Bilinear form in 2D, integral over an edge. More...

#include <bilinearForm.hh>

Inheritance diagram for hp2Dedge::EdgeIdentity:

Collaboration diagram for hp2Dedge::EdgeIdentity:

Public Member Functions
virtual EdgeIdentity *	clone () const
	Virtual constructor.
virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em, const ElementPair< typename Realtype< Real >::type > &ep)
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em)=0
	Evaluates the bilinear form for all shape functions on `elmX` and `elmY` and stores the result in the matrix `em`.
void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em)
	Computes the element mass matrix.
void	operator() (const Edge< Real > &elmX, const Edge< Real > &elmY, concepts::ElementMatrix< Real > &em)
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

Bilinear form in 2D, integral over an edge.

This linear form computes

$\int_{\partial K \cap \Gamma_N} g \vec{t} \vec v \, ds.$

where $\vec{t} = \vec{n}^\bot = {-n_y \choose n_x}$ is the tangential vector, $\vec{n}$ the outer normal vector and $g$ the tangential component of the Neumann boundary.

Author:: Kersten Schmidt, 2004

Definition at line 129 of file bilinearForm.hh.

Member Function Documentation

virtual EdgeIdentity* hp2Dedge::EdgeIdentity::clone ( ) const [inline, virtual]

Virtual constructor.

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

Implements concepts::Cloneable.

Definition at line 144 of file bilinearForm.hh.

virtual std::ostream& hp2Dedge::EdgeIdentity::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real >.

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::operator()	(	const Element< typename Realtype<Real >::type > &	elmX,
		const Element< typename Realtype<Real >::type > &	elmY,
		ElementMatrix< Real > &	em
	)		`[pure virtual, inherited]`

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

void hp2Dedge::EdgeIdentity::operator()	(	const Edge< Real > &	elmX,
		const Edge< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

void hp2Dedge::EdgeIdentity::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

Computes the element mass matrix.

There are the loops over all quadrature points and the loops over all shape functions.

Parameters:

elmX	The edge with the test functions
elmY	The edge with the trial functions
em	The element matrix

virtual void concepts::BilinearForm< Real , typename Realtype<Real >::type >::operator()	(	const Element< typename Realtype<Real >::type > &	elmX,
		const Element< typename Realtype<Real >::type > &	elmY,
		ElementMatrix< Real > &	em,
		const ElementPair< typename Realtype<Real >::type > &	ep
	)		`[inline, virtual, inherited]`

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 53 of file bilinearForm.hh.

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

hp2Dedge/bilinearForm.hh

Public Member Functions

Protected Member Functions

Detailed Description

Member Function Documentation