AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearParabolicPde.hpp>

List of all members.

Public Member Functions

virtual double ComputeDuDtCoefficientFunction (const ChastePoint< SPACE_DIM > &rX)=0
virtual double ComputeSourceTerm (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual double ComputeSourceTermAtNode (const Node< SPACE_DIM > &rNode, double u)
virtual c_matrix< double,
SPACE_DIM, SPACE_DIM > 
ComputeDiffusionTerm (const ChastePoint< SPACE_DIM > &rX, Element< ELEMENT_DIM, SPACE_DIM > *pElement=NULL)=0
virtual ~AbstractLinearParabolicPde ()


Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>
class AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >

AbstractLinearParabolicPde class.

A general PDE of the form: c(x) du/dt = Grad.(DiffusionTerm(x)*Grad(u))+LinearSourceTerm(x)+NonlinearSourceTerm(x, u)

Definition at line 46 of file AbstractLinearParabolicPde.hpp.


Constructor & Destructor Documentation

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

Destructor.

Definition at line 85 of file AbstractLinearParabolicPde.hpp.


Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>
virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeDuDtCoefficientFunction ( const ChastePoint< SPACE_DIM > &  rX  )  [pure virtual]

The function c(x) in "c(x) du/dt = Grad.(DiffusionTerm(x)*Grad(u))+LinearSourceTerm(x)+NonlinearSourceTerm(x, u)"

Parameters:
rX the point in space at which the function c is computed

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>
virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTerm ( const ChastePoint< SPACE_DIM > &  rX,
double  u 
) [pure virtual]

Compute source term.

Parameters:
rX the point in space at which the nonlinear source term is computed
u the value of the dependent variable at the point

Referenced by AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTermAtNode().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTermAtNode ( const Node< SPACE_DIM > &  rNode,
double  u 
) [inline, virtual]

Compute source term at a node.

Parameters:
rNode the node at which the nonlinear source term is computed
u the value of the dependent variable at the node

Definition at line 97 of file AbstractLinearParabolicPde.hpp.

References AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTerm(), and Node< SPACE_DIM >::GetPoint().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>
virtual c_matrix<double, SPACE_DIM, SPACE_DIM> AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeDiffusionTerm ( const ChastePoint< SPACE_DIM > &  rX,
Element< ELEMENT_DIM, SPACE_DIM > *  pElement = NULL 
) [pure virtual]

Compute diffusion term. The diffusion tensor should be symmetric and positive definite.

Parameters:
rX The point in space at which the diffusion term is computed.
pElement The mesh element that x is contained in (optional).
Returns:
A matrix.


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

Generated on Mon Nov 1 12:35:44 2010 for Chaste by  doxygen 1.5.5