#include <SimpleNonlinearEllipticSolver.hpp>

Inheritance diagram for SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >:

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

Public Member Functions inherited from AbstractNonlinearAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1 >
void	ComputeResidual (const Vec currentGuess, Vec residualVector)

void	ComputeJacobian (const Vec currentGuess, Mat *pJacobian)

	AbstractNonlinearAssemblerSolverHybrid (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > pBoundaryConditions)

virtual	~AbstractNonlinearAssemblerSolverHybrid ()

virtual Vec	Solve (Vec initialGuess, bool useAnalyticalJacobian=false)

void	SetNonlinearSolver (AbstractNonlinearSolver *pNonlinearSolver)

bool	VerifyJacobian (double tol)

Public Member Functions inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, NONLINEAR >
	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 ()

Private 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)

Private Attributes
AbstractNonlinearEllipticPde< SPACE_DIM > *	mpNonlinearEllipticPde

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

Protected Member Functions inherited from AbstractNonlinearAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1 >
void	ApplyDirichletConditions (Vec currentGuess, Vec residual, Mat *pMat)

void	ComputeJacobianNumerically (const Vec currentGuess, Mat *pJacobian)

Protected Member Functions inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, NONLINEAR >
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 inherited from AbstractNonlinearAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1 >
AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	mpMesh

BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	mpBoundaryConditions

AbstractNonlinearSolver *	mpSolver

bool	mWeAllocatedSolverMemory

bool	mUseAnalyticalJacobian

NaturalNeumannSurfaceTermAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > *	mpNeumannSurfaceTermsAssembler

Protected Attributes inherited from AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, true, true, NONLINEAR >
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

Detailed Description

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

Solver of nonlinear elliptic PDEs.

Definition at line 46 of file SimpleNonlinearEllipticSolver.hpp.

Constructor & Destructor Documentation

◆ SimpleNonlinearEllipticSolver()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::SimpleNonlinearEllipticSolver	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		AbstractNonlinearEllipticPde< 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 101 of file SimpleNonlinearEllipticSolver.cpp.

Member Function Documentation

◆ ComputeMatrixTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)> SimpleNonlinearEllipticSolver< 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
	)

privatevirtual

Returns: the matrix to be added to element stiffness matrix for a given Gauss point. The arguments are the bases, bases gradients, x and current solution computed at the Gauss point. The returned matrix will be multiplied by the Gauss weight and Jacobian determinant and added to the element stiffness matrix (see AssembleOnElement()).

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 SimpleNonlinearEllipticSolver.cpp.

◆ ComputeVectorTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 1 *(ELEMENT_DIM+1)> SimpleNonlinearEllipticSolver< 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
	)

privatevirtual

Returns: the vector to be added to element stiffness vector for a given Gauss point. The arguments are the bases, x and current solution computed at the Gauss point. The returned vector will be multiplied by the Gauss weight and Jacobian determinant and added to the element stiffness matrix (see AssembleOnElement()).

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 72 of file SimpleNonlinearEllipticSolver.cpp.

Member Data Documentation

◆ mpNonlinearEllipticPde

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractNonlinearEllipticPde<SPACE_DIM>* SimpleNonlinearEllipticSolver< ELEMENT_DIM, SPACE_DIM >::mpNonlinearEllipticPde

private

The PDE to be solved.

Definition at line 51 of file SimpleNonlinearEllipticSolver.hpp.

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

pde/src/solver/SimpleNonlinearEllipticSolver.hpp
pde/src/solver/SimpleNonlinearEllipticSolver.cpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SimpleNonlinearEllipticSolver()

Member Function Documentation

◆ ComputeMatrixTerm()

◆ ComputeVectorTerm()

Member Data Documentation

◆ mpNonlinearEllipticPde