sgpp::base::OperationHierarchisationPrewavelet Class Reference

Hierarchisation on sparse grid with prewavelets and no boundary. More...

#include <OperationHierarchisationPrewavelet.hpp>

Inheritance diagram for sgpp::base::OperationHierarchisationPrewavelet:

Public Member Functions
void	doDehierarchisation (DataVector &alpha) override
	Implements the dehierarchisation on a sparse grid. More...
void	doHierarchisation (DataVector &node_values) override
	Implements the hierarchisation on a sparse grid. More...
	OperationHierarchisationPrewavelet (GridStorage &storage, GridStorage &shadowStorage)
	Constructor of OperationHierarchisationPrewavelet. More...
virtual	~OperationHierarchisationPrewavelet ()
	Destructor. More...
Public Member Functions inherited from sgpp::base::OperationHierarchisation
	OperationHierarchisation ()
	Constructor. More...
virtual	~OperationHierarchisation ()
	Destructor. More...

Protected Member Functions
void	expandGrid ()
void	shrinkGrid ()

Protected Attributes
GridStorage &	shadowStorage
GridStorage &	storage
	reference to the grid's GridStorage object More...

Detailed Description

Hierarchisation on sparse grid with prewavelets and no boundary.

Please note, that there is no efficient way to directly calculate the hierarchical surpluses for the prewavelet base. But there is a fast and efficient way to transform hierarchical surpluses of the normal linear ansatzfunctions into the prewavelet base and vice versa. Thus, we use the normal hierarchisation of the linear basis and afterwards transform the resulting Vector into prewavelets (see ConvertLinearToPrewavelet.hpp). For the Dehierarchisation, this process is reversed (see ConvertPrewaveletToLinear.hpp)

Constructor & Destructor Documentation

OperationHierarchisationPrewavelet()

sgpp::base::OperationHierarchisationPrewavelet::OperationHierarchisationPrewavelet ( GridStorage &  storage, GridStorage &  shadowStorage  )

inline

Constructor of OperationHierarchisationPrewavelet.

An adaptive grid with prewavelet ansatz functions requires for operations using the up-down algorithm shadow points. These shadow points a needed just for data transport, thus they do not have an influence on the final function. Please refer to sgpp::pde::UpDownOneOpDimWithShadow for more information.

Parameters

storage	Pointer to the grid's gridstorage obejct
shadowStorage	shadow points (see detailed description)

~OperationHierarchisationPrewavelet()

virtual sgpp::base::OperationHierarchisationPrewavelet::~OperationHierarchisationPrewavelet ( )

inlinevirtual

Destructor.

References alpha, doDehierarchisation(), and doHierarchisation().

Member Function Documentation

doDehierarchisation()

void sgpp::base::OperationHierarchisationPrewavelet::doDehierarchisation ( DataVector &  alpha )

overridevirtual

Implements the dehierarchisation on a sparse grid.

Parameters

alpha

the coefficients of the sparse grid's basis functions

Implements sgpp::base::OperationHierarchisation.

References sgpp::base::HashGridStorage::getDimension(), python.statsfileInfo::i, create_scripts::s, storage, and sgpp::base::sweep< FUNC >::sweep1D().

Referenced by ~OperationHierarchisationPrewavelet().

doHierarchisation()

void sgpp::base::OperationHierarchisationPrewavelet::doHierarchisation ( DataVector &  node_values )

overridevirtual

Implements the hierarchisation on a sparse grid.

Parameters

node_values

the function's values in the nodal basis

Implements sgpp::base::OperationHierarchisation.

References sgpp::base::HashGridStorage::getDimension(), python.statsfileInfo::i, create_scripts::s, shadowStorage, storage, and sgpp::base::sweep< FUNC >::sweep1D().

Referenced by ~OperationHierarchisationPrewavelet().

expandGrid()

void sgpp::base::OperationHierarchisationPrewavelet::expandGrid ( )

protected

References sgpp::base::HashGridStorage::getPoint(), sgpp::base::HashGridStorage::getSize(), python.statsfileInfo::i, sgpp::base::HashGridStorage::insert(), sgpp::base::HashGridPoint::isLeaf(), shadowStorage, storage, and sgpp::base::HashGridPoint::toString().

shrinkGrid()

void sgpp::base::OperationHierarchisationPrewavelet::shrinkGrid ( )

protected

References sgpp::base::HashGridStorage::deleteLast(), sgpp::base::HashGridStorage::getSize(), python.statsfileInfo::i, shadowStorage, and storage.

Member Data Documentation

shadowStorage

GridStorage& sgpp::base::OperationHierarchisationPrewavelet::shadowStorage

protected

Referenced by doHierarchisation(), expandGrid(), and shrinkGrid().

storage

GridStorage& sgpp::base::OperationHierarchisationPrewavelet::storage

protected

reference to the grid's GridStorage object

Referenced by doDehierarchisation(), doHierarchisation(), expandGrid(), and shrinkGrid().

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

• base/src/sgpp/base/operation/hash/OperationHierarchisationPrewavelet.hpp
• base/src/sgpp/base/operation/hash/OperationHierarchisationPrewavelet.cpp