Nektar++
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Pages
Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | Protected Attributes | List of all members
Nektar::MultiRegions::GlobalLinSysPETScStaticCond Class Reference

A global linear system. More...

#include <GlobalLinSysPETScStaticCond.h>

Inheritance diagram for Nektar::MultiRegions::GlobalLinSysPETScStaticCond:
Inheritance graph
[legend]
Collaboration diagram for Nektar::MultiRegions::GlobalLinSysPETScStaticCond:
Collaboration graph
[legend]

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, const PreconditionerSharedPtr pPrecon=PreconditionerSharedPtr())
 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 ()
 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 GlobalLinSysKeyGetKey (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< GlobalLinSysGetSharedThisPtr ()
 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 void v_InitObject ()
 
virtual void v_AssembleSchurComplement (boost::shared_ptr< AssemblyMap > locToGloMap)
 Assemble the Schur complement matrix. 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...
 
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 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
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)
 
- 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 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 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 Member Functions inherited from Nektar::MultiRegions::GlobalLinSysStaticCond
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_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)
 

Protected Attributes

DNekScalBlkMatSharedPtr m_S1Blk
 
- 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< ExpListm_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 $ C $ matrix. More...
 
DNekScalBlkMatSharedPtr m_invD
 Block $ D^{-1} $ matrix. More...
 
boost::shared_ptr< AssemblyMapm_locToGloMap
 Local to global map. More...
 
Array< OneD, NekDoublem_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
mKeyAssociated matrix key.
pLocMatSysLocalMatrixSystem
locToGloMapLocal to global mapping.

Definition at line 87 of file GlobalLinSysPETScStaticCond.cpp.

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

91  : GlobalLinSys (pKey, pExpList, pLocToGloMap),
92  GlobalLinSysPETSc (pKey, pExpList, pLocToGloMap),
93  GlobalLinSysStaticCond(pKey, pExpList, pLocToGloMap)
94  {
95  ASSERTL1((pKey.GetGlobalSysSolnType()==ePETScStaticCond)||
96  (pKey.GetGlobalSysSolnType()==ePETScMultiLevelStaticCond),
97  "This constructor is only valid when using static "
98  "condensation");
99  ASSERTL1(pKey.GetGlobalSysSolnType()
100  == pLocToGloMap->GetGlobalSysSolnType(),
101  "The local to global map is not set up for the requested "
102  "solution type");
103  }
GlobalLinSysPETSc(const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExp, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
Constructor for full direct matrix solve.
GlobalLinSys(const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
Constructor for full direct matrix solve.
GlobalLinSysStaticCond(const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
Constructor for full direct matrix solve.
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
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,
const PreconditionerSharedPtr  pPrecon = PreconditionerSharedPtr() 
)

Constructor for full direct matrix solve.

Definition at line 108 of file GlobalLinSysPETScStaticCond.cpp.

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

117  : GlobalLinSys (pKey, pExpList, pLocToGloMap),
118  GlobalLinSysPETSc (pKey, pExpList, pLocToGloMap),
119  GlobalLinSysStaticCond(pKey, pExpList, pLocToGloMap)
120  {
121  m_schurCompl = pSchurCompl;
122  m_BinvD = pBinvD;
123  m_C = pC;
124  m_invD = pInvD;
125  m_precon = pPrecon;
126  }
DNekScalBlkMatSharedPtr m_schurCompl
Block Schur complement matrix.
DNekScalBlkMatSharedPtr m_C
Block matrix.
DNekScalBlkMatSharedPtr m_invD
Block matrix.
GlobalLinSysPETSc(const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExp, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
Constructor for full direct matrix solve.
GlobalLinSys(const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
Constructor for full direct matrix solve.
GlobalLinSysStaticCond(const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
Constructor for full direct matrix solve.
DNekScalBlkMatSharedPtr m_BinvD
Block matrix.
Nektar::MultiRegions::GlobalLinSysPETScStaticCond::~GlobalLinSysPETScStaticCond ( )
virtual

Definition at line 131 of file GlobalLinSysPETScStaticCond.cpp.

132  {
133 
134  }

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.

64  {
66  GlobalLinSysPETScStaticCond>::AllocateSharedPtr(
67  pLinSysKey, pExpList, pLocToGloMap);
68  p->InitObject();
69  return p;
70  }
General purpose memory allocation routines with the ability to allocate from thread specific memory p...
GlobalLinSysPETScStaticCond(const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
Constructor for full direct matrix solve.
boost::shared_ptr< GlobalLinSys > GlobalLinSysSharedPtr
Pointer to a GlobalLinSys object.
Definition: GlobalLinSys.h:52
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
locToGloMapLocal to global mapping information.

