A function class to calculate element matrices for the Rot u*Rot v Bilinearform. More...

#include <rotrot.hh>

Inheritance diagram for hp2D::RotRot:

Collaboration diagram for hp2D::RotRot:

Public Member Functions
virtual RotRot *	clone () const
	Virtual constructor.
virtual MaxwellSharedData *	data () const
	Returns the data to be shared.
virtual void	data (concepts::Cloneable *d)
	Sets the data to be shared.
virtual void	operator() (const concepts::Element< Real > &elmX, const concepts::Element< Real > &elmY, concepts::ElementMatrix< Real > &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`.
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`.
void	operator() (const Quad< Real > &elmX, const Quad< Real > &elmY, concepts::ElementMatrix< Real > &em)
	RotRot (concepts::Array< Real > &jacobian, concepts::Array< concepts::MapReal2d > &jacobianInv, const Quad< Real > **oldElm, const uint i=0, const uint j=0)
	Constructor of the i.th row and j.th column of vectorial Bilinearform.
	RotRot (const uint i=0, const uint j=0)
	Constructor of the i.th row and j.th column of vectorial Bilinearform.
virtual	~RotRot ()
Static Public Member Functions
static void	setup (vectorial::BilinearForm< Real, Real > &bf)
	Sets up the bilinear form for the rot-rot part for Maxwell's equation using weighted regularization.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Attributes
concepts::Array < concepts::MapReal2d >	coeffMatrix_
	Intermediate data for element matrix computation.
uint	i_
	row and column inside the vectorial Bilinearform
uint	j_

concepts::Array< Real > *	jacobian_
	Data shared between components of the rot-rot bilinear forms,.
concepts::Array < concepts::MapReal2d > *	jacobianInv_
	Data shared between components of the rot-rot bilinear forms,.
const Quad< Real > **	oldElm_
	Data shared between components of the rot-rot bilinear forms,.
MaxwellSharedData *	sharedData_
	Data shared between components of the rot-rot bilinear forms,.

Detailed Description

A function class to calculate element matrices for the Rot u*Rot v Bilinearform.

The whole rot-rot term is discretized by using all components in a vector valued bilinear form of size 2x2. This is best set up using the RotRot::setup method. It also takes care of correctly shared data using RotRotSharedData.

Author:: Kersten Schmidt, 2003

Definition at line 39 of file rotrot.hh.

Constructor & Destructor Documentation

hp2D::RotRot::RotRot	(	const uint	i = `0`,
		const uint	j = `0`
	)		`[inline]`

Constructor of the i.th row and j.th column of vectorial Bilinearform.

Definition at line 43 of file rotrot.hh.

hp2D::RotRot::RotRot	(	concepts::Array< Real > &	jacobian,
		concepts::Array< concepts::MapReal2d > &	jacobianInv,
		const Quad< Real > **	oldElm,
		const uint	i = `0`,
		const uint	j = `0`
	)		`[inline]`

Constructor of the i.th row and j.th column of vectorial Bilinearform.

Definition at line 47 of file rotrot.hh.

virtual hp2D::RotRot::~RotRot ( ) [virtual]

Member Function Documentation

virtual RotRot* hp2D::RotRot::clone ( ) const [virtual]

Virtual constructor.

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

Implements concepts::Cloneable.

virtual void hp2D::RotRot::data ( concepts::Cloneable * ) [virtual]

Sets the data to be shared.

Implements vectorial::Vectorizable.

virtual MaxwellSharedData* hp2D::RotRot::data ( ) const [virtual]

Returns the data to be shared.

Implements vectorial::Vectorizable.

virtual std::ostream& hp2D::RotRot::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

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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virtual void hp2D::RotRot::operator()	(	const concepts::Element< Real > &	elmX,
		const concepts::Element< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)		`[virtual]`

void hp2D::RotRot::operator()	(	const Quad< Real > &	elmX,
		const Quad< Real > &	elmY,
		concepts::ElementMatrix< Real > &	em
	)

static void hp2D::RotRot::setup ( vectorial::BilinearForm< Real, Real > & bf ) [static]

Sets up the bilinear form for the rot-rot part for Maxwell's equation using weighted regularization.

Parameters:

bf	Resulting bilinear form (use this to compute the matrix)

Precondition:: The number of components of bf needs to be 2 x 2.

Member Data Documentation

concepts::Array<concepts::MapReal2d> hp2D::RotRot::coeffMatrix_ [private]

Intermediate data for element matrix computation.

Definition at line 78 of file rotrot.hh.

uint hp2D::RotRot::i_ [private]

row and column inside the vectorial Bilinearform

Definition at line 75 of file rotrot.hh.

uint hp2D::RotRot::j_ [private]

Definition at line 75 of file rotrot.hh.

concepts::Array<Real>* hp2D::RotRot::jacobian_ [private]

Data shared between components of the rot-rot bilinear forms,.

Definition at line 82 of file rotrot.hh.

concepts::Array<concepts::MapReal2d>* hp2D::RotRot::jacobianInv_ [private]

Data shared between components of the rot-rot bilinear forms,.

Definition at line 83 of file rotrot.hh.

const Quad<Real>** hp2D::RotRot::oldElm_ [private]

Data shared between components of the rot-rot bilinear forms,.

Definition at line 84 of file rotrot.hh.

MaxwellSharedData* hp2D::RotRot::sharedData_ [private]

Data shared between components of the rot-rot bilinear forms,.

Definition at line 85 of file rotrot.hh.

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

hp2D/rotrot.hh

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation