Nektar::MultiRegions::GlobalLinSysPETScFull Class Reference

A global linear system. More...

#include <GlobalLinSysPETScFull.h>

Inheritance diagram for Nektar::MultiRegions::GlobalLinSysPETScFull:

Collaboration diagram for Nektar::MultiRegions::GlobalLinSysPETScFull:

Public Member Functions
	GlobalLinSysPETScFull (const GlobalLinSysKey &pLinSysKey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
	Constructor for full direct matrix solve. More...
virtual	~GlobalLinSysPETScFull ()
Public Member Functions inherited from Nektar::MultiRegions::GlobalLinSysPETSc
	GlobalLinSysPETSc (const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExp, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
	Constructor for full direct matrix solve. More...
virtual	~GlobalLinSysPETSc ()
	Clean up PETSc objects. More...
virtual void	v_SolveLinearSystem (const int pNumRows, const Array< OneD, const NekDouble > &pInput, Array< OneD, NekDouble > &pOutput, const AssemblyMapSharedPtr &locToGloMap, const int pNumDir)
	Solve linear system using PETSc. More...
Public Member Functions inherited from Nektar::MultiRegions::GlobalLinSys
	GlobalLinSys (const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
	Constructor for full direct matrix solve. More...
virtual	~GlobalLinSys ()
const GlobalLinSysKey &	GetKey (void) const
	Returns the key associated with the system. More...
const boost::weak_ptr< ExpList > &	GetLocMat (void) const
void	InitObject ()
void	Initialise (const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
void	Solve (const Array< OneD, const NekDouble > &in, Array< OneD, NekDouble > &out, const AssemblyMapSharedPtr &locToGloMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve the linear system for given input and output vectors using a specified local to global map. More...
boost::shared_ptr< GlobalLinSys >	GetSharedThisPtr ()
	Returns a shared pointer to the current object. More...
int	GetNumBlocks ()
DNekScalMatSharedPtr	GetBlock (unsigned int n)
DNekScalBlkMatSharedPtr	GetStaticCondBlock (unsigned int n)
void	DropStaticCondBlock (unsigned int n)
void	SolveLinearSystem (const int pNumRows, const Array< OneD, const NekDouble > &pInput, Array< OneD, NekDouble > &pOutput, const AssemblyMapSharedPtr &locToGloMap, const int pNumDir=0)
	Solve the linear system for given input and output vectors. More...

Static Public Member Functions
static GlobalLinSysSharedPtr	create (const GlobalLinSysKey &pLinSysKey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
	Creates an instance of this class. More...

Static Public Attributes
static std::string	className
	Name of class. More...

Private Member Functions
virtual void	v_Solve (const Array< OneD, const NekDouble > &in, Array< OneD, NekDouble > &out, const AssemblyMapSharedPtr &locToGloMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve the linear system for given input and output vectors using a specified local to global map. More...
virtual void	v_DoMatrixMultiply (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output)
	Apply matrix-vector multiplication using local approach and the assembly map. More...

Additional Inherited Members
Protected Member Functions inherited from Nektar::MultiRegions::GlobalLinSysPETSc
void	SetUpScatter ()
	Set up PETSc local (equivalent to Nektar++ global) and global (equivalent to universal) scatter maps. More...
void	SetUpMatVec (int nGlobal, int nDir)
	Construct PETSc matrix and vector handles. More...
void	SetUpSolver (NekDouble tolerance)
	Set up KSP solver object. More...
void	CalculateReordering (const Array< OneD, const int > &glo2uniMap, const Array< OneD, const int > &glo2unique, const AssemblyMapSharedPtr &pLocToGloMap)
	Calculate a reordering of universal IDs for PETSc. More...
Protected Member Functions inherited from Nektar::MultiRegions::GlobalLinSys
virtual int	v_GetNumBlocks ()
	Get the number of blocks in this system. More...
virtual DNekScalMatSharedPtr	v_GetBlock (unsigned int n)
	Retrieves the block matrix from n-th expansion using the matrix key provided by the m_linSysKey. More...
virtual DNekScalBlkMatSharedPtr	v_GetStaticCondBlock (unsigned int n)
	Retrieves a the static condensation block matrices from n-th expansion using the matrix key provided by the m_linSysKey. More...
virtual void	v_DropStaticCondBlock (unsigned int n)
	Releases the static condensation block matrices from NekManager of n-th expansion using the matrix key provided by the m_linSysKey. More...
PreconditionerSharedPtr	CreatePrecon (AssemblyMapSharedPtr asmMap)
	Create a preconditioner object from the parameters defined in the supplied assembly map. More...
Protected Attributes inherited from Nektar::MultiRegions::GlobalLinSysPETSc
Mat	m_matrix
	PETSc matrix object. More...
Vec	m_x
	PETSc vector objects used for local storage. More...
Vec	m_b
Vec	m_locVec
KSP	m_ksp
	KSP object that represents solver system. More...
PC	m_pc
	PCShell for preconditioner. More...
PETScMatMult	m_matMult
	Enumerator to select matrix multiplication type. More...
vector< int >	m_reorderedMap
	Reordering that takes universal IDs to a unique row in the PETSc matrix. More...
VecScatter	m_ctx
	PETSc scatter context that takes us between Nektar++ global ordering and PETSc vector ordering. More...
int	m_nLocal
	Number of unique degrees of freedom on this process. More...
PreconditionerSharedPtr	m_precon
Protected Attributes inherited from Nektar::MultiRegions::GlobalLinSys
const GlobalLinSysKey	m_linSysKey
	Key associated with this linear system. More...
const boost::weak_ptr< ExpList >	m_expList
	Local Matrix System. More...
const map< int, RobinBCInfoSharedPtr >	m_robinBCInfo
	Robin boundary info. More...

