BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <BidomainMatrixBasedAssembler.hpp>

Inheritance diagram for BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >:

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Collaboration diagram for BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >:

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List of all members.

Public Member Functions

 BidomainMatrixBasedAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, BidomainPde< SPACE_DIM > *pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 2 > *pBcc, unsigned numQuadPoints=2)
 ~BidomainMatrixBasedAssembler ()
virtual void ConstructVectorForMatrixBasedRhsAssembly (Vec existingSolution)

Protected Attributes

BidomainRhsMatrixAssembler
< SPACE_DIM > * 
mpBidomainRhsMatrixAssembler


Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
class BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >

BidomainMatrixBasedAssembler

This class makes use of the functionality in its parent, AbstractDynamicAssemblerMixin, for specifying a constant matrix B and time-dependent vector z such that the finite element RHS vector b (in Ax=b) satisfies Bz=b, and therefore b can be constructed very quickly each timestep (compared to looping over elements and assembling it.

For the bidomain problem, B is the mass matrix for 2 unknowns (see BidomainRhsMatrixAssembler) ***IF*** the unknowns were ordered [V1 V2 .. V_N phi_e1 ... phi_eN ], then z would be

z = [z1] [z2] where z1 = CA V^{m}/dt - A I_ionic - Istim_intra and z2 = -Istim_extra,

where V is the vector of voltages are the last timestep, and I_ionic and I_stim are nodewise vectors of ionic currents and stimulus currents (and C is the capacitance and A surface-area-to-volume ratio).

Definition at line 194 of file BidomainMatrixBasedAssembler.hpp.


Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >::BidomainMatrixBasedAssembler ( AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *  pMesh,
BidomainPde< SPACE_DIM > *  pPde,
BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 2 > *  pBcc,
unsigned  numQuadPoints = 2 
) [inline]

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


Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >::ConstructVectorForMatrixBasedRhsAssembly ( Vec  existingSolution  )  [inline, virtual]


Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
BidomainRhsMatrixAssembler<SPACE_DIM>* BidomainMatrixBasedAssembler< ELEMENT_DIM, SPACE_DIM >::mpBidomainRhsMatrixAssembler [protected]


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

Generated on Tue Aug 4 16:10:54 2009 for Chaste by  doxygen 1.5.5