#include <PreconditionerDiagonal.h>

Inheritance diagram for Nektar::MultiRegions::PreconditionerDiagonal:

Collaboration diagram for Nektar::MultiRegions::PreconditionerDiagonal:

Public Member Functions
	PreconditionerDiagonal (const boost::shared_ptr< GlobalLinSys > &plinsys, const AssemblyMapSharedPtr &pLocToGloMap)

virtual	~PreconditionerDiagonal ()

Public Member Functions inherited from Nektar::MultiRegions::Preconditioner
	Preconditioner (const boost::shared_ptr< GlobalLinSys > &plinsys, const AssemblyMapSharedPtr &pLocToGloMap)

virtual	~Preconditioner ()

void	DoPreconditioner (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)

void	DoPreconditionerWithNonVertOutput (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput, const Array< OneD, NekDouble > &pNonVertOutput, Array< OneD, NekDouble > &pVertForce=NullNekDouble1DArray)

void	DoTransformToLowEnergy (Array< OneD, NekDouble > &pInOut, int offset)

void	DoTransformToLowEnergy (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)

void	DoTransformFromLowEnergy (Array< OneD, NekDouble > &pInOut)

void	DoMultiplybyInverseTransformationMatrix (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)

void	DoMultiplybyInverseTransposedTransformationMatrix (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)

void	BuildPreconditioner ()

void	InitObject ()

Array< OneD, NekDouble >	AssembleStaticCondGlobalDiagonals ()
	Performs global assembly of diagonal entries to global Schur complement matrix. More...

const DNekScalBlkMatSharedPtr &	GetBlockTransformedSchurCompl () const

const DNekScalBlkMatSharedPtr &	GetBlockCMatrix () const

const DNekScalBlkMatSharedPtr &	GetBlockInvDMatrix () const

const DNekScalBlkMatSharedPtr &	GetBlockSchurCompl () const

const DNekScalBlkMatSharedPtr &	GetBlockTransformationMatrix () const

const DNekScalBlkMatSharedPtr &	GetBlockTransposedTransformationMatrix () const

DNekScalMatSharedPtr	TransformedSchurCompl (int offset, const boost::shared_ptr< DNekScalMat > &loc_mat)

Static Public Member Functions
static PreconditionerSharedPtr	create (const boost::shared_ptr< GlobalLinSys > &plinsys, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
	Creates an instance of this class. More...

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

Protected Attributes
Array< OneD, NekDouble >	m_diagonals

PreconditionerType	m_preconType

Protected Attributes inherited from Nektar::MultiRegions::Preconditioner
const boost::weak_ptr< GlobalLinSys >	m_linsys

PreconditionerType	m_preconType

DNekMatSharedPtr	m_preconditioner

boost::shared_ptr< AssemblyMap >	m_locToGloMap

LibUtilities::CommSharedPtr	m_comm

Private Member Functions
void	DiagonalPreconditionerSum (void)

void	StaticCondDiagonalPreconditionerSum (void)

virtual void	v_InitObject ()

virtual void	v_DoPreconditioner (const Array< OneD, NekDouble > &pInput, Array< OneD, NekDouble > &pOutput)
	Apply a preconditioner to the conjugate gradient method. More...

virtual void	v_BuildPreconditioner ()

Static Private Attributes
static std::string	lookupIds []

static std::string	def

Additional Inherited Members
Protected Member Functions inherited from Nektar::MultiRegions::Preconditioner
virtual DNekScalMatSharedPtr	v_TransformedSchurCompl (int offset, const boost::shared_ptr< DNekScalMat > &loc_mat)
	Get block elemental transposed transformation matrix $\mathbf{R}^{T}$ . More...

Detailed Description

Definition at line 50 of file PreconditionerDiagonal.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::PreconditionerDiagonal::PreconditionerDiagonal	(	const boost::shared_ptr< GlobalLinSys > &	plinsys,
		const AssemblyMapSharedPtr &	pLocToGloMap
	)

Definition at line 61 of file PreconditionerDiagonal.cpp.

            : Preconditioner(plinsys, pLocToGloMap),
              m_preconType(pLocToGloMap->GetPreconType())
          {
      }

virtual Nektar::MultiRegions::PreconditionerDiagonal::~PreconditionerDiagonal ( )

inlinevirtual

Definition at line 73 of file PreconditionerDiagonal.h.