Detailed Description

A global linear system.

Definition at line 53 of file GlobalLinSysPETScFull.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::GlobalLinSysPETScFull::GlobalLinSysPETScFull	(	const GlobalLinSysKey &	pLinSysKey,
		const boost::weak_ptr< ExpList > &	pExpList,
		const boost::shared_ptr< AssemblyMap > &	pLocToGloMap
	)

Constructor for full direct matrix solve.

Definition at line 61 of file GlobalLinSysPETScFull.cpp.

References Nektar::MultiRegions::GlobalLinSysPETSc::CalculateReordering(), Nektar::MultiRegions::GlobalLinSys::GetBlock(), Nektar::MultiRegions::GlobalLinSys::m_expList, Nektar::MultiRegions::GlobalLinSysPETSc::m_matrix, Nektar::MultiRegions::GlobalLinSysPETSc::m_reorderedMap, Nektar::MultiRegions::GlobalLinSysPETSc::SetUpMatVec(), Nektar::MultiRegions::GlobalLinSysPETSc::SetUpScatter(), and Nektar::MultiRegions::GlobalLinSysPETSc::SetUpSolver().

            : GlobalLinSys     (pLinSysKey, pExp, pLocToGloMap),
              GlobalLinSysPETSc(pLinSysKey, pExp, pLocToGloMap)
        {
            const int nDirDofs = pLocToGloMap->GetNumGlobalDirBndCoeffs();

            int i, j, n, cnt, gid1, gid2, loc_lda;
            NekDouble sign1, sign2, value;
            DNekScalMatSharedPtr loc_mat;

            // CALCULATE REORDERING MAPPING
            CalculateReordering(pLocToGloMap->GetGlobalToUniversalMap(),
                                pLocToGloMap->GetGlobalToUniversalMapUnique(),
                                pLocToGloMap);

            // SET UP VECTORS AND MATRIX
            SetUpMatVec(pLocToGloMap->GetNumGlobalCoeffs(), nDirDofs);

            // SET UP SCATTER OBJECTS
            SetUpScatter();

            // CONSTRUCT KSP OBJECT
            SetUpSolver(pLocToGloMap->GetIterativeTolerance());

            // POPULATE MATRIX
            for(n = cnt = 0; n < m_expList.lock()->GetNumElmts(); ++n)
            {
                loc_mat = GetBlock(m_expList.lock()->GetOffset_Elmt_Id(n));
                loc_lda = loc_mat->GetRows();

                for(i = 0; i < loc_lda; ++i)
                {
                    gid1 = pLocToGloMap->GetLocalToGlobalMap(cnt+i) - nDirDofs;
                    sign1 = pLocToGloMap->GetLocalToGlobalSign(cnt + i);
                    if(gid1 >= 0)
                    {
                        int gid1ro = m_reorderedMap[gid1];
                        for(j = 0; j < loc_lda; ++j)
                        {
                            gid2 = pLocToGloMap->GetLocalToGlobalMap(cnt + j)
                                                                     - nDirDofs;
                            sign2 = pLocToGloMap->GetLocalToGlobalSign(cnt + j);
                            if(gid2 >= 0)
                            {
                                int gid2ro = m_reorderedMap[gid2];
                                value = sign1*sign2*(*loc_mat)(i,j);
                                MatSetValue(
                                    m_matrix, gid1ro, gid2ro, value, ADD_VALUES);
                            }
                        }
                    }
                }
                cnt += loc_lda;
            }

            // ASSEMBLE MATRIX
            MatAssemblyBegin(m_matrix, MAT_FINAL_ASSEMBLY);
            MatAssemblyEnd  (m_matrix, MAT_FINAL_ASSEMBLY);
        }

Nektar::MultiRegions::GlobalLinSysPETScFull::~GlobalLinSysPETScFull ( )

virtual

Definition at line 125 of file GlobalLinSysPETScFull.cpp.

