Implementation for B-spline functions of Laplace Operation, linear grids without boundaries. More...

#include <OperationLaplaceExplicitLinear.hpp>

Inheritance diagram for sgpp::pde::OperationLaplaceExplicitLinear:

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

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

virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	Implementation of standard matrix multiplication.

	OperationLaplaceExplicitLinear (sgpp::base::DataMatrix m, sgpp::base::GridStorage storage)
	Constructor that uses a external matrix pointer to construct the matrix, i.e.

	OperationLaplaceExplicitLinear (sgpp::base::GridStorage *storage)
	Constructor that creates an own matrix i.e.

virtual void	specialOP (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim, size_t gradient_dim)
	All calculations for gradient_dim, parallel version using OpenMP 3.

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

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

virtual	~OperationLaplaceExplicitLinear ()
	Destructor.

Public Member Functions inherited from sgpp::pde::UpDownOneOpDim
void	multParallelBuildingBlock (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t operationDim)
	This functions provides the same functionality as the normal mult routine.

	UpDownOneOpDim (sgpp::base::GridStorage *storage)
	Constructor.

	UpDownOneOpDim (sgpp::base::GridStorage *storage, sgpp::base::DataVector &coef)
	Constructor.

virtual	~UpDownOneOpDim ()
	Destructor.

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

virtual	~OperationMatrix ()
	Destructor.

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

Protected Member Functions inherited from sgpp::pde::UpDownOneOpDim
void	updown (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim, size_t op_dim)
	Recursive procedure for updown(), parallel version using OpenMP 3.

Protected Attributes inherited from sgpp::pde::UpDownOneOpDim
const std::vector< size_t >	algoDims
	algorithmic dimensions, operator is applied in this dimensions

sgpp::base::DataVector *	coefs
	Pointer to the sgpp::base::DataVector of the coefs.

const size_t	numAlgoDims_
	number of algorithmic dimensions

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

Static Protected Attributes inherited from sgpp::pde::UpDownOneOpDim
static const size_t	maxParallelDims_ = TASKS_PARALLEL_UPDOWN
	max number of parallel stages (dimension recursive calls)

Detailed Description

Implementation for B-spline functions of Laplace Operation, linear grids without boundaries.

Constructor & Destructor Documentation

◆ OperationLaplaceExplicitLinear() [1/2]

sgpp::pde::OperationLaplaceExplicitLinear::OperationLaplaceExplicitLinear	(	sgpp::base::DataMatrix *	m,
		sgpp::base::GridStorage *	storage
	)

Constructor that uses a external matrix pointer to construct the matrix, i.e.

matrix is NOT destroyed by the destructor of OperationLaplaceExplicitLinear

Parameters

m	pointer to datamatrix of size (number of grid point) x (number of grid points)
storage	pointer to the sparse grid storage

References m, and sgpp::pde::UpDownOneOpDim::storage.

◆ OperationLaplaceExplicitLinear() [2/2]

sgpp::pde::OperationLaplaceExplicitLinear::OperationLaplaceExplicitLinear ( sgpp::base::GridStorage * storage )

explicit

Constructor that creates an own matrix i.e.

matrix is destroyed by the destructor of OperationLaplaceExplicitLinear

Parameters

storage pointer to the sparse grid storage

References sgpp::base::HashGridStorage::getSize(), and sgpp::pde::UpDownOneOpDim::storage.

◆ ~OperationLaplaceExplicitLinear()

sgpp::pde::OperationLaplaceExplicitLinear::~OperationLaplaceExplicitLinear ( )

virtual

Destructor.

Member Function Documentation

◆ down()

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

virtual

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::UpDownOneOpDim.

References alpha.

◆ downOpDim()

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

virtual

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::UpDownOneOpDim.

References alpha.

Referenced by specialOP().

◆ mult()

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

virtual

Implementation of standard matrix multiplication.

Parameters

alpha	DataVector that is multiplied to the matrix
result	DataVector into which the result of multiplication is stored

Reimplemented from sgpp::pde::UpDownOneOpDim.

References alpha, sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getNrows(), sgpp::base::DataMatrix::getPointer(), and sgpp::base::DataVector::getSize().

◆ specialOP()

void sgpp::pde::OperationLaplaceExplicitLinear::specialOP	(	sgpp::base::DataVector &	alpha,
		sgpp::base::DataVector &	result,
		size_t	dim,
		size_t	op_dim
	)

virtual

All calculations for gradient_dim, parallel version using OpenMP 3.

Parameters

alpha	the coefficients of the grid points
result	the result of the operations
dim	the current dimension in the recursion
op_dim	the dimension in that a special operation is applied

Reimplemented from sgpp::pde::UpDownOneOpDim.

References alpha, downOpDim(), sgpp::base::DataVector::getSize(), and sgpp::pde::UpDownOneOpDim::updown().