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, unsigned numQuadPoints=2)
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 43 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,
		unsigned	numQuadPoints = 2
	)			[inline]

Constructor.

Parameters:

	pMesh	pointer to the mesh
	pPde	pointer to the PDE
	pBoundaryConditions	pointer to the boundary conditions
	numQuadPoints	number of quadrature points in each dimension to use per element (defaults to 2)

Definition at line 61 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]

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 32 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]

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 47 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 105 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 50 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