asl::TimeContinPLagrangeFraction Class Reference

Numerical method that generates temporal extrapolation of the data with Lagrangian polynoms of fractional argument. More...

#include <aslTimeContinuations.h>

Inheritance diagram for asl::TimeContinPLagrangeFraction:

Collaboration diagram for asl::TimeContinPLagrangeFraction:

Public Types
typedef SPDataWithGhostNodesACLData	Data
typedef SPAbstractDataWithGhostNodes	Field
typedef SPDataWithGhostNodesACLData	Data
typedef SPAbstractDataWithGhostNodes	Field
Public Types inherited from asl::TimeContinuations
typedef SPDataWithGhostNodesACLData	Data
typedef SPDataWithGhostNodesACLData	Data

Public Member Functions
	TimeContinPLagrangeFraction (Data inD, double f, unsigned int order)
	TimeContinPLagrangeFraction (acl::VectorOfElementsData &inD, double f, unsigned int order)
void	execute ()
	Executes the numerical procedure.
virtual void	init ()
	Builds the necesery internal data and kernels.
	TimeContinPLagrangeFraction (Data inD, double f, unsigned int order)
	TimeContinPLagrangeFraction (acl::VectorOfElementsData &inD, double f, unsigned int order)
void	execute ()
	Executes the numerical procedure.
virtual void	init ()
	Builds the necesery internal data and kernels.
Public Member Functions inherited from asl::TimeContinuations
void	addData (Data inD)
void	addData (acl::VectorOfElementsData &inD)
void	reset ()
	makes reset of the contiuation (storage) cicle
void	addData (Data inD)
void	addData (acl::VectorOfElementsData &inD)
void	reset ()
	makes reset of the contiuation (storage) cicle
Public Member Functions inherited from asl::NumMethod
virtual	~NumMethod ()
virtual	~NumMethod ()

Additional Inherited Members
Protected Member Functions inherited from asl::TimeContinuations
	TimeContinuations (Data inD, double factor)
	TimeContinuations (acl::VectorOfElementsData &inD, double factor)
	TimeContinuations (Data inD, double factor)
	TimeContinuations (acl::VectorOfElementsData &inD, double factor)
Protected Attributes inherited from asl::TimeContinuations
acl::VectorOfElementsData	inData
double	factor
unsigned int	nStorages

Detailed Description

Numerical method that generates temporal extrapolation of the data with Lagrangian polynoms of fractional argument.

The method computes Lagrange polinomial extrapolation of order \(k\) in time. The time is taken in the form \( (t+t_s)^{-1}\). factor
defines extrapolation length. \( t_s\) is defined as:

\[ t_s = 2 k+ factor \]

The interpolation polinoms are nothing else but the Lagrange one with \( x \) defined as \( x=(t+t_s)^{-1} \)

\[ u(t+dt*factor) = \sum_{i=0}^n y_i l_i \]

where

\[ l_i(x) = \prod_{j=0, j\neq i}^k \frac{x-x_j}{x_i-x_j}\]

The first avalible point has \( t_0 = -k$. The last avalible point has \) t_k = 0$.

Definition at line 114 of file aslTimeContinuations.h.

Member Typedef Documentation

Data [1/2]

typedef SPDataWithGhostNodesACLData asl::TimeContinPLagrangeFraction::Data

Definition at line 117 of file aslTimeContinuations.h.

Data [2/2]

typedef SPDataWithGhostNodesACLData asl::TimeContinPLagrangeFraction::Data

Definition at line 117 of file aslTimeContinuations.h.

Field [1/2]

typedef SPAbstractDataWithGhostNodes asl::TimeContinPLagrangeFraction::Field

Definition at line 118 of file aslTimeContinuations.h.

Field [2/2]

typedef SPAbstractDataWithGhostNodes asl::TimeContinPLagrangeFraction::Field

Definition at line 118 of file aslTimeContinuations.h.

Constructor & Destructor Documentation

TimeContinPLagrangeFraction() [1/4]

asl::TimeContinPLagrangeFraction::TimeContinPLagrangeFraction	(	Data	inD,
		double	f,
		unsigned int	order )

TimeContinPLagrangeFraction() [2/4]

asl::TimeContinPLagrangeFraction::TimeContinPLagrangeFraction	(	acl::VectorOfElementsData &	inD,
		double	f,
		unsigned int	order )

TimeContinPLagrangeFraction() [3/4]

asl::TimeContinPLagrangeFraction::TimeContinPLagrangeFraction	(	Data	inD,
		double	f,
		unsigned int	order )

TimeContinPLagrangeFraction() [4/4]

asl::TimeContinPLagrangeFraction::TimeContinPLagrangeFraction	(	acl::VectorOfElementsData &	inD,
		double	f,
		unsigned int	order )

Member Function Documentation

execute() [1/2]

void asl::TimeContinPLagrangeFraction::execute ( )

virtual

Executes the numerical procedure.

Implements asl::TimeContinuations.

execute() [2/2]

void asl::TimeContinPLagrangeFraction::execute ( )

virtual

Executes the numerical procedure.

Implements asl::TimeContinuations.

init() [1/2]

virtual void asl::TimeContinPLagrangeFraction::init ( )

virtual

Builds the necesery internal data and kernels.

Implements asl::TimeContinuations.

init() [2/2]

virtual void asl::TimeContinPLagrangeFraction::init ( )

virtual

Builds the necesery internal data and kernels.

Implements asl::TimeContinuations.

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

• /build/asl-FBaFQT/asl-0.1.7/debian/tmp/usr/include/ASL/num/aslTimeContinuations.h
• /build/asl-FBaFQT/asl-0.1.7/src/num/aslTimeContinuations.h