Chaste Release::3.1
AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractExtendedBidomainSolver.hpp>

Inheritance diagram for AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >:
Collaboration diagram for AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >:

List of all members.

Public Member Functions

 AbstractExtendedBidomainSolver (bool bathSimulation, AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, ExtendedBidomainTissue< SPACE_DIM > *pTissue, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 3 > *pBcc, unsigned numQuadPoints=2)
virtual ~AbstractExtendedBidomainSolver ()
void SetFixedExtracellularPotentialNodes (std::vector< unsigned > fixedExtracellularPotentialNodes)
void SetRowForAverageOfPhiZeroed (unsigned rowMeanPhiEZero)
BoundaryConditionsContainer
< ELEMENT_DIM, SPACE_DIM, 3 > * 
GetBoundaryConditions ()

Protected Member Functions

void InitialiseForSolve (Vec initialSolution)
virtual void CheckCompatibilityCondition ()
void PrepareForSetupLinearSystem (Vec existingSolution)
virtual void FinaliseLinearSystem (Vec existingSolution)
virtual Vec GenerateNullBasis () const

Protected Attributes

bool mBathSimulation
ExtendedBidomainTissue
< SPACE_DIM > * 
mpExtendedBidomainTissue
BoundaryConditionsContainer
< ELEMENT_DIM, SPACE_DIM, 3 > * 
mpBoundaryConditions
unsigned mNumQuadPoints
ExtendedBidomainAssembler
< ELEMENT_DIM, SPACE_DIM > * 
mpExtendedBidomainAssembler
HeartConfigmpConfig
bool mNullSpaceCreated
std::vector< unsignedmFixedExtracellularPotentialNodes
unsigned mRowForAverageOfPhiZeroed

Detailed Description

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

Abstract class with shared functionalities for different extended bidomain solvers.

Definition at line 50 of file AbstractExtendedBidomainSolver.hpp.


Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::AbstractExtendedBidomainSolver ( bool  bathSimulation,
AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *  pMesh,
ExtendedBidomainTissue< SPACE_DIM > *  pTissue,
BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 3 > *  pBcc,
unsigned  numQuadPoints = 2 
)

Constructor stores the mesh and pde and sets up boundary conditions.

Parameters:
bathSimulationWhether the simulation has a perfusing bath
pMeshpointer to the mesh
pTissuepointer to the PDE
pBccpointer to the boundary conditions container
numQuadPointsnumber of quadrature points (defaults to 2)

Definition at line 205 of file AbstractExtendedBidomainSolver.cpp.

References HeartConfig::Instance(), AbstractDynamicLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, 3 >::mMatrixIsConstant, AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mNullSpaceCreated, AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpConfig, AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpExtendedBidomainAssembler, and AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mRowForAverageOfPhiZeroed.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::~AbstractExtendedBidomainSolver ( ) [virtual]

Destructor.

Definition at line 232 of file AbstractExtendedBidomainSolver.cpp.


Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::CheckCompatibilityCondition ( ) [protected, virtual]

Checks whether the linear system will have a solution (if so, infinite solutions) instead of zero solutions. The condition is, if the linear system is Ax=b, that sum b_i over for all the PHI_E components (ie i=2,5,8,..) is zero.

This check is not made if running in parallel, or in debug mode.

The reason why the sum must be zero: the Fredholm alternative states that a singular system Ax=b has a solution if and only if v.b=0 for all v in ker(A) (ie all v such that Av=b). The nullspace ker(A) is one dimensional with basis vector v = (0,0,1,0,0,1....0,0,1), so v.b = sum_{i=2,5,8..} b_i.

Definition at line 169 of file AbstractExtendedBidomainSolver.cpp.

References DistributedVector::Begin(), DistributedVector::End(), and EXCEPTION.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::FinaliseLinearSystem ( Vec  existingSolution) [protected, virtual]

FinaliseAssembleSystem

Called at the end of SetupLinearSystem(), before the system is solver Here, used to avoid problems with phi_e drifting by one of 3 methods: pinning nodes, using a null space, or using an "average phi_e = 0" row.

Parameters:
existingSolutionSolution at current time

Reimplemented from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 115 of file AbstractExtendedBidomainSolver.cpp.

References PetscTools::Destroy().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
Vec AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::GenerateNullBasis ( ) const [protected, virtual]

GenerateNullBasis

Called by FinaliseAssembleSystem to get the null basis to use for the particular formulation of the extended idomain equations used.

Definition at line 89 of file AbstractExtendedBidomainSolver.cpp.

