AbstractNonlinearEllipticPde< SPACE_DIM > Class Template Reference

#include <AbstractNonlinearEllipticPde.hpp>

Collaboration diagram for AbstractNonlinearEllipticPde< SPACE_DIM >:

Public Member Functions
virtual double	ComputeLinearSourceTerm (const ChastePoint< SPACE_DIM > &rX)=0
virtual double	ComputeNonlinearSourceTerm (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual c_matrix< double, SPACE_DIM, SPACE_DIM >	ComputeDiffusionTerm (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual c_matrix< double, SPACE_DIM, SPACE_DIM >	ComputeDiffusionTermPrime (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual double	ComputeNonlinearSourceTermPrime (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual	~AbstractNonlinearEllipticPde ()

Detailed Description

template<unsigned SPACE_DIM>
class AbstractNonlinearEllipticPde< SPACE_DIM >

AbstractNonlinearEllipticPde class.

A simple elliptic PDE in 1 unknown with nonlinear diffusion term as well as nonlinear source term:

0 = Grad.(DiffusionTerm(x,u)*Grad(u))+LinearSourceTerm(x)+NonlinearSourceTerm(x, u)

Definition at line 52 of file AbstractNonlinearEllipticPde.hpp.

Constructor & Destructor Documentation

template<unsigned SPACE_DIM>

virtual AbstractNonlinearEllipticPde< SPACE_DIM >::~AbstractNonlinearEllipticPde ( )

inlinevirtual

Destructor.

Definition at line 98 of file AbstractNonlinearEllipticPde.hpp.

Member Function Documentation

template<unsigned SPACE_DIM>

virtual c_matrix<double, SPACE_DIM, SPACE_DIM> AbstractNonlinearEllipticPde< SPACE_DIM >::ComputeDiffusionTerm ( const ChastePoint< SPACE_DIM > &  rX, double  u  )

pure virtual

Returns

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

Parameters

rX	the point in space at which the diffusion term is computed.
u	the value of the dependent variable at the point

template<unsigned SPACE_DIM>

virtual c_matrix<double, SPACE_DIM, SPACE_DIM> AbstractNonlinearEllipticPde< SPACE_DIM >::ComputeDiffusionTermPrime ( const ChastePoint< SPACE_DIM > &  rX, double  u  )

pure virtual

Returns

computed derivative of diffusion term.

Parameters

rX	the point in space at which the diffusion term is computed.
u	the value of the dependent variable at the point

template<unsigned SPACE_DIM>

virtual double AbstractNonlinearEllipticPde< SPACE_DIM >::ComputeLinearSourceTerm ( const ChastePoint< SPACE_DIM > &  rX )

pure virtual

Returns

computed linear source term.

Parameters

rX	the point in space at which the linear source term is computed

template<unsigned SPACE_DIM>

virtual double AbstractNonlinearEllipticPde< SPACE_DIM >::ComputeNonlinearSourceTerm ( const ChastePoint< SPACE_DIM > &  rX, double  u  )

pure virtual

Returns

computed nonlinear 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

template<unsigned SPACE_DIM>

virtual double AbstractNonlinearEllipticPde< SPACE_DIM >::ComputeNonlinearSourceTermPrime ( const ChastePoint< SPACE_DIM > &  rX, double  u  )

pure virtual

Returns

computed derivative of nonlinear 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

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

• pde/src/problem/AbstractNonlinearEllipticPde.hpp