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 185 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSysPETSc::CalculateReordering(), Nektar::MultiRegions::GlobalLinSys::CreatePrecon(), Nektar::MultiRegions::ePETScMatMultShell, Nektar::MultiRegions::ePETScMultiLevelStaticCond, Nektar::MultiRegions::GlobalLinSysKey::GetGlobalSysSolnType(), Nektar::MultiRegions::GlobalLinSysStaticCond::m_BinvD, Nektar::MultiRegions::GlobalLinSysStaticCond::m_C, Nektar::MultiRegions::GlobalLinSysStaticCond::m_invD, Nektar::MultiRegions::GlobalLinSys::m_linSysKey, Nektar::MultiRegions::GlobalLinSysStaticCond::m_locToGloMap, Nektar::MultiRegions::GlobalLinSysPETSc::m_matMult, Nektar::MultiRegions::GlobalLinSysPETSc::m_matrix, Nektar::MultiRegions::GlobalLinSysPETSc::m_precon, Nektar::MultiRegions::GlobalLinSysPETSc::m_reorderedMap, Nektar::MultiRegions::GlobalLinSysStaticCond::m_schurCompl, Nektar::MultiRegions::GlobalLinSysPETSc::SetUpMatVec(), Nektar::MultiRegions::GlobalLinSysPETSc::SetUpScatter(), and Nektar::MultiRegions::GlobalLinSysPETSc::SetUpSolver().

187  {
188  int i, j, n, cnt, gid1, gid2, loc_lda;
189  NekDouble sign1, sign2, value;
190 
191  const int nDirDofs = pLocToGloMap->GetNumGlobalDirBndCoeffs();
192 
197  DNekScalMatSharedPtr loc_mat;
198 
199  // Build precon again if we in multi-level static condensation (a
200  // bit of a hack)
203  {
205  m_precon->BuildPreconditioner();
206  }
207 
208  // CALCULATE REORDERING MAPPING
209  CalculateReordering(pLocToGloMap->GetGlobalToUniversalBndMap(),
210  pLocToGloMap->GetGlobalToUniversalBndMapUnique(),
211  pLocToGloMap);
212 
213  // SET UP VECTORS AND MATRIX
214  SetUpMatVec(pLocToGloMap->GetNumGlobalBndCoeffs(), nDirDofs);
215 
216  // SET UP SCATTER OBJECTS
217  SetUpScatter();
218 
219  // CONSTRUCT KSP OBJECT
220  SetUpSolver(pLocToGloMap->GetIterativeTolerance());
221 
222  // If we are using the matrix multiplication shell don't try to
223  // populate the matrix.
225  {
226  return;
227  }
228 
229  // POPULATE MATRIX
230  for(n = cnt = 0; n < m_schurCompl->GetNumberOfBlockRows(); ++n)
231  {
232  loc_mat = m_schurCompl->GetBlock(n,n);
233  loc_lda = loc_mat->GetRows();
234 
235  for(i = 0; i < loc_lda; ++i)
236  {
237  gid1 = pLocToGloMap->GetLocalToGlobalBndMap(cnt + i)-nDirDofs;
238  sign1 = pLocToGloMap->GetLocalToGlobalBndSign(cnt + i);
239  if(gid1 >= 0)
240  {
241  int gid1ro = m_reorderedMap[gid1];
242  for(j = 0; j < loc_lda; ++j)
243  {
244  gid2 = pLocToGloMap->GetLocalToGlobalBndMap(cnt + j)
245  - nDirDofs;
246  sign2 = pLocToGloMap->GetLocalToGlobalBndSign(cnt + j);
247  if(gid2 >= 0)
248  {
249  int gid2ro = m_reorderedMap[gid2];
250  value = sign1*sign2*(*loc_mat)(i,j);
251  MatSetValue(
252  m_matrix, gid1ro, gid2ro, value, ADD_VALUES);
253  }
254  }
255  }
256  }
257  cnt += loc_lda;
258  }
259 
260  // ASSEMBLE MATRIX
261  MatAssemblyBegin(m_matrix, MAT_FINAL_ASSEMBLY);
262  MatAssemblyEnd (m_matrix, MAT_FINAL_ASSEMBLY);
263  }
GlobalSysSolnType GetGlobalSysSolnType() const
Return the associated solution type.
DNekScalBlkMatSharedPtr m_schurCompl
Block Schur complement matrix.
DNekScalBlkMatSharedPtr m_C
Block matrix.
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.
void SetUpSolver(NekDouble tolerance)
Set up KSP solver object.
DNekScalBlkMatSharedPtr m_invD
Block matrix.
vector< int > m_reorderedMap
Reordering that takes universal IDs to a unique row in the PETSc matrix.
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
boost::shared_ptr< DNekScalBlkMat > DNekScalBlkMatSharedPtr
Definition: NekTypeDefs.hpp:74
double NekDouble
void SetUpScatter()
Set up PETSc local (equivalent to Nektar++ global) and global (equivalent to universal) scatter maps...
const GlobalLinSysKey m_linSysKey
Key associated with this linear system.
Definition: GlobalLinSys.h:127
void SetUpMatVec(int nGlobal, int nDir)
Construct PETSc matrix and vector handles.
boost::shared_ptr< AssemblyMap > m_locToGloMap
Local to global map.
DNekScalBlkMatSharedPtr m_BinvD
Block matrix.
PETScMatMult m_matMult
Enumerator to select matrix multiplication type.
PreconditionerSharedPtr CreatePrecon(AssemblyMapSharedPtr asmMap)
Create a preconditioner object from the parameters defined in the supplied assembly map...
void Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_BasisInvTransform ( Array< OneD, NekDouble > &  pInOut)
protectedvirtual

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 312 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSysPETSc::m_precon.

