UniformSourceEllipticPde< DIM > Class Template Reference

#include <UniformSourceEllipticPde.hpp>

Inheritance diagram for UniformSourceEllipticPde< DIM >:

Collaboration diagram for UniformSourceEllipticPde< DIM >:

Public Member Functions
	UniformSourceEllipticPde (double sourceCoefficient=0.0)
double	GetCoefficient () const
double	ComputeConstantInUSourceTerm (const ChastePoint< DIM > &rX, Element< DIM, DIM > *pElement)
double	ComputeLinearInUCoeffInSourceTerm (const ChastePoint< DIM > &rX, Element< DIM, DIM > *pElement)
c_matrix< double, DIM, DIM >	ComputeDiffusionTerm (const ChastePoint< DIM > &rX)
Public Member Functions inherited from AbstractLinearEllipticPde< DIM, DIM >
	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)
Public Member Functions inherited from AbstractLinearPde< ELEMENT_DIM, SPACE_DIM >
	AbstractLinearPde ()
virtual	~AbstractLinearPde ()

Private Member Functions
template<class Archive >
void	serialize (Archive &archive, const unsigned int version)

Private Attributes
double	mSourceCoefficient

Friends
class	TestCellBasedEllipticPdes
class	boost::serialization::access

Detailed Description

template<unsigned DIM>
class UniformSourceEllipticPde< DIM >

An elliptic PDE to be solved numerically using the finite element method, for coupling to a cell-based simulation.

The PDE takes the form

Grad.(Grad(u)) + k = 0,

where the scalar k is specified by the member mSourceCoefficient, whose value must be set in the constructor.

Thus, there is no direct coupling between the cell-based simulation and the terms of the PDE; here, the cell population just defines the spatial domain on which to solve the PDE.

Definition at line 60 of file UniformSourceEllipticPde.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

UniformSourceEllipticPde< DIM >::UniformSourceEllipticPde

(

double

sourceCoefficient = 0.0

)

Constructor.

Parameters

sourceCoefficient

the source term coefficient (defaults to 0.0)

Definition at line 39 of file UniformSourceEllipticPde.cpp.

Member Function Documentation

template<unsigned DIM>

double UniformSourceEllipticPde< DIM >::ComputeConstantInUSourceTerm	(	const ChastePoint< DIM > &	rX,
		Element< DIM, DIM > *	pElement
	)

Overridden ComputeConstantInUSourceTerm() method.

Parameters

rX	The point in space
pElement	The element

Returns

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

Definition at line 51 of file UniformSourceEllipticPde.cpp.

template<unsigned DIM>

c_matrix< double, DIM, DIM > UniformSourceEllipticPde< DIM >::ComputeDiffusionTerm

(

const ChastePoint< DIM > &

rX

)

Overridden ComputeDiffusionTerm() method.

Parameters

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

Returns

a matrix.

Definition at line 63 of file UniformSourceEllipticPde.cpp.

References EXPORT_TEMPLATE_CLASS_SAME_DIMS.

template<unsigned DIM>

double UniformSourceEllipticPde< DIM >::ComputeLinearInUCoeffInSourceTerm	(	const ChastePoint< DIM > &	rX,
		Element< DIM, DIM > *	pElement
	)

Overridden ComputeLinearInUCoeffInSourceTerm() method.

Parameters

rX	The point in space
pElement	the element

Returns

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.

Definition at line 57 of file UniformSourceEllipticPde.cpp.

References UniformSourceEllipticPde< DIM >::mSourceCoefficient.

template<unsigned DIM>

double UniformSourceEllipticPde< DIM >::GetCoefficient

(

)

const

Returns

mSourceCoefficient

Definition at line 45 of file UniformSourceEllipticPde.cpp.

References UniformSourceEllipticPde< DIM >::mSourceCoefficient.

template<unsigned DIM>

template<class Archive >

void UniformSourceEllipticPde< DIM >::serialize ( Archive &  archive, const unsigned int  version  )

inlineprivate

Serialize the PDE and its member variables.

Parameters

archive	the archive
version	the current version of this class

Definition at line 75 of file UniformSourceEllipticPde.hpp.

References UniformSourceEllipticPde< DIM >::mSourceCoefficient.

Friends And Related Function Documentation

template<unsigned DIM>

friend class boost::serialization::access

friend

Needed for serialization.

Definition at line 67 of file UniformSourceEllipticPde.hpp.

Member Data Documentation

template<unsigned DIM>

double UniformSourceEllipticPde< DIM >::mSourceCoefficient

private

Coefficient of source term.

Definition at line 82 of file UniformSourceEllipticPde.hpp.

Referenced by UniformSourceEllipticPde< DIM >::ComputeLinearInUCoeffInSourceTerm(), UniformSourceEllipticPde< DIM >::GetCoefficient(), and UniformSourceEllipticPde< DIM >::serialize().

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

• cell_based/src/cell_based_pde/pdes/UniformSourceEllipticPde.hpp
• cell_based/src/cell_based_pde/pdes/UniformSourceEllipticPde.cpp