SG++
sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP Class Reference

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

#include <HeatEquationParabolicPDESolverSystemParallelOMP.hpp>

Inheritance diagram for sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP:
sgpp::pde::OperationParabolicPDESolverSystemDirichlet sgpp::solver::OperationParabolicPDESolverSystem sgpp::base::OperationMatrix

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...
 
virtual sgpp::base::DataVectorgenerateRHS ()
 generates the right hand side of the system More...
 
 HeatEquationParabolicPDESolverSystemParallelOMP (sgpp::base::Grid &SparseGrid, sgpp::base::DataVector &alpha, double a, double TimestepSize, std::string OperationMode="ExEul")
 Std-Constructor. More...
 
virtual void mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
 Multiplicates a vector with the matrix. More...
 
virtual void startTimestep ()
 Implements some start jobs of every timestep, e.g.discounting boundaries. More...
 
virtual ~HeatEquationParabolicPDESolverSystemParallelOMP ()
 Std-Destructor. More...
 
- Public Member Functions inherited from sgpp::pde::OperationParabolicPDESolverSystemDirichlet
virtual sgpp::base::DataVectorgetGridCoefficientsForCG ()
 gets a pointer to the sparse grids coefficients used in the CG method to solve one timestep. 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::GridgetGrid ()
 get the pointer to the underlying grid object More...
 
sgpp::base::DataVectorgetGridCoefficients ()
 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::GridStoragegetGridStorage ()
 
std::string getODESolver ()
 Returns the specified ODE solver for this instance. More...
 
sgpp::base::GridStoragegetOldGridStorage ()
 
sgpp::base::GridStoragegetSecondGridStorage ()
 
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...
 

Protected Member Functions

void applyLOperatorComplete (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
 applies the PDE's system matrix, on complete grid - with boundaries More...
 
void applyLOperatorInner (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
 applies the PDE's system matrix, on inner grid only More...
 
void applyMassMatrixComplete (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
 applies the PDE's mass matrix, on complete grid - with boundaries More...
 
void applyMassMatrixInner (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result)
 applies the PDE's mass matrix, on inner grid only More...
 

Protected Attributes

double a
 the heat coefficient More...
 
sgpp::base::OperationMatrixOpLaplaceBound
 the Laplace Operation (Stiffness Matrix), on boundary grid More...
 
sgpp::base::OperationMatrixOpLaplaceInner
 the Laplace Operation (Stiffness Matrix), on inner grid More...
 
sgpp::base::OperationMatrixOpMassBound
 the LTwoDotProduct Operation (Mass Matrix), on boundary grid More...
 
sgpp::base::OperationMatrixOpMassInner
 the LTwoDotProduct Operation (Mass Matrix), on inner grid More...
 
- Protected Attributes inherited from sgpp::pde::OperationParabolicPDESolverSystemDirichlet
sgpp::base::DataVectoralpha_inner
 Pointer to the alphas (ansatzfunctions' coefficients; inner points only) More...
 
sgpp::base::DirichletUpdateVectorBoundaryUpdate
 Routine to modify the boundaries/inner points of the grid. More...
 
sgpp::base::DirichletGridConverterGridConverter
 Class that allows a simple conversion between a grid with and a without boundary points. More...
 
sgpp::base::GridInnerGrid
 Pointer to the inner grid object. More...
 
- Protected Attributes inherited from sgpp::solver::OperationParabolicPDESolverSystem
sgpp::base::DataVectoralpha_complete
 Pointer to the alphas (ansatzfunctions' coefficients) More...
 
sgpp::base::DataVectoralpha_complete_old
 Pointer to the alphas from the last timestep, needed when using variable timestep sizes. More...
 
sgpp::base::DataVectoralpha_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::GridBoundGrid
 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::GridStorageoldGridStorage
 Pointer to the grid from the last iteration. More...
 
sgpp::base::DataVectorrhs
 
sgpp::base::GridStoragesecondGridStorage
 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

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

Member Function Documentation

void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::applyLOperatorComplete ( sgpp::base::DataVector alpha,
sgpp::base::DataVector result 
)
protectedvirtual

applies the PDE's system matrix, on complete grid - with boundaries

Parameters
alphathe coefficients of the sparse grid's ansatzfunctions
resultreference to the sgpp::base::DataVector into which the result is written

discuss methods in order to avoid this cast

Implements sgpp::pde::OperationParabolicPDESolverSystemDirichlet.