73 {}

Member Function Documentation

static PreconditionerSharedPtr Nektar::MultiRegions::PreconditionerDiagonal::create	(	const boost::shared_ptr< GlobalLinSys > &	plinsys,
		const boost::shared_ptr< AssemblyMap > &	pLocToGloMap
	)

inlinestatic

Creates an instance of this class.

Definition at line 54 of file PreconditionerDiagonal.h.

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

             {
             PreconditionerSharedPtr p = MemoryManager<PreconditionerDiagonal>::AllocateSharedPtr(plinsys,pLocToGloMap);
             p->InitObject();
             return p;
             }

void Nektar::MultiRegions::PreconditionerDiagonal::DiagonalPreconditionerSum ( void )

private

Diagonal preconditioner computed by summing the relevant elements of the local matrix system.

Definition at line 96 of file PreconditionerDiagonal.cpp.

References m_diagonals, Nektar::MultiRegions::Preconditioner::m_linsys, Nektar::MultiRegions::Preconditioner::m_locToGloMap, and Vmath::Sdiv().

Referenced by v_BuildPreconditioner().

          {
              boost::shared_ptr<MultiRegions::ExpList> expList = 
                  ((m_linsys.lock())->GetLocMat()).lock();
 
              StdRegions::StdExpansionSharedPtr locExpansion;
 
              int i,j,n,cnt,gid1,gid2;
              NekDouble sign1,sign2,value;
              int nGlobal = m_locToGloMap->GetNumGlobalCoeffs();
              int nDir    = m_locToGloMap->GetNumGlobalDirBndCoeffs();
              int nInt    = nGlobal - nDir;
 
              // fill global matrix
              DNekScalMatSharedPtr loc_mat;
              Array<OneD, NekDouble> vOutput(nGlobal,0.0);
 
              int loc_row;
              int nElmt = expList->GetNumElmts();
              for(n = cnt = 0; n < nElmt; ++n)
              {
                  loc_mat = (m_linsys.lock())->GetBlock(expList->GetOffset_Elmt_Id(n));
                  loc_row = loc_mat->GetRows();
 
                  for(i = 0; i < loc_row; ++i)
                  {
                      gid1 = m_locToGloMap->GetLocalToGlobalMap(cnt + i) - nDir;
                      sign1 =  m_locToGloMap->GetLocalToGlobalSign(cnt + i);
                      if(gid1 >= 0)
                      {
                          for(j = 0; j < loc_row; ++j)
                          {
                              gid2 = m_locToGloMap->GetLocalToGlobalMap(cnt + j)
                                                                     - nDir;
                              sign2 = m_locToGloMap->GetLocalToGlobalSign(cnt + j);
                              if(gid2 == gid1)
                              {
                                  // When global matrix is symmetric,
                                  // only add the value for the upper
                                  // triangular part in order to avoid
                                  // entries to be entered twice
                                  value = vOutput[gid1 + nDir]
                                             + sign1*sign2*(*loc_mat)(i,j);
                                  vOutput[gid1 + nDir] = value;
                              }
                          }
                      }
                  }
                  cnt   += loc_row;
              }
 
              // Assemble diagonal contributions across processes
              m_locToGloMap->UniversalAssemble(vOutput);
 
              m_diagonals = Array<OneD, NekDouble> (nInt);
              Vmath::Sdiv(nInt, 1.0, &vOutput[nDir], 1, &m_diagonals[0], 1);
          }

void Nektar::MultiRegions::PreconditionerDiagonal::StaticCondDiagonalPreconditionerSum ( void )

private

Diagonal preconditioner defined as the inverse of the main diagonal of the Schur complement

Definition at line 159 of file PreconditionerDiagonal.cpp.

References Nektar::MultiRegions::Preconditioner::AssembleStaticCondGlobalDiagonals(), m_diagonals, Nektar::MultiRegions::Preconditioner::m_locToGloMap, and Vmath::Sdiv().

Referenced by v_BuildPreconditioner().