        {

        }

Member Function Documentation

static GlobalLinSysSharedPtr Nektar::MultiRegions::GlobalLinSysPETScFull::create ( const GlobalLinSysKey &  pLinSysKey, const boost::weak_ptr< ExpList > &  pExpList, const boost::shared_ptr< AssemblyMap > &  pLocToGloMap  )

inlinestatic

Creates an instance of this class.

Definition at line 58 of file GlobalLinSysPETScFull.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

            {
                return MemoryManager<GlobalLinSysPETScFull>
                    ::AllocateSharedPtr(pLinSysKey, pExpList, pLocToGloMap);
            }

void Nektar::MultiRegions::GlobalLinSysPETScFull::v_DoMatrixMultiply ( const Array< OneD, const NekDouble > &  input, Array< OneD, NekDouble > &  output  )

privatevirtual

Apply matrix-vector multiplication using local approach and the assembly map.

Parameters

input	Vector input.
output	Result of multiplication.

Implements Nektar::MultiRegions::GlobalLinSysPETSc.

Definition at line 190 of file GlobalLinSysPETScFull.cpp.

References Nektar::MultiRegions::eGlobal, Nektar::MultiRegions::GlobalLinSys::m_expList, and Nektar::MultiRegions::GlobalLinSys::m_linSysKey.

        {
            boost::shared_ptr<MultiRegions::ExpList> expList = m_expList.lock();

            // Perform matrix-vector operation A*d_i
            expList->GeneralMatrixOp(
                m_linSysKey, input, output, eGlobal);
        }

void Nektar::MultiRegions::GlobalLinSysPETScFull::v_Solve ( const Array< OneD, const NekDouble > &  pInput, Array< OneD, NekDouble > &  pOutput, const AssemblyMapSharedPtr &  pLocToGloMap, const Array< OneD, const NekDouble > &  pDirForcing = NullNekDouble1DArray  )

privatevirtual

Solve the linear system for given input and output vectors using a specified local to global map.

Solve the linear system using a full global matrix system.

Implements Nektar::MultiRegions::GlobalLinSys.

Definition at line 134 of file GlobalLinSysPETScFull.cpp.

References Nektar::MultiRegions::eGlobal, Nektar::MultiRegions::GlobalLinSys::m_expList, Nektar::MultiRegions::GlobalLinSys::m_linSysKey, Nektar::LibUtilities::ReduceSum, Nektar::MultiRegions::GlobalLinSys::SolveLinearSystem(), Vmath::Vadd(), and Vmath::Vsub().

        {
            bool dirForcCalculated = (bool) pDirForcing.num_elements();
            int nDirDofs  = pLocToGloMap->GetNumGlobalDirBndCoeffs();
            int nGlobDofs = pLocToGloMap->GetNumGlobalCoeffs();
            Array<OneD, NekDouble> tmp(nGlobDofs), tmp2;

            int nDirTotal = nDirDofs;
            m_expList.lock()->GetComm()->GetRowComm()->AllReduce(
                nDirTotal, LibUtilities::ReduceSum);
            
            if(nDirTotal)
            {
                // calculate the dirichlet forcing
                if(dirForcCalculated)
                {
                    Vmath::Vsub(nGlobDofs,
                                pInput.get(),      1,
                                pDirForcing.get(), 1,
                                tmp.get(),         1);
                }
                else
                {
                    // Calculate the dirichlet forcing and substract it
                    // from the rhs
                    m_expList.lock()->GeneralMatrixOp(
                        m_linSysKey, pOutput, tmp, eGlobal);

                    Vmath::Vsub(nGlobDofs, 
                                pInput.get(), 1,
                                tmp.get(),    1,
                                tmp.get(),    1);
                }

                Array<OneD, NekDouble> out(nGlobDofs,0.0);
                SolveLinearSystem(nGlobDofs, tmp, out, pLocToGloMap, nDirDofs);
                Vmath::Vadd(nGlobDofs-nDirDofs,    &out    [nDirDofs], 1,
                            &pOutput[nDirDofs], 1, &pOutput[nDirDofs], 1);
            }
            else
            {
                SolveLinearSystem(nDirDofs, pInput, pOutput, pLocToGloMap);
            }
        }

Member Data Documentation

string Nektar::MultiRegions::GlobalLinSysPETScFull::className

static

Initial value:

= GetGlobalLinSysFactory().RegisterCreatorFunction(
                    "PETScFull",
                    GlobalLinSysPETScFull::create,
                    "PETSc Full Matrix.")

Name of class.

Registers the class with the Factory.

Definition at line 68 of file GlobalLinSysPETScFull.h.