#include <bilinearForm.hh>

Inheritance diagram for hp2Dedge::EdgeIdentity:

Public Member Functions
void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em) const

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

virtual EdgeIdentity *	clone () const

virtual void	operator() (const Element< typename Realtype< Real >::type > &elmX, const Element< typename Realtype< Real >::type > &elmY, ElementMatrix< Real > &em) const=0

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) const

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 the tangential component of the Neumann boundary.

Author: Kersten Schmidt, 2004

Definition at line 119 of file bilinearForm.hh.

Member Function Documentation

◆ clone()

virtual EdgeIdentity * hp2Dedge::EdgeIdentity::clone ( ) const

inlinevirtual

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

Implements concepts::BilinearForm< Real >.

Definition at line 134 of file bilinearForm.hh.

◆ info()

virtual std::ostream & hp2Dedge::EdgeIdentity::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::BilinearForm< Real >.

◆ operator()() [1/3]

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

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

◆ operator()() [2/3]

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

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 , 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
	)		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.

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

hp2Dedge/bilinearForm.hh

Class documentation of Concepts

Public Member Functions

Protected Member Functions

Detailed Description

Member Function Documentation

◆ clone()

◆ info()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]