AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearEllipticPde.hpp>

Inheritance diagram for AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >:

[legend]

List of all members.

Public Member Functions
virtual double	ComputeConstantInUSourceTerm (const ChastePoint< SPACE_DIM > &rX)=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)
virtual	~AbstractLinearEllipticPde ()

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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 50 of file AbstractLinearEllipticPde.hpp.

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Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearEllipticPde

(

)

[inline, virtual]

Destructor.

Definition at line 99 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

)

[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

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

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>

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>

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 110 of file AbstractLinearEllipticPde.hpp.

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

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 116 of file AbstractLinearEllipticPde.hpp.

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

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

• pde/src/problem/common/AbstractLinearEllipticPde.hpp