A global linear system. More...

#include <GlobalLinSysPETScStaticCond.h>

Inheritance diagram for Nektar::MultiRegions::GlobalLinSysPETScStaticCond:

Collaboration diagram for Nektar::MultiRegions::GlobalLinSysPETScStaticCond:

Public Member Functions
	GlobalLinSysPETScStaticCond (const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
	Constructor for full direct matrix solve. More...

	GlobalLinSysPETScStaticCond (const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const DNekScalBlkMatSharedPtr pSchurCompl, const DNekScalBlkMatSharedPtr pBinvD, const DNekScalBlkMatSharedPtr pC, const DNekScalBlkMatSharedPtr pInvD, const boost::shared_ptr< AssemblyMap > &locToGloMap)
	Constructor for full direct matrix solve. More...

virtual	~GlobalLinSysPETScStaticCond ()

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 ()

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...

Public Member Functions inherited from Nektar::MultiRegions::GlobalLinSysStaticCond
	GlobalLinSysStaticCond (const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
	Constructor for full direct matrix solve. More...

virtual	~GlobalLinSysStaticCond ()

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...

static std::string	className2

Protected Member Functions
virtual GlobalLinSysStaticCondSharedPtr	v_Recurse (const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const DNekScalBlkMatSharedPtr pSchurCompl, const DNekScalBlkMatSharedPtr pBinvD, const DNekScalBlkMatSharedPtr pC, const DNekScalBlkMatSharedPtr pInvD, const boost::shared_ptr< AssemblyMap > &locToGloMap)

virtual void	v_AssembleSchurComplement (boost::shared_ptr< AssemblyMap > locToGloMap)
	Assemble the Schur complement matrix. More...

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 ()
	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 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...

Protected Member Functions inherited from Nektar::MultiRegions::GlobalLinSysStaticCond
virtual DNekScalBlkMatSharedPtr	v_PreSolve (int scLevel, NekVector< NekDouble > &F_GlobBnd)

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

virtual void	v_BasisInvTransform (Array< OneD, NekDouble > &pInOut)

virtual int	v_GetNumBlocks ()
	Get the number of blocks in this system. More...

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_InitObject ()

virtual void	v_Initialise (const boost::shared_ptr< AssemblyMap > &locToGloMap)
	Initialise this object. More...

void	SetupTopLevel (const boost::shared_ptr< AssemblyMap > &locToGloMap)
	Set up the storage for the Schur complement or the top level of the multi-level Schur complement. More...

void	ConstructNextLevelCondensedSystem (const boost::shared_ptr< AssemblyMap > &locToGloMap)

Additional Inherited Members
Protected Attributes inherited from Nektar::MultiRegions::GlobalLinSysPETSc
Mat	m_matrix

Vec	m_x

Vec	m_b

Vec	m_locVec

KSP	m_ksp

vector< int >	m_reorderedMap

VecScatter	m_ctx

int	m_nLocal

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...

Protected Attributes inherited from Nektar::MultiRegions::GlobalLinSysStaticCond
GlobalLinSysStaticCondSharedPtr	m_recursiveSchurCompl
	Schur complement for Direct Static Condensation. More...

DNekScalBlkMatSharedPtr	m_schurCompl
	Block Schur complement matrix. More...

DNekScalBlkMatSharedPtr	m_BinvD
	Block $BD^{-1}$ matrix. More...

DNekScalBlkMatSharedPtr	m_C
	Block matrix. More...

DNekScalBlkMatSharedPtr	m_invD
	Block $D^{-1}$ matrix. More...

boost::shared_ptr< AssemblyMap >	m_locToGloMap
	Local to global map. More...

Array< OneD, NekDouble >	m_wsp
	Workspace array for matrix multiplication. More...

Detailed Description

A global linear system.

Definition at line 55 of file GlobalLinSysPETScStaticCond.h.

Constructor & Destructor Documentation

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

Constructor for full direct matrix solve.

