AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearEllipticPde.hpp>

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 ()

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 64 of file AbstractLinearEllipticPde.hpp.


Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
virtual AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearEllipticPde (  )  [inline, virtual]

Destructor.

Definition at line 113 of file AbstractLinearEllipticPde.hpp.


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>
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 124 of file AbstractLinearEllipticPde.hpp.

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

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.

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 130 of file AbstractLinearEllipticPde.hpp.

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


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

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