Implementation for linear functions of Laplace Operation, prewavelet grids without boundaries. More...

#include <OperationLaplacePrewavelet.hpp>

Inheritance diagram for sgpp::pde::OperationLaplacePrewavelet:

Public Member Functions
	OperationLaplacePrewavelet (sgpp::base::GridStorage storage, sgpp::base::GridStorage shadowstorage)
	Constructor of OperationLaplacePrewavelet. More...

virtual	~OperationLaplacePrewavelet ()
	Destructor. More...

Public Member Functions inherited from sgpp::pde::UpDownOneOpDimWithShadow
virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	starts the Multiplication with the matrix More...

	UpDownOneOpDimWithShadow (sgpp::base::GridStorage storage, sgpp::base::GridStorage shadowStorage)
	Constructor. More...

virtual	~UpDownOneOpDimWithShadow ()
	Destructor. More...

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

virtual	~OperationMatrix ()
	Destructor. More...

Protected Member Functions
virtual void	down (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim)
	std 1D down operation More...

virtual void	downOpDim (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim)
	special 1D down operation that is only executed in one direction More...

virtual void	up (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim)
	std 1D up operation More...

virtual void	upOpDim (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim)
	special 1D up operation that is only executed in one direction More...

Protected Member Functions inherited from sgpp::pde::UpDownOneOpDimWithShadow
void	expandGrid ()
	This functions adds all grid points of the shadow storage into the actual grid. More...

void	shrinkGrid ()
	Removes the previously added shadow grid points from the actual grid. More...

virtual void	specialOP (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim, size_t op_dim)
	All calculations for op_dim. More...

void	updown (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim, size_t op_dim)
	Recursive procedure for updown(). More...

Additional Inherited Members
Protected Types inherited from sgpp::pde::UpDownOneOpDimWithShadow
typedef sgpp::base::GridStorage::grid_iterator	grid_iterator

Protected Attributes inherited from sgpp::pde::UpDownOneOpDimWithShadow
sgpp::base::GridStorage *	shadowStorage

sgpp::base::GridStorage *	storage
	Pointer to the grid's storage object. More...

Detailed Description

Implementation for linear functions of Laplace Operation, prewavelet grids without boundaries.

With prewavelets the calculation of the gradient part of the up down algorithm is the more complicated one whereas the normal part is eased. For details on the implementation please refer to the documentation of the detail-classes LaplaceDownGradientPrewavelet.hpp, LaplaceUpGradientPrewavelet.hpp and LaplaceDownPrewavelet.hpp.

Constructor & Destructor Documentation

◆ OperationLaplacePrewavelet()

sgpp::pde::OperationLaplacePrewavelet::OperationLaplacePrewavelet	(	sgpp::base::GridStorage *	storage,
		sgpp::base::GridStorage *	shadowstorage
	)

Constructor of OperationLaplacePrewavelet.

Parameters

storage	Pointer to the grid's gridstorage obejct
shadowstorage	shadow storage fuer prewavelets

◆ ~OperationLaplacePrewavelet()

sgpp::pde::OperationLaplacePrewavelet::~OperationLaplacePrewavelet ( )

virtual

Destructor.

Member Function Documentation

◆ down()

void sgpp::pde::OperationLaplacePrewavelet::down	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result,
		size_t	dim
	)

protectedvirtual

std 1D down operation

Parameters

dim	dimension in which to apply the down-part
alpha	vector of coefficients
result	vector to store the results in

Implements sgpp::pde::UpDownOneOpDimWithShadow.

◆ downOpDim()

void sgpp::pde::OperationLaplacePrewavelet::downOpDim	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result,
		size_t	dim
	)

protectedvirtual

special 1D down operation that is only executed in one direction

Parameters

alpha	the coefficients of the gridpoints
result	vector with the result of this operation
dim	the dimension in that down-Gradient is applied

Implements sgpp::pde::UpDownOneOpDimWithShadow.

References create_scripts::s, sgpp::pde::UpDownOneOpDimWithShadow::storage, and sgpp::base::sweep< FUNC >::sweep1D().

◆ up()

void sgpp::pde::OperationLaplacePrewavelet::up	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result,
		size_t	dim
	)

protectedvirtual

std 1D up operation

Parameters

dim	dimension in which to apply the up-part
alpha	vector of coefficients
result	vector to store the results in

Implements sgpp::pde::UpDownOneOpDimWithShadow.

References create_scripts::s, sgpp::pde::UpDownOneOpDimWithShadow::storage, and sgpp::base::sweep< FUNC >::sweep1D().

◆ upOpDim()

void sgpp::pde::OperationLaplacePrewavelet::upOpDim	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result,
		size_t	dim
	)

protectedvirtual

special 1D up operation that is only executed in one direction

Parameters

alpha	the coefficients of the gridpoints
result	vector with the result of this operation
dim	the dimension in that up-Gradient is applied

Implements sgpp::pde::UpDownOneOpDimWithShadow.

References create_scripts::s, sgpp::pde::UpDownOneOpDimWithShadow::storage, and sgpp::base::sweep< FUNC >::sweep1D().

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

pde/src/sgpp/pde/operation/hash/OperationLaplacePrewavelet.hpp
pde/src/sgpp/pde/operation/hash/OperationLaplacePrewavelet.cpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ OperationLaplacePrewavelet()

◆ ~OperationLaplacePrewavelet()

Member Function Documentation

◆ down()

◆ downOpDim()

◆ up()

◆ upOpDim()