For a matrix system of the form

$\left[ \begin{array}{cc} \boldsymbol{A} & \boldsymbol{B}\\ \boldsymbol{C} & \boldsymbol{D} \end{array} \right] \left[ \begin{array}{c} \boldsymbol{x_1}\\ \boldsymbol{x_2} \end{array}\right] = \left[ \begin{array}{c} \boldsymbol{y_1}\\ \boldsymbol{y_2} \end{array}\right],$

where $\boldsymbol{D}$ and $(\boldsymbol{A-BD^{-1}C})$ are invertible, store and assemble a static condensation system, according to a given local to global mapping. #m_linSys is constructed by AssembleSchurComplement().

Parameters

mKey	Associated matrix key.
pLocMatSys	LocalMatrixSystem
locToGloMap	Local to global mapping.

Definition at line 87 of file GlobalLinSysPETScStaticCond.cpp.

References ASSERTL1, Nektar::MultiRegions::ePETScMultiLevelStaticCond, Nektar::MultiRegions::ePETScStaticCond, and Nektar::MultiRegions::GlobalLinSysKey::GetGlobalSysSolnType().

             : GlobalLinSys          (pKey, pExpList, pLocToGloMap),
               GlobalLinSysPETSc     (pKey, pExpList, pLocToGloMap),
               GlobalLinSysStaticCond(pKey, pExpList, pLocToGloMap)
         {
             ASSERTL1((pKey.GetGlobalSysSolnType()==ePETScStaticCond)||
                      (pKey.GetGlobalSysSolnType()==ePETScMultiLevelStaticCond),
                      "This constructor is only valid when using static "
                      "condensation");
             ASSERTL1(pKey.GetGlobalSysSolnType()
                         == pLocToGloMap->GetGlobalSysSolnType(),
                      "The local to global map is not set up for the requested "
                      "solution type");
         }

Nektar::MultiRegions::GlobalLinSysPETScStaticCond::GlobalLinSysPETScStaticCond	(	const GlobalLinSysKey &	mkey,
		const boost::weak_ptr< ExpList > &	pExpList,
		const DNekScalBlkMatSharedPtr	pSchurCompl,
		const DNekScalBlkMatSharedPtr	pBinvD,
		const DNekScalBlkMatSharedPtr	pC,
		const DNekScalBlkMatSharedPtr	pInvD,
		const boost::shared_ptr< AssemblyMap > &	locToGloMap
	)

Constructor for full direct matrix solve.

Definition at line 109 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSysStaticCond::m_BinvD, Nektar::MultiRegions::GlobalLinSysStaticCond::m_C, Nektar::MultiRegions::GlobalLinSysStaticCond::m_invD, and Nektar::MultiRegions::GlobalLinSysStaticCond::m_schurCompl.

             : GlobalLinSys          (pKey, pExpList, pLocToGloMap),
               GlobalLinSysPETSc     (pKey, pExpList, pLocToGloMap),
               GlobalLinSysStaticCond(pKey, pExpList, pLocToGloMap)
         {
             m_schurCompl = pSchurCompl;
             m_BinvD      = pBinvD;
             m_C          = pC;
             m_invD       = pInvD;
         }

Nektar::MultiRegions::GlobalLinSysPETScStaticCond::~GlobalLinSysPETScStaticCond ( )

virtual

Definition at line 131 of file GlobalLinSysPETScStaticCond.cpp.

         {
 
         }

Member Function Documentation

static GlobalLinSysSharedPtr Nektar::MultiRegions::GlobalLinSysPETScStaticCond::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 60 of file GlobalLinSysPETScStaticCond.h.

             {
                 GlobalLinSysSharedPtr p = MemoryManager<
                     GlobalLinSysPETScStaticCond>::AllocateSharedPtr(
                         pLinSysKey, pExpList, pLocToGloMap);
                 p->InitObject();
                 return p;
             }

void Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_AssembleSchurComplement ( boost::shared_ptr< AssemblyMap > locToGloMap )

protectedvirtual

Assemble the Schur complement matrix.