References a, sgpp::base::DataVector::axpy(), sgpp::base::HashGridStorage::getAlgorithmicDimensions(), sgpp::base::DataVector::getSize(), sgpp::base::Grid::getStorage(), sgpp::pde::OperationParabolicPDESolverSystemDirichlet::InnerGrid, OpLaplaceBound, and sgpp::base::DataVector::setAll().

Referenced by generateRHS().

void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::applyLOperatorInner ( sgpp::base::DataVector alpha,
sgpp::base::DataVector result 
)
protectedvirtual

applies the PDE's system matrix, on inner grid only

Parameters
alphathe coefficients of the sparse grid's ansatzfunctions
resultreference to the sgpp::base::DataVector into which the result is written

discuss methods in order to avoid this cast

Implements sgpp::pde::OperationParabolicPDESolverSystemDirichlet.

References a, sgpp::base::DataVector::axpy(), sgpp::base::HashGridStorage::getAlgorithmicDimensions(), sgpp::base::DataVector::getSize(), sgpp::base::Grid::getStorage(), sgpp::pde::OperationParabolicPDESolverSystemDirichlet::InnerGrid, OpLaplaceInner, and sgpp::base::DataVector::setAll().

Referenced by mult().

void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::applyMassMatrixComplete ( sgpp::base::DataVector alpha,
sgpp::base::DataVector result 
)
protectedvirtual

applies the PDE's mass matrix, on complete grid - with boundaries

Parameters
alphathe coefficients of the sparse grid's ansatzfunctions
resultreference to the sgpp::base::DataVector into which the result is written

Implements sgpp::pde::OperationParabolicPDESolverSystemDirichlet.

References sgpp::base::DataVector::add(), sgpp::base::DataVector::getSize(), OpMassBound, and sgpp::base::DataVector::setAll().

Referenced by generateRHS().

void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::applyMassMatrixInner ( sgpp::base::DataVector alpha,
sgpp::base::DataVector result 
)
protectedvirtual

applies the PDE's mass matrix, on inner grid only

Parameters
alphathe coefficients of the sparse grid's ansatzfunctions
resultreference to the sgpp::base::DataVector into which the result is written

Implements sgpp::pde::OperationParabolicPDESolverSystemDirichlet.

References sgpp::base::DataVector::add(), sgpp::base::DataVector::getSize(), OpMassInner, and sgpp::base::DataVector::setAll().

Referenced by mult().

void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::coarsenAndRefine ( bool  isLastTimestep = false)
virtual
void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::finishTimestep ( )
virtual
void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::mult ( sgpp::base::DataVector alpha,
sgpp::base::DataVector result 
)
virtual
void sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::startTimestep ( )
virtual

Implements some start jobs of every timestep, e.g.discounting boundaries.

Implements sgpp::solver::OperationParabolicPDESolverSystem.

Referenced by generateRHS().

Member Data Documentation

double sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::a
protected
sgpp::base::OperationMatrix* sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::OpLaplaceBound
protected

the Laplace Operation (Stiffness Matrix), on boundary grid

Referenced by applyLOperatorComplete(), HeatEquationParabolicPDESolverSystemParallelOMP(), and ~HeatEquationParabolicPDESolverSystemParallelOMP().

sgpp::base::OperationMatrix* sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::OpLaplaceInner
protected

the Laplace Operation (Stiffness Matrix), on inner grid

Referenced by applyLOperatorInner(), HeatEquationParabolicPDESolverSystemParallelOMP(), and ~HeatEquationParabolicPDESolverSystemParallelOMP().

sgpp::base::OperationMatrix* sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::OpMassBound
protected

the LTwoDotProduct Operation (Mass Matrix), on boundary grid

Referenced by applyMassMatrixComplete(), HeatEquationParabolicPDESolverSystemParallelOMP(), and ~HeatEquationParabolicPDESolverSystemParallelOMP().

sgpp::base::OperationMatrix* sgpp::pde::HeatEquationParabolicPDESolverSystemParallelOMP::OpMassInner
protected

the LTwoDotProduct Operation (Mass Matrix), on inner grid

Referenced by applyMassMatrixInner(), HeatEquationParabolicPDESolverSystemParallelOMP(), and ~HeatEquationParabolicPDESolverSystemParallelOMP().


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