References DistributedVector::Begin(), DistributedVectorFactory::CreateDistributedVector(), DistributedVectorFactory::CreateVec(), DistributedVector::End(), and DistributedVector::Restore().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
BoundaryConditionsContainer<ELEMENT_DIM,SPACE_DIM,3>* AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::GetBoundaryConditions ( ) [inline]

Get the boundary conditions being used

Definition at line 194 of file AbstractExtendedBidomainSolver.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::InitialiseForSolve ( Vec  initialSolution) [protected, virtual]

Create the linear system object if it hasn't been already. Can use an initial solution as PETSc template, or base it on the mesh size.

Parameters:
initialSolutionan initial guess

Reimplemented from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Reimplemented in ExtendedBidomainSolver< ELEM_DIM, SPACE_DIM >.

Definition at line 39 of file AbstractExtendedBidomainSolver.cpp.

References AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::InitialiseForSolve(), and HeartConfig::Instance().

Referenced by ExtendedBidomainSolver< ELEM_DIM, SPACE_DIM >::InitialiseForSolve().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::PrepareForSetupLinearSystem ( Vec  existingSolution) [protected, virtual]

PrepareForSetupLinearSystem

Called at the beginning of SetupLinearSystem(). Here, used to integrate cell model odes.

Parameters:
existingSolutionis the voltage to feed into the cell models

Reimplemented from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 81 of file AbstractExtendedBidomainSolver.cpp.

References PdeSimulationTime::GetPdeTimeStep(), and PdeSimulationTime::GetTime().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::SetFixedExtracellularPotentialNodes ( std::vector< unsigned fixedExtracellularPotentialNodes)

Set the nodes at which phi_e (the extracellular potential) is fixed to zero. This does not necessarily have to be called. If it is not, phi_e is only defined up to a constant.

Parameters:
fixedExtracellularPotentialNodesthe nodes to be fixed.

NOTE: currently, the value of phi_e at the fixed nodes cannot be set to be anything other than zero.

Definition at line 237 of file AbstractExtendedBidomainSolver.cpp.

References EXCEPTION.

Referenced by ExtendedBidomainProblem< DIM >::CreateSolver().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::SetRowForAverageOfPhiZeroed ( unsigned  rowMeanPhiEZero)

Used when removing a single row to resolve singularity and replacing it with a constraint on the average phi_e being zero. It is set from the problem class.

Parameters:
rowMeanPhiEZeroindicates the row of the matrix to be replaced.

Definition at line 269 of file AbstractExtendedBidomainSolver.cpp.

References EXCEPTION.


Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
bool AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mBathSimulation [protected]

Whether the simulation involves a perfusing bath

Definition at line 57 of file AbstractExtendedBidomainSolver.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
std::vector<unsigned> AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mFixedExtracellularPotentialNodes [protected]

Used when pinning nodes to resolve singularity. This vector indicates the global indices of the nodes to be pinned

Definition at line 88 of file AbstractExtendedBidomainSolver.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
bool AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mNullSpaceCreated [protected]

Used when intialising null-space solver to resolve singularity

Definition at line 82 of file AbstractExtendedBidomainSolver.hpp.

Referenced by AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::AbstractExtendedBidomainSolver().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mNumQuadPoints [protected]

Number of quadrature points per dimension (only saved so it can be passed to the assembler)

Definition at line 70 of file AbstractExtendedBidomainSolver.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
BoundaryConditionsContainer<ELEMENT_DIM,SPACE_DIM,3>* AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpBoundaryConditions [protected]
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
HeartConfig* AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpConfig [protected]

Local cache of the configuration singleton instance

Definition at line 79 of file AbstractExtendedBidomainSolver.hpp.

Referenced by AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::AbstractExtendedBidomainSolver().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
ExtendedBidomainAssembler<ELEMENT_DIM,SPACE_DIM>* AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpExtendedBidomainAssembler [protected]

The extended bidomain assembler, used to set up the LHS matrix, (but not used to set uo the RHS)

Reimplemented in ExtendedBidomainSolver< ELEM_DIM, SPACE_DIM >.

Definition at line 76 of file AbstractExtendedBidomainSolver.hpp.

Referenced by AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::AbstractExtendedBidomainSolver().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
ExtendedBidomainTissue<SPACE_DIM>* AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mpExtendedBidomainTissue [protected]

The tissue object over which to solve the equation

Definition at line 61 of file AbstractExtendedBidomainSolver.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
unsigned AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::mRowForAverageOfPhiZeroed [protected]

Used when removing a single row to resolve singularity and replacing it with a constraint on the average phi_e being zero. This number indicates the row of the matrix to be replaced. This is INT_MAX if unset. It is set from the problem class.

Definition at line 96 of file AbstractExtendedBidomainSolver.hpp.

Referenced by AbstractExtendedBidomainSolver< ELEMENT_DIM, SPACE_DIM >::AbstractExtendedBidomainSolver().


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