Assemble the schur complement matrix from the block matrices stored in #m_blkMatrices and the given local to global mapping information.

Parameters

locToGloMap Local to global mapping information.

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 141 of file GlobalLinSysPETScStaticCond.cpp.

         {
             int i, j, n, cnt, gid1, gid2, loc_lda;
             NekDouble sign1, sign2, value;
 
             const int nDirDofs = pLocToGloMap->GetNumGlobalDirBndCoeffs();
 
             DNekScalBlkMatSharedPtr SchurCompl = m_schurCompl;
             DNekScalBlkMatSharedPtr BinvD      = m_BinvD;
             DNekScalBlkMatSharedPtr C          = m_C;
             DNekScalBlkMatSharedPtr invD       = m_invD;
             DNekScalMatSharedPtr    loc_mat;
 
             // CALCULATE REORDERING MAPPING
             CalculateReordering(pLocToGloMap->GetGlobalToUniversalBndMap(),
                                 pLocToGloMap->GetGlobalToUniversalBndMapUnique(),
                                 pLocToGloMap);
 
             // SET UP VECTORS AND MATRIX
             SetUpMatVec();
 
             for(n = cnt = 0; n < m_schurCompl->GetNumberOfBlockRows(); ++n)
             {
                 loc_mat = m_schurCompl->GetBlock(n,n);
                 loc_lda = loc_mat->GetRows();
 
                 for(i = 0; i < loc_lda; ++i)
                 {
                     gid1 = pLocToGloMap->GetLocalToGlobalBndMap(cnt + i)-nDirDofs;
                     sign1 = pLocToGloMap->GetLocalToGlobalBndSign(cnt + i);
                     if(gid1 >= 0)
                     {
                         int gid1ro = m_reorderedMap[gid1];
                         for(j = 0; j < loc_lda; ++j)
                         {
                             gid2 = pLocToGloMap->GetLocalToGlobalBndMap(cnt + j)
                                                                     - nDirDofs;
                             sign2 = pLocToGloMap->GetLocalToGlobalBndSign(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);
 
             // SET UP SCATTER OBJECTS
             SetUpScatter();
 
             // CONSTRUCT KSP OBJECT
             SetUpSolver(pLocToGloMap->GetIterativeTolerance());
         }

GlobalLinSysStaticCondSharedPtr Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_Recurse	(	const GlobalLinSysKey &	mkey,
		const boost::weak_ptr< ExpList > &	pExpList,
		const DNekScalBlkMatSharedPtr	pSchurCompl,
		const DNekScalBlkMatSharedPtr	pBinvD,
		const DNekScalBlkMatSharedPtr	pC,
		const DNekScalBlkMatSharedPtr	pInvD,
		const boost::shared_ptr< AssemblyMap > &	locToGloMap
	)

protectedvirtual

Implements Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 204 of file GlobalLinSysPETScStaticCond.cpp.

         {
             GlobalLinSysPETScStaticCondSharedPtr sys = MemoryManager<
                 GlobalLinSysPETScStaticCond>::AllocateSharedPtr(
                     mkey, pExpList, pSchurCompl, pBinvD, pC, pInvD, l2gMap);
             sys->Initialise(l2gMap);
             return sys;
         }

Member Data Documentation

string Nektar::MultiRegions::GlobalLinSysPETScStaticCond::className

static

Initial value:

= GetGlobalLinSysFactory().RegisterCreatorFunction(
                    "PETScStaticCond",
                    GlobalLinSysPETScStaticCond::create,
                    "PETSc static condensation.")

Name of class.

Registers the class with the Factory.

Definition at line 74 of file GlobalLinSysPETScStaticCond.h.

string Nektar::MultiRegions::GlobalLinSysPETScStaticCond::className2

static

Initial value:

= GetGlobalLinSysFactory().RegisterCreatorFunction(
                    "PETScMultiLevelStaticCond",
                    GlobalLinSysPETScStaticCond::create,
                    "PETSc multi-level static condensation.")

Definition at line 75 of file GlobalLinSysPETScStaticCond.h.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation