sgpp::pde::OperationEllipticPDESolverSystem Class Reference

Abstract definition of a System that is used to solve elliptic partial differential equations. More...

#include <OperationEllipticPDESolverSystem.hpp>

Inheritance diagram for sgpp::pde::OperationEllipticPDESolverSystem:

Public Member Functions
virtual sgpp::base::DataVector *	generateRHS ()=0
	generates the right hand side of the system More...
size_t	getNumGridPointsComplete ()
	Returns the number of grid points for the complete grid. More...
size_t	getNumGridPointsInner ()
	Returns the number of grid points for the inner grid. More...
virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)=0
	Multiplicates a vector with the matrix \( L \). More...
	OperationEllipticPDESolverSystem (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &rhs)
	Constructor. More...
virtual	~OperationEllipticPDESolverSystem ()
	Destructor. More...
Public Member Functions inherited from sgpp::base::OperationMatrix
	OperationMatrix ()
	Constructor. More...
virtual	~OperationMatrix ()
	Destructor. More...

Protected Attributes
sgpp::base::Grid *	BoundGrid
	Pointer to the grid object. More...
size_t	numGridpointsComplete
	Stores number of gridpoints, complete grid. More...
size_t	numGridpointsInner
	Stores number of gridpoints, inner grid. More...
sgpp::base::DataVector *	rhs
	the right hand side of the system More...

Detailed Description

Abstract definition of a System that is used to solve elliptic partial differential equations.

So an instance of this class has to pass to any SLE Solver used in SGpp.

\(L \vec{u} = rhs\)

L: space discretization (L-Operator) rhs: right hand side

Constructor & Destructor Documentation

OperationEllipticPDESolverSystem()

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

Constructor.

Parameters

SparseGrid	the grid, for which the system should be solved
rhs	the right hand side of the corresponding system

~OperationEllipticPDESolverSystem()

sgpp::pde::OperationEllipticPDESolverSystem::~OperationEllipticPDESolverSystem ( )

virtual

Destructor.

Member Function Documentation

generateRHS()

virtual sgpp::base::DataVector* sgpp::pde::OperationEllipticPDESolverSystem::generateRHS ( )

pure virtual

generates the right hand side of the system

Returns

returns the rhs

Implemented in sgpp::pde::OperationEllipticPDESolverSystemDirichlet, and sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries.

getNumGridPointsComplete()

size_t sgpp::pde::OperationEllipticPDESolverSystem::getNumGridPointsComplete

(

)

Returns the number of grid points for the complete grid.

Returns

the number of grid points for the complete grid

References numGridpointsComplete.

Referenced by sgpp::pde::PoissonEquationSolver::solvePDE().

getNumGridPointsInner()

size_t sgpp::pde::OperationEllipticPDESolverSystem::getNumGridPointsInner

(

)

Returns the number of grid points for the inner grid.

Returns

the number of grid points for the inner grid

References numGridpointsInner.

Referenced by sgpp::pde::PoissonEquationSolver::solvePDE().

mult()

virtual void sgpp::pde::OperationEllipticPDESolverSystem::mult ( sgpp::base::DataVector &  alpha, sgpp::base::DataVector &  result  )

pure virtual

Multiplicates a vector with the matrix \( L \).

Parameters

alpha	sgpp::base::DataVector that contains the ansatzfunctions' coefficients
result	sgpp::base::DataVector into which the result of the space discretization operation is stored

Implements sgpp::base::OperationMatrix.

Implemented in sgpp::pde::OperationEllipticPDESolverSystemDirichlet, and sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries.

Member Data Documentation

BoundGrid

sgpp::base::Grid* sgpp::pde::OperationEllipticPDESolverSystem::BoundGrid

protected

Pointer to the grid object.

Referenced by sgpp::pde::OperationEllipticPDESolverSystemDirichlet::OperationEllipticPDESolverSystemDirichlet(), and sgpp::pde::PoissonEquationEllipticPDESolverSystemDirichlet::PoissonEquationEllipticPDESolverSystemDirichlet().

numGridpointsComplete

size_t sgpp::pde::OperationEllipticPDESolverSystem::numGridpointsComplete

protected

Stores number of gridpoints, complete grid.

Referenced by getNumGridPointsComplete().

numGridpointsInner

size_t sgpp::pde::OperationEllipticPDESolverSystem::numGridpointsInner

protected

Stores number of gridpoints, inner grid.

Referenced by getNumGridPointsInner(), and sgpp::pde::OperationEllipticPDESolverSystemDirichlet::OperationEllipticPDESolverSystemDirichlet().

rhs

sgpp::base::DataVector* sgpp::pde::OperationEllipticPDESolverSystem::rhs

protected

the right hand side of the system

Referenced by sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries::generateRHS(), sgpp::pde::OperationEllipticPDESolverSystemDirichlet::generateRHS(), and sgpp::pde::OperationEllipticPDESolverSystemDirichlet::getSolutionBoundGrid().

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

• pde/src/sgpp/pde/operation/hash/OperationEllipticPDESolverSystem.hpp
• pde/src/sgpp/pde/operation/hash/OperationEllipticPDESolverSystem.cpp