This class implements the ParabolicPDESolverSystem for the Heat Equation. More...

#include <HeatEquationParabolicPDESolverSystem.hpp>

Inheritance diagram for sgpp::pde::HeatEquationParabolicPDESolverSystem:

Public Member Functions
virtual void	coarsenAndRefine (bool isLastTimestep=false)

virtual void	finishTimestep ()
	performs some action that might be needed after a timestep has be finished in the ODE Solver, e.g. More...

	HeatEquationParabolicPDESolverSystem (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &alpha, double a, double TimestepSize, std::string OperationMode="ExEul")
	Std-Constructor. More...

virtual void	startTimestep ()
	Implements some start jobs of every timestep, e.g.discounting boundaries. More...

virtual	~HeatEquationParabolicPDESolverSystem ()
	Std-Destructor. More...

Public Member Functions inherited from sgpp::pde::OperationParabolicPDESolverSystemDirichlet
virtual sgpp::base::DataVector *	generateRHS ()
	generates the right hand side of the system More...

virtual sgpp::base::DataVector *	getGridCoefficientsForCG ()
	gets a pointer to the sparse grids coefficients used in the CG method to solve one timestep. More...

virtual void	mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
	Multiplicates a vector with the matrix. More...

	OperationParabolicPDESolverSystemDirichlet ()
	Constructor. More...

virtual	~OperationParabolicPDESolverSystemDirichlet ()
	Destructor. More...

Public Member Functions inherited from sgpp::solver::OperationParabolicPDESolverSystem
void	abortTimestep ()
	aborts the current timestep execution More...

sgpp::base::Grid *	getGrid ()
	get the pointer to the underlying grid object More...

sgpp::base::DataVector *	getGridCoefficients ()
	gets a pointer to the sparse grids coefficients with evtl. More...

void	getGridCoefficientsForSC (sgpp::base::DataVector &Values)
	stores the values of the (dehierarchized) grid in the sgpp::base::DataVector Values used by time step size control methods More...

sgpp::base::GridStorage *	getGridStorage ()

std::string	getODESolver ()
	Returns the specified ODE solver for this instance. More...

sgpp::base::GridStorage *	getOldGridStorage ()

sgpp::base::GridStorage *	getSecondGridStorage ()

size_t	getSumGridPointsComplete ()
	Returns the number of average grid points for the complete grid. More...

size_t	getSumGridPointsInner ()
	Returns the number of average grid points for the inner grid. More...

	OperationParabolicPDESolverSystem ()
	Constructor. More...

void	saveAlpha ()
	stores the current alpha_complete into alpha_complete_old to be available in the next timestep More...

void	setODESolver (std::string ode)
	defines the used ODE Solver for this instance, this is important because the implementation of mult and generateRHS depends on the used ODE solver More...

void	setTimestepSize (double newTimestepSize)
	set the size of the new timestep More...

virtual	~OperationParabolicPDESolverSystem ()
	Destructor. More...

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

virtual	~OperationMatrix ()
	Destructor. More...

Additional Inherited Members
Protected Attributes inherited from sgpp::pde::OperationParabolicPDESolverSystemDirichlet
sgpp::base::DataVector *	alpha_inner
	Pointer to the alphas (ansatzfunctions' coefficients; inner points only) More...

sgpp::base::DirichletUpdateVector *	BoundaryUpdate
	Routine to modify the boundaries/inner points of the grid. More...

sgpp::base::DirichletGridConverter *	GridConverter
	Class that allows a simple conversion between a grid with and a without boundary points. More...

sgpp::base::Grid *	InnerGrid
	Pointer to the inner grid object. More...

Protected Attributes inherited from sgpp::solver::OperationParabolicPDESolverSystem
sgpp::base::DataVector *	alpha_complete
	Pointer to the alphas (ansatzfunctions' coefficients) More...

sgpp::base::DataVector *	alpha_complete_old
	Pointer to the alphas from the last timestep, needed when using variable timestep sizes. More...

sgpp::base::DataVector *	alpha_complete_tmp
	Pointer to temporary alphas, needed when using variable timestep sizes. More...

bool	bnewODESolver
	checks whether a new ODE solver has been selected after creation More...

sgpp::base::Grid *	BoundGrid
	Pointer to the grid object. More...

size_t	numSumGridpointsComplete
	Stores number of average gridpoints, complete grid. More...

size_t	numSumGridpointsInner
	Stores number of average gridpoints, inner grid. More...

sgpp::base::GridStorage *	oldGridStorage
	Pointer to the grid from the last iteration. More...

sgpp::base::DataVector *	rhs

sgpp::base::GridStorage *	secondGridStorage
	Pointer to the grid from the last aborted iteration. More...

double	TimestepSize
	the size of one timestep used in the ODE Solver More...

double	TimestepSize_old
	the size of the last timestep More...

std::string	tOperationMode
	specifies in which solver this matrix is used, valid values are: ExEul for explicit Euler ImEul for implicit Euler CrNic for Crank Nicolson solver More...

Detailed Description

This class implements the ParabolicPDESolverSystem for the Heat Equation.

Constructor & Destructor Documentation

◆ HeatEquationParabolicPDESolverSystem()

sgpp::pde::HeatEquationParabolicPDESolverSystem::HeatEquationParabolicPDESolverSystem	(	sgpp::base::Grid &	SparseGrid,
		sgpp::base::DataVector &	alpha,
		double	a,
		double	TimestepSize,
		std::string	OperationMode = `"ExEul"`
	)

Std-Constructor.

Parameters

SparseGrid	reference to the sparse grid
alpha	the sparse grid's coefficients
a	the heat coefficient
TimestepSize	the size of one timestep used in the ODE Solver
OperationMode	specifies in which solver this matrix is used, valid values are: ExEul for explicit Euler, ImEul for implicit Euler, CrNic for Crank Nicolson solver