#include <SimpleLinearEllipticSolver.hpp>

Inheritance diagram for SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

Public Member Functions
	SimpleLinearEllipticSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions)

void	InitialiseForSolve (Vec initialSolution=nullptr)

Public Member Functions inherited from AbstractAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1, NORMAL >
	AbstractAssemblerSolverHybrid (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > pBoundaryConditions)

virtual	~AbstractAssemblerSolverHybrid ()

void	SetupGivenLinearSystem (Vec currentSolution, bool computeMatrix, LinearSystem *pLinearSystem)

Public Member Functions inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, INTERPOLATION_LEVEL >
	AbstractFeVolumeIntegralAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh)

virtual	~AbstractFeVolumeIntegralAssembler ()

Public Member Functions inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL >
	AbstractFeAssemblerCommon ()

void	SetCurrentSolution (Vec currentSolution)

virtual	~AbstractFeAssemblerCommon ()

Public Member Functions inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
	AbstractFeAssemblerInterface ()

void	SetMatrixToAssemble (Mat &rMatToAssemble, bool zeroMatrixBeforeAssembly=true)

void	SetVectorToAssemble (Vec &rVecToAssemble, bool zeroVectorBeforeAssembly)

void	Assemble ()

void	AssembleMatrix ()

void	AssembleVector ()

virtual	~AbstractFeAssemblerInterface ()

Public Member Functions inherited from AbstractStaticLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, 1 >
	AbstractStaticLinearPdeSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh)

Vec	Solve (Vec initialGuess=nullptr)

Public Member Functions inherited from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
	AbstractLinearPdeSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh)

virtual	~AbstractLinearPdeSolver ()

virtual void	PrepareForSetupLinearSystem (Vec currentSolution)

virtual void	FinaliseLinearSystem (Vec currentSolution)

virtual void	FollowingSolveLinearSystem (Vec currentSolution)

LinearSystem *	GetLinearSystem ()

Protected Member Functions
virtual c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)>	ComputeMatrixTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

virtual c_vector< double, 1 *(ELEMENT_DIM+1)>	ComputeVectorTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

void	SetupLinearSystem (Vec currentSolution, bool computeMatrix)

Protected Member Functions inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, INTERPOLATION_LEVEL >
void	ComputeTransformedBasisFunctionDerivatives (const ChastePoint< ELEMENT_DIM > &rPoint, const c_matrix< double, ELEMENT_DIM, SPACE_DIM > &rInverseJacobian, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rReturnValue)

void	DoAssemble ()

virtual c_matrix< double, PROBLEM_DIM (ELEMENT_DIM+1), PROBLEM_DIM (ELEMENT_DIM+1)>	ComputeMatrixTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, PROBLEM_DIM > &rU, c_matrix< double, PROBLEM_DIM, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

virtual c_vector< double, PROBLEM_DIM *(ELEMENT_DIM+1)>	ComputeVectorTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, PROBLEM_DIM > &rU, c_matrix< double, PROBLEM_DIM, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

virtual void	AssembleOnElement (Element< ELEMENT_DIM, SPACE_DIM > &rElement, c_matrix< double, PROBLEM_DIM (ELEMENT_DIM+1), PROBLEM_DIM (ELEMENT_DIM+1) > &rAElem, c_vector< double, PROBLEM_DIM *(ELEMENT_DIM+1)> &rBElem)

virtual bool	ElementAssemblyCriterion (Element< ELEMENT_DIM, SPACE_DIM > &rElement)

Protected Member Functions inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL >
virtual double	GetCurrentSolutionOrGuessValue (unsigned nodeIndex, unsigned indexOfUnknown)

virtual void	ResetInterpolatedQuantities ()

virtual void	IncrementInterpolatedQuantities (double phiI, const Node< SPACE_DIM > *pNode)

virtual void	IncrementInterpolatedGradientQuantities (const c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, unsigned phiIndex, const Node< SPACE_DIM > *pNode)

