AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearEllipticPde.hpp>

Inheritance diagram for AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >:

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

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 59 of file AbstractLinearEllipticPde.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::AbstractLinearEllipticPde ( )

inline

Constructor.

Definition at line 81 of file AbstractLinearEllipticPde.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearEllipticPde ( )

inlinevirtual

Destructor.

Definition at line 87 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, Element< ELEMENT_DIM, SPACE_DIM > *  pElement  )

pure virtual

Returns

computed 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 )

virtual

Returns

computed 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 142 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

Returns

computed 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

Returns

computed 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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTermAtNode ( const Node< SPACE_DIM > &  rNode )

virtual

Returns

computed 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 148 of file AbstractLinearEllipticPde.hpp.

References 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  )

inlineprivate

Serialize the PDE object.

Parameters

archive	the archive
version	the current version of this class

Definition at line 72 of file AbstractLinearEllipticPde.hpp.

Friends And Related Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

friend class boost::serialization::access

friend

Needed for serialization.

Definition at line 64 of file AbstractLinearEllipticPde.hpp.

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

• pde/src/problem/AbstractLinearEllipticPde.hpp