         {
             int nGlobalBnd = m_locToGloMap->GetNumGlobalBndCoeffs();
             int nDirBnd = m_locToGloMap->GetNumGlobalDirBndCoeffs();
             int rows = nGlobalBnd - nDirBnd;
 
             Array<OneD, NekDouble> vOutput(nGlobalBnd,0.0);
 
             // Extract diagonal contributions
             Array<OneD, NekDouble> diagonals = AssembleStaticCondGlobalDiagonals();
             for (unsigned int i = 0; i < rows; ++i)
             {
                 vOutput[nDirBnd + i] = diagonals[i];
             }
 
             // Assemble diagonal contributions across processes
             m_locToGloMap->UniversalAssembleBnd(vOutput);
 
             m_diagonals = Array<OneD, NekDouble> (rows);
             Vmath::Sdiv(rows, 1.0, &vOutput[nDirBnd], 1, &m_diagonals[0], 1);
         }

void Nektar::MultiRegions::PreconditionerDiagonal::v_BuildPreconditioner ( )

privatevirtual

Reimplemented from Nektar::MultiRegions::Preconditioner.

Definition at line 73 of file PreconditionerDiagonal.cpp.

References ASSERTL0, DiagonalPreconditionerSum(), Nektar::MultiRegions::eIterativeFull, Nektar::MultiRegions::eIterativeMultiLevelStaticCond, Nektar::MultiRegions::eIterativeStaticCond, Nektar::MultiRegions::Preconditioner::m_locToGloMap, and StaticCondDiagonalPreconditionerSum().

         {
             GlobalSysSolnType solvertype = 
                 m_locToGloMap->GetGlobalSysSolnType();
             if (solvertype == eIterativeFull)
             {
                 DiagonalPreconditionerSum();
             }
             else if(solvertype == eIterativeStaticCond ||
                     solvertype == eIterativeMultiLevelStaticCond)
             {
                 StaticCondDiagonalPreconditionerSum();
             }
             else
             {
                 ASSERTL0(0,"Unsupported solver type");
             }
         }

void Nektar::MultiRegions::PreconditionerDiagonal::v_DoPreconditioner	(	const Array< OneD, NekDouble > &	pInput,
		Array< OneD, NekDouble > &	pOutput
	)

privatevirtual

Apply a preconditioner to the conjugate gradient method.

Reimplemented from Nektar::MultiRegions::Preconditioner.

Definition at line 184 of file PreconditionerDiagonal.cpp.

References Nektar::MultiRegions::eIterativeFull, m_diagonals, Nektar::MultiRegions::Preconditioner::m_locToGloMap, and Vmath::Vmul().

         {
             GlobalSysSolnType solvertype = 
                 m_locToGloMap->GetGlobalSysSolnType();            
 
             int nGlobal = solvertype == eIterativeFull ?
                 m_locToGloMap->GetNumGlobalCoeffs() :
                 m_locToGloMap->GetNumGlobalBndCoeffs();
             int nDir    = m_locToGloMap->GetNumGlobalDirBndCoeffs();
             int nNonDir = nGlobal-nDir;
             Vmath::Vmul(nNonDir, &pInput[0], 1, &m_diagonals[0], 1, &pOutput[0], 1);
     }

void Nektar::MultiRegions::PreconditionerDiagonal::v_InitObject ( )

privatevirtual

Reimplemented from Nektar::MultiRegions::Preconditioner.

Definition at line 69 of file PreconditionerDiagonal.cpp.

70 {

71 }

Member Data Documentation

string Nektar::MultiRegions::PreconditionerDiagonal::className

static

Initial value:

= GetPreconFactory().RegisterCreatorFunction(
                    "Diagonal",
                    PreconditionerDiagonal::create,
                    "Diagonal Preconditioning")

Name of class.

Registers the class with the Factory.

Definition at line 65 of file PreconditionerDiagonal.h.

std::string Nektar::MultiRegions::PreconditionerDiagonal::def

staticprivate

Definition at line 96 of file PreconditionerDiagonal.h.

std::string Nektar::MultiRegions::PreconditionerDiagonal::lookupIds[]

staticprivate

Definition at line 95 of file PreconditionerDiagonal.h.

Array<OneD, NekDouble> Nektar::MultiRegions::PreconditionerDiagonal::m_diagonals

protected

Definition at line 77 of file PreconditionerDiagonal.h.

Referenced by DiagonalPreconditionerSum(), StaticCondDiagonalPreconditionerSum(), and v_DoPreconditioner().

PreconditionerType Nektar::MultiRegions::PreconditionerDiagonal::m_preconType

protected

Definition at line 79 of file PreconditionerDiagonal.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Attributes

Private Member Functions

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation