sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries Class Reference

Defines a System that is used to solve elliptic partial differential equations. More...

#include <OperationEllipticPDESolverSystemFreeBoundaries.hpp>

Inheritance diagram for sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries:

Public Member Functions
virtual sgpp::base::DataVector *	generateRHS ()
	generates the right hand side of the system More...
virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	Multiplicates a vector with the matrix \( L \). More...
	OperationEllipticPDESolverSystemFreeBoundaries (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &rhs)
	Constructor. More...
virtual	~OperationEllipticPDESolverSystemFreeBoundaries ()
	Destructor. More...
Public Member Functions inherited from sgpp::pde::OperationEllipticPDESolverSystem
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...
	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 Member Functions
virtual void	applyLOperator (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)=0
	applies the PDE's system matrix, on complete grid - with boundaries More...

Additional Inherited Members
Protected Attributes inherited from sgpp::pde::OperationEllipticPDESolverSystem
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

Defines 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, here degrees of freedom exists on the boundaries!

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

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

Constructor & Destructor Documentation

OperationEllipticPDESolverSystemFreeBoundaries()

sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries::OperationEllipticPDESolverSystemFreeBoundaries	(	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

~OperationEllipticPDESolverSystemFreeBoundaries()

sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries::~OperationEllipticPDESolverSystemFreeBoundaries ( )

virtual

Destructor.

Member Function Documentation

applyLOperator()

virtual void sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries::applyLOperator ( sgpp::base::DataVector &  alpha, sgpp::base::DataVector &  result  )

protectedpure virtual

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

Referenced by mult().

generateRHS()

sgpp::base::DataVector * sgpp::pde::OperationEllipticPDESolverSystemFreeBoundaries::generateRHS ( )

virtual

generates the right hand side of the system

Returns

returns the rhs

Implements sgpp::pde::OperationEllipticPDESolverSystem.

References sgpp::pde::OperationEllipticPDESolverSystem::rhs.

mult()

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

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::pde::OperationEllipticPDESolverSystem.

References applyLOperator().

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

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