This class uses OperationEllipticPDESolverSystemDirichlet to define a solver system for the Poission Equation. More...

#include <PoissonEquationEllipticPDESolverSystemDirichlet.hpp>

Inheritance diagram for sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet:

Public Member Functions
	PoissonEquationEllipticPDESolverSystemDirichlet (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &rhs)
	Constructor.

virtual	~PoissonEquationEllipticPDESolverSystemDirichlet ()
	Destructor.

Public Member Functions inherited from sgpp::pde::OperationEllipticPDESolverSystemDirichlet
virtual sgpp::base::DataVector *	generateRHS ()
	generates the right hand side of the system

virtual sgpp::base::DataVector *	getGridCoefficientsForCG ()
	gets a pointer to the sparse grids coefficients used in the CG method to solve one timestep.

virtual void	getSolutionBoundGrid (sgpp::base::DataVector &Solution, sgpp::base::DataVector &SolutionInner)
	Gets the solution for the complete grid.

virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	Multiplicates a vector with the matrix \( L \).

	OperationEllipticPDESolverSystemDirichlet (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &rhs)
	Constructor.

virtual	~OperationEllipticPDESolverSystemDirichlet ()
	Destructor.

Public Member Functions inherited from sgpp::pde::OperationEllipticPDESolverSystem
size_t	getNumGridPointsComplete ()
	Returns the number of grid points for the complete grid.

size_t	getNumGridPointsInner ()
	Returns the number of grid points for the inner grid.

	OperationEllipticPDESolverSystem (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &rhs)
	Constructor.

virtual	~OperationEllipticPDESolverSystem ()
	Destructor.

Public Member Functions inherited from sgpp::base::OperationMatrix
	OperationMatrix ()
	Constructor.

virtual	~OperationMatrix ()
	Destructor.

Protected Member Functions
void	applyLOperatorComplete (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	applies the PDE's system matrix, on complete grid - with boundaries

void	applyLOperatorInner (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	applies the PDE's system matrix, on inner grid only

Protected Attributes
sgpp::base::OperationMatrix *	Laplace_Complete

sgpp::base::OperationMatrix *	Laplace_Inner

Protected Attributes inherited from sgpp::pde::OperationEllipticPDESolverSystemDirichlet
sgpp::base::DataVector *	alpha_inner
	Pointer to the alphas (ansatzfunctions' coefficients; inner points only)

sgpp::base::DirichletUpdateVector *	BoundaryUpdate
	Routine to modify the boundaries/inner points of the grid.

sgpp::base::DirichletGridConverter *	GridConverter
	Class that allows a simple conversion between a grid with and a without boundary points.

sgpp::base::Grid *	InnerGrid
	Pointer to the inner grid object.

sgpp::base::DataVector *	rhs_inner
	rhs for the inner grid

Protected Attributes inherited from sgpp::pde::OperationEllipticPDESolverSystem
sgpp::base::Grid *	BoundGrid
	Pointer to the grid object.

size_t	numGridpointsComplete
	Stores number of gridpoints, complete grid.

size_t	numGridpointsInner
	Stores number of gridpoints, inner grid.

sgpp::base::DataVector *	rhs
	the right hand side of the system

Detailed Description

This class uses OperationEllipticPDESolverSystemDirichlet to define a solver system for the Poission Equation.

For the mult-routine only the Laplace-Operator is required

Constructor & Destructor Documentation

◆ PoissonEquationEllipticPDESolverSystemDirichlet()

sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet::PoissonEquationEllipticPDESolverSystemDirichlet	(	sgpp::base::Grid &	SparseGrid,
		sgpp::base::DataVector &	rhs
	)

Constructor.

Parameters

SparseGrid	reference to a sparse grid on which the Poisson Equation should be solved
rhs	the right hand side for solving the elliptic PDE

References sgpp::pde::OperationEllipticPDESolverSystem::BoundGrid, sgpp::op_factory::createOperationLaplace(), sgpp::pde::OperationEllipticPDESolverSystemDirichlet::InnerGrid, Laplace_Complete, and Laplace_Inner.

◆ ~PoissonEquationEllipticPDESolverSystemDirichlet()

sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet::~PoissonEquationEllipticPDESolverSystemDirichlet ( )

virtual

Destructor.

References Laplace_Complete, and Laplace_Inner.

Member Function Documentation

◆ applyLOperatorComplete()

void sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet::applyLOperatorComplete	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result
	)

protectedvirtual

applies the PDE's system matrix, on complete grid - with boundaries

Parameters

alpha	the coefficients of the sparse grid's ansatzfunctions
result	reference to the sgpp::base::DataVector into which the result is written

Implements sgpp::pde::OperationEllipticPDESolverSystemDirichlet.

References alpha, Laplace_Complete, and sgpp::base::OperationMatrix::mult().

◆ applyLOperatorInner()

void sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet::applyLOperatorInner	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result
	)