AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearEllipticPde.hpp>

List of all members.

Public Member Functions
	AbstractLinearEllipticPde ()
virtual	~AbstractLinearEllipticPde ()
virtual double	ComputeConstantInUSourceTerm (const ChastePoint< SPACE_DIM > &rX, Element< ELEMENT_DIM, SPACE_DIM > *pElement)=0
virtual double	ComputeLinearInUCoeffInSourceTerm (const ChastePoint< SPACE_DIM > &rX, Element< ELEMENT_DIM, SPACE_DIM > *pElement)=0
virtual c_matrix< double, SPACE_DIM, SPACE_DIM >	ComputeDiffusionTerm (const ChastePoint< SPACE_DIM > &rX)=0
virtual double	ComputeConstantInUSourceTermAtNode (const Node< SPACE_DIM > &rNode)
virtual double	ComputeLinearInUCoeffInSourceTermAtNode (const Node< SPACE_DIM > &rNode)
Private Member Functions
template<class Archive >
void	serialize (Archive &archive, const unsigned int version)
Friends
class	boost::serialization::access

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Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >

AbstractLinearEllipticPde class.

A general PDE of the form: 0 = Grad.(DiffusionTerm(x)*Grad(u)) + ComputeConstantInUSourceTerm(x) + ComputeLinearInUCoeffInSourceTerm(x, u)

Parabolic PDEs are be derived from this (AbstractLinearParabolicPde)

Definition at line 52 of file AbstractLinearEllipticPde.hpp.

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Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::AbstractLinearEllipticPde

(

)

[inline]

Constructor.

Definition at line 74 of file AbstractLinearEllipticPde.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearEllipticPde

(

)

[inline, virtual]

Destructor.

Definition at line 80 of file AbstractLinearEllipticPde.hpp.

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Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual double AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeConstantInUSourceTerm	(	const ChastePoint< SPACE_DIM > &	rX,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)			[pure virtual]

Compute the constant in u part of the source term, i.e g(x) in Div(D Grad u) + f(x)u + g(x) = 0, at a given point.

Parameters:

	rX	The point in space
	pElement	The element

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeConstantInUSourceTermAtNode

(

const Node< SPACE_DIM > &

rNode

)

[inline, virtual]

Compute the constant in u part of the source term, i.e g(x) in Div(D Grad u) + f(x)u + g(x) = 0, at a given node.

Parameters:

rNode

the node

Definition at line 134 of file AbstractLinearEllipticPde.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual c_matrix<double, SPACE_DIM, SPACE_DIM> AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeDiffusionTerm

(

const ChastePoint< SPACE_DIM > &

rX

)

[pure virtual]

Compute the diffusion term at a given point. The diffusion tensor should be symmetric and positive definite

Parameters:

rX

The point in space at which the diffusion term is computed.

Returns:

A matrix.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual double AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTerm	(	const ChastePoint< SPACE_DIM > &	rX,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)			[pure virtual]

Compute the coefficient of u in the linear part of the source term, i.e f(x) in Div(D Grad u) + f(x)u + g(x) = 0, at a given point in space.

Parameters:

	rX	The point in space
	pElement

Referenced by AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTermAtNode().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTermAtNode

(

const Node< SPACE_DIM > &

rNode

)

[inline, virtual]

Compute the coefficient of u in the linear part of the source term, i.e f(x) in Div(D Grad u) + f(x)u + g(x) = 0, at a given node.

Parameters:

rNode

the node

Definition at line 140 of file AbstractLinearEllipticPde.hpp.

References AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTerm(), and Node< SPACE_DIM >::GetPoint().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

template<class Archive >

void AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::serialize	(	Archive &	archive,
		const unsigned int	version
	)			[inline, private]

Serialize the PDE object.

Parameters:

	archive	the archive
	version	the current version of this class

Reimplemented in AveragedSourcePde< DIM >, CellwiseSourcePde< DIM >, SimpleUniformSourcePde< DIM >, and VolumeDependentAveragedSourcePde< DIM >.

Definition at line 65 of file AbstractLinearEllipticPde.hpp.

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Friends And Related Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

friend class boost::serialization::access [friend]

Needed for serialization.

Reimplemented in AveragedSourcePde< DIM >, CellwiseSourcePde< DIM >, SimpleUniformSourcePde< DIM >, and VolumeDependentAveragedSourcePde< DIM >.

Definition at line 57 of file AbstractLinearEllipticPde.hpp.

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

• pde/src/problem/AbstractLinearEllipticPde.hpp