SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <SimpleLinearParabolicSolver.hpp>

Inherits AbstractAssemblerSolverHybrid< ELEMENT_DIM, SPACE_DIM, 1, NORMAL >, and AbstractDynamicLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, 1 >.

Collaboration diagram for SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >:

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List of all members.

Public Member Functions
	SimpleLinearParabolicSolver (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM > *pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions)
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 Attributes
AbstractLinearParabolicPde < ELEMENT_DIM, SPACE_DIM > *	mpParabolicPde

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Detailed Description

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

SimpleLinearParabolicSolver.

Solver for solving AbstractLinearParabolicPdes

Definition at line 50 of file SimpleLinearParabolicSolver.hpp.

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Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::SimpleLinearParabolicSolver	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM > *	pPde,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *	pBoundaryConditions
	)			[inline]

Constructor.

Parameters:

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

Definition at line 68 of file SimpleLinearParabolicSolver.cpp.

References AbstractDynamicLinearPdeSolver< ELEMENT_DIM, SPACE_DIM, 1 >::mMatrixIsConstant, and SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::mpParabolicPde.

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Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_matrix< double, 1 *(ELEMENT_DIM+1), 1 *(ELEMENT_DIM+1)> SimpleLinearParabolicSolver< 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
	)			[inline, protected, virtual]

Returns:

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

grad_phi[row] . ( pde_diffusion_term * grad_phi[col]) + (1.0/mDt) * pPde->ComputeDuDtCoefficientFunction(rX) * rPhi[row] * rPhi[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 SimpleLinearParabolicSolver.cpp.

References PdeSimulationTime::GetPdeTimeStepInverse(), and SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::mpParabolicPde.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

c_vector< double, 1 *(ELEMENT_DIM+1)> SimpleLinearParabolicSolver< 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
	)			[inline, protected, virtual]

Returns:

the term 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 54 of file SimpleLinearParabolicSolver.cpp.

References PdeSimulationTime::GetPdeTimeStepInverse(), and SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::mpParabolicPde.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

void SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::SetupLinearSystem	(	Vec	currentSolution,
		bool	computeMatrix
	)			[inline, protected, virtual]

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 112 of file SimpleLinearParabolicSolver.hpp.

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

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Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractLinearParabolicPde<ELEMENT_DIM,SPACE_DIM>* SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::mpParabolicPde [protected]

The PDE to be solved.

Definition at line 57 of file SimpleLinearParabolicSolver.hpp.

Referenced by SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::ComputeMatrixTerm(), SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::ComputeVectorTerm(), and SimpleLinearParabolicSolver< ELEMENT_DIM, SPACE_DIM >::SimpleLinearParabolicSolver().

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

• pde/src/solver/SimpleLinearParabolicSolver.hpp
• pde/src/solver/SimpleLinearParabolicSolver.cpp