Protected Attributes
AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > *	mpEllipticPde

Protected Attributes inherited from AbstractAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1, NORMAL >
NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >	mNaturalNeumannSurfaceTermAssembler

BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	mpBoundaryConditions

Protected Attributes inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, INTERPOLATION_LEVEL >
AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	mpMesh

GaussianQuadratureRule< ELEMENT_DIM > *	mpQuadRule

Protected Attributes inherited from AbstractFeAssemblerCommon< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL >
ReplicatableVector	mCurrentSolutionOrGuessReplicated

Protected Attributes inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
Vec	mVectorToAssemble

Mat	mMatrixToAssemble

bool	mAssembleMatrix

bool	mAssembleVector

bool	mZeroMatrixBeforeAssembly

bool	mZeroVectorBeforeAssembly

PetscInt	mOwnershipRangeLo

PetscInt	mOwnershipRangeHi

Protected Attributes inherited from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >
LinearSystem *	mpLinearSystem

AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	mpMesh

Additional Inherited Members
Protected Types inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, INTERPOLATION_LEVEL >
typedef LinearBasisFunction< ELEMENT_DIM >	BasisFunction

Detailed Description

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

SimpleLinearEllipticSolver.

Solver for solving AbstractLinearEllipticPdes.

Definition at line 49 of file SimpleLinearEllipticSolver.hpp.

Constructor & Destructor Documentation

◆ SimpleLinearEllipticSolver()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SimpleLinearEllipticSolver	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > *	pPde,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *	pBoundaryConditions
	)

Constructor.

Parameters

pMesh	pointer to the mesh
pPde	pointer to the PDE
pBoundaryConditions	pointer to the boundary conditions

Definition at line 74 of file SimpleLinearEllipticSolver.cpp.

References SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpEllipticPde.

Member Function Documentation

◆ ComputeMatrixTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)> SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeMatrixTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)

protectedvirtual

Returns: the term to be added to the element stiffness matrix - see AbstractFeVolumeIntegralAssembler

grad_phi[row] . ( pde_diffusion_term * grad_phi[col])

Parameters

rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
rX	The point in space
rU	The unknown as a vector, u(i) = u_i
rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
pElement	Pointer to the element

Definition at line 39 of file SimpleLinearEllipticSolver.cpp.

◆ ComputeVectorTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 1 *(ELEMENT_DIM+1)> SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::ComputeVectorTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)

protectedvirtual

Returns: the term arising from boundary conditions to be added to the element stiffness vector - see AbstractFeVolumeIntegralAssembler

Parameters

rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
rX	The point in space
rU	The unknown as a vector, u(i) = u_i
rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
pElement	Pointer to the element

Definition at line 62 of file SimpleLinearEllipticSolver.cpp.

◆ InitialiseForSolve()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::InitialiseForSolve ( Vec initialSolution = nullptr )

virtual

Overloaded InitaliseForSolve() which just calls the base class but also sets the matrix as symmetric and sets Conjugate Gradients as the solver

Parameters

initialSolution initialSolution (used in base class version of this method)

Reimplemented from AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 85 of file SimpleLinearEllipticSolver.cpp.

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

Referenced by CellBasedEllipticPdeSolver< DIM >::InitialiseForSolve().

◆ SetupLinearSystem()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void SimpleLinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SetupLinearSystem	(	Vec	currentSolution,
		bool	computeMatrix
	)

inlineprotectedvirtual

Delegate to AbstractAssemblerSolverHybrid::SetupGivenLinearSystem.

Parameters

currentSolution	The current solution which can be used in setting up the linear system if needed (NULL if there isn't a current solution)
computeMatrix	Whether to compute the LHS matrix of the linear system (mainly for dynamic solves).

Implements AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 110 of file SimpleLinearEllipticSolver.hpp.

References AbstractLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpLinearSystem, and AbstractAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1, NORMAL >::SetupGivenLinearSystem().