Discrete equivalent for a reaction term in 2D for linear FEM. More...

#include <bilinearForm2D.hh>

Inheritance diagram for linearFEM::Identity2d:

Collaboration diagram for linearFEM::Identity2d:

Public Member Functions
virtual Identity2d *	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 linearFEM::Quad &elmX, const linearFEM::Quad &elmY, concepts::ElementMatrix< Real > &em)
	Computes the element mass matrix for a quadrilateral.
void	operator() (const linearFEM::Triangle &elmX, const linearFEM::Triangle &elmY, concepts::ElementMatrix< Real > &em)
	Computes the element mass matrix for a triangle.
virtual void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &em)
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
concepts::Array< Real >	shpfct_
	Storage area for values of shape functions.

Detailed Description

Discrete equivalent for a reaction term in 2D for linear FEM.

This bilinear form computes the mass matrix resulting from the discretization of a reaction term with reaction coefficient 1:

$\int_K \phi_i \phi_j \, dx$

for the element shape functions $\phi_i$ .

Author:: Philipp Frauenfelder, 2002

Definition at line 60 of file bilinearForm2D.hh.

Member Function Documentation

virtual Identity2d* linearFEM::Identity2d::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 78 of file bilinearForm2D.hh.

virtual std::ostream& concepts::BilinearForm< Real , typename Realtype<Real >::type >::info ( std::ostream & os ) const [protected, virtual, inherited]

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

Reimplemented in hp2D::DiffussionReaction, TraceMass, hp2D::DivDiv< Weight >, hp2D::RotRot, hp2Dedge::RotRot, hp2Dedge::Identity, hp2Dedge::Graduv, hp2Dedge::EdgeIdentity, hp3D::Laplace, hp3D::Identity, hp3D::DivDiv< Weight >, hp3D::Hook, and hp3D::RotRot.

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.

Here is the call graph for this function:

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 linearFEM::Identity2d::operator()	(	const linearFEM::Quad &	elmX,
		const linearFEM::Quad &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

Computes the element mass matrix for a quadrilateral.

The mass matrix has to be integrated numericaly since the Jacobian of the element map is not constant.

void linearFEM::Identity2d::operator()	(	const linearFEM::Triangle &	elmX,
		const linearFEM::Triangle &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

Computes the element mass matrix for a triangle.

The mass matrix is precomputed since the element map is constant.

virtual void linearFEM::Identity2d::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)		`[virtual]`

Member Data Documentation

concepts::Array<Real> linearFEM::Identity2d::shpfct_ [private]

Storage area for values of shape functions.

Definition at line 81 of file bilinearForm2D.hh.

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

linearFEM/bilinearForm2D.hh

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Member Function Documentation

Member Data Documentation