the second tangential derivative (s.t.d.) of the inverse Parametrisation on {0,1}. More...

	Mean2Jump1 (const concepts::ElementFormulaContainer< F > frm=concepts::ElementFormulaContainer< F >())
	Constructor. More...

void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< F > &em) const
	Operator. More...

virtual void	operator() (const Element< Real > &elmX, const Element< Real > &elmY, ElementMatrix< Real > &em) const=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`. More...

virtual void	operator() (const Element< Real > &elmX, const Element< Real > &elmY, ElementMatrix< Real > &em, const ElementPair< Real > &ep) const
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`. More...

virtual	~Mean2Jump1 ()
	Destructor. More...

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

Protected Attributes
const concepts::ElementFormulaContainer< F >	frm_
	ElementFormula. More...

Detailed Description

template<class F = Real>
class hp1D::Mean2Jump1< F >

A function class to calculate element matrices for the Product the mean of the second derivative and of the Jump of the derivative.

Author: Christian Heier, 2012

Definition at line 200 of file bilinearForm.hh.

Constructor & Destructor Documentation

◆ Mean2Jump1()

template<class F = Real>

hp1D::Mean2Jump1< F >::Mean2Jump1 ( const concepts::ElementFormulaContainer< F > frm = concepts::ElementFormulaContainer<F>() )

inline

Constructor.

The formula frm is evaluated in each quadrature point.

Definition at line 207 of file bilinearForm.hh.

◆ ~Mean2Jump1()

template<class F = Real>

virtual hp1D::Mean2Jump1< F >::~Mean2Jump1 ( )

virtual

Destructor.

Member Function Documentation

◆ clone() [1/2]

template<class F = Real>

virtual Mean2Jump1<F>* hp1D::Mean2Jump1< F >::clone ( ) const

inlinevirtual

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

Implements concepts::Cloneable.

Definition at line 219 of file bilinearForm.hh.

◆ clone() [2/2]

virtual BilinearForm* concepts::BilinearForm< Real , Real >::clone ( ) const

pure virtualinherited

Virtual constructor.

Returns a pointer to a copy of itself. The caller is responsible to destroy this copy.

◆ formula()

const concepts::ElementFormula<Real >* hp1D::BilinearFormVtxHelper< Real >::formula ( ) const

inlineinherited

Getter for formula.

Definition at line 272 of file formula.hh.

◆ getFrmVal()

const concepts::Array<Real > hp1D::BilinearFormVtxHelper< Real >::getFrmVal ( const hp1D::Element< Real > & elm ) const

inherited

Returns the values of frm on {0,1}.

Returns: Array of size 2, with the values frm on {0,1}

◆ getInvJacobeanDet()

const concepts::Array<Real> hp1D::BilinearFormVtxHelper< Real >::getInvJacobeanDet ( const hp1D::Element< Real > & elm ) const

inherited

Returns the inverse of the jacobean determinant (i.J.d.)

Returns: Array of size 2, with the values i.J.d. on {0,1}

◆ getInvJacobeanDetSq()

const concepts::Array<Real> hp1D::BilinearFormVtxHelper< Real >::getInvJacobeanDetSq ( const hp1D::Element< Real > & elm ) const

inherited

Returns the inverse of the jacobean determinant squared (i.J.d.s.)

Returns: Array of size 2, with the values of i.J.d.s. on {0,1}

◆ getTangentialSecondDerivative()

const concepts::Array<Real> hp1D::BilinearFormVtxHelper< Real >::getTangentialSecondDerivative ( const hp1D::Element< Real > & elm ) const

inherited

Returns the second tangential derivative (s.t.d.) of the inverse Parametrisation on {0,1}.

Returns: Array of size 2, with the values of the s.t.d. on {0,1}

◆ info()

template<class F = Real>

virtual std::ostream& hp1D::Mean2Jump1< F >::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real, Real >.

◆ operator()() [1/3]

template<class F = Real>

void hp1D::Mean2Jump1< F >::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< F > &	em
	)		const

Operator.

◆ operator()() [2/3]

virtual void concepts::BilinearForm< Real , Real >::operator()	(	const Element< G > &	elmX,
		const Element< G > &	elmY,
		ElementMatrix< F > &	em
	)		const

pure virtualinherited

Evaluates the bilinear form for all shape functions on elmX and elmY and stores the result in the matrix em.

Postcondition: The returned matrix em has the correct size.

Parameters

elmX	Left element (test functions)
elmY	Right element (trial functions)
em	Return element matrix

◆ operator()() [3/3]

virtual void concepts::BilinearForm< Real , Real >::operator()	(	const Element< G > &	elmX,
		const Element< G > &	elmY,
		ElementMatrix< F > &	em,
		const ElementPair< G > &	ep
	)		const

inlinevirtualinherited

Evaluates the bilinear form for all shape functions on elmX and elmY and stores the result in the matrix em.

If this method is not reimplemented in a derived class, the default behaviour is to call the application operator without ep.

Postcondition: The returned matrix em has the correct size.

Parameters

elmX	Left element
elmY	Right element
em	Return element matrix
ep	Element pair holding more information on the pair `elmX` and `elmY`

Definition at line 57 of file bilinearForm.hh.

Member Data Documentation

◆ frm_

template<class F = Real>

const concepts::ElementFormulaContainer<F> hp1D::Mean2Jump1< F >::frm_

protected

ElementFormula.

Definition at line 227 of file bilinearForm.hh.

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

hp1D/bilinearForm.hh

hp1D::Mean2Jump1< F > Class Template Referenceabstract

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class F = Real> class hp1D::Mean2Jump1< F >

Constructor & Destructor Documentation

◆ Mean2Jump1()

◆ ~Mean2Jump1()

Member Function Documentation

◆ clone() [1/2]

◆ clone() [2/2]

◆ formula()

◆ getFrmVal()

◆ getInvJacobeanDet()

◆ getInvJacobeanDetSq()

◆ getTangentialSecondDerivative()

◆ info()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]

Member Data Documentation

◆ frm_

template<class F = Real>
class hp1D::Mean2Jump1< F >