314  {
315  m_precon->DoTransformFromLowEnergy(pInOut);
316  }
void Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_BasisTransform ( Array< OneD, NekDouble > &  pInOut,
int  offset 
)
protectedvirtual

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 305 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSysPETSc::m_precon.

308  {
309  m_precon->DoTransformToLowEnergy(pInOut, offset);
310  }
void Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_DoMatrixMultiply ( const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output 
)
protectedvirtual

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

Parameters
inputVector input.
outputResult of multiplication.
Todo:
This can possibly be made faster by using the sparse block-matrix multiplication code from the iterative elastic systems.

Implements Nektar::MultiRegions::GlobalLinSysPETSc.

Definition at line 329 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::NekVector< DataType >::GetPtr(), and Nektar::MultiRegions::GlobalLinSysStaticCond::m_locToGloMap.

332  {
333  int nLocBndDofs = m_locToGloMap->GetNumLocalBndCoeffs();
334  int nDirDofs = m_locToGloMap->GetNumGlobalDirBndCoeffs();
335 
336  NekVector<NekDouble> in(nLocBndDofs), out(nLocBndDofs);
337  m_locToGloMap->GlobalToLocalBnd(input, in.GetPtr(), nDirDofs);
338  out = (*m_schurCompl) * in;
339  m_locToGloMap->AssembleBnd(out.GetPtr(), output, nDirDofs);
340  }
boost::shared_ptr< AssemblyMap > m_locToGloMap
Local to global map.
DNekScalBlkMatSharedPtr Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_GetStaticCondBlock ( unsigned int  n)
protectedvirtual

Retrieves a the static condensation block matrices from n-th expansion using the matrix key provided by the m_linSysKey.

Parameters
nNumber of the expansion
Returns
2x2 Block matrix holding the static condensation matrices for the n-th expansion.

Reimplemented from Nektar::MultiRegions::GlobalLinSys.

Definition at line 266 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::GlobalLinSysStaticCond::m_locToGloMap, m_S1Blk, and Nektar::MultiRegions::GlobalLinSysStaticCond::m_schurCompl.

267  {
268  DNekScalBlkMatSharedPtr schurComplBlock;
269  int scLevel = m_locToGloMap->GetStaticCondLevel();
270  DNekScalBlkMatSharedPtr sc = scLevel == 0 ? m_S1Blk : m_schurCompl;
271  DNekScalMatSharedPtr localMat = sc->GetBlock(n,n);
272  unsigned int nbdry = localMat->GetRows();
273  unsigned int nblks = 1;
274  unsigned int esize[1] = {nbdry};
275 
276  schurComplBlock = MemoryManager<DNekScalBlkMat>
277  ::AllocateSharedPtr(nblks, nblks, esize, esize);
278  schurComplBlock->SetBlock(0, 0, localMat);
279 
280  return schurComplBlock;
281  }
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
DNekScalBlkMatSharedPtr m_schurCompl
Block Schur complement matrix.
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
boost::shared_ptr< DNekScalBlkMat > DNekScalBlkMatSharedPtr
Definition: NekTypeDefs.hpp:74
boost::shared_ptr< AssemblyMap > m_locToGloMap
Local to global map.
void Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_InitObject ( )
protectedvirtual

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 136 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::GlobalLinSys::CreatePrecon(), Nektar::eDIAGONAL, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::MultiRegions::GlobalMatrixKey::GetMatrixType(), Nektar::MultiRegions::GlobalLinSys::Initialise(), Nektar::MultiRegions::GlobalLinSys::m_expList, Nektar::MultiRegions::GlobalLinSys::m_linSysKey, Nektar::MultiRegions::GlobalLinSysStaticCond::m_locToGloMap, Nektar::MultiRegions::GlobalLinSysPETSc::m_precon, m_S1Blk, Nektar::MultiRegions::GlobalLinSysStaticCond::m_schurCompl, and Nektar::MultiRegions::GlobalLinSysStaticCond::SetupTopLevel().

137  {
139 
140  // Allocate memory for top-level structure
142 
143  // Setup Block Matrix systems
144  int n, n_exp = m_expList.lock()->GetNumElmts();
145 
146  MatrixStorage blkmatStorage = eDIAGONAL;
147  const Array<OneD,const unsigned int>& nbdry_size
148  = m_locToGloMap->GetNumLocalBndCoeffsPerPatch();
149 
151  ::AllocateSharedPtr(nbdry_size, nbdry_size, blkmatStorage);
152 
153  // Preserve original matrix in m_S1Blk
154  for (n = 0; n < n_exp; ++n)
155  {
156  DNekScalMatSharedPtr mat = m_schurCompl->GetBlock(n, n);
157  m_S1Blk->SetBlock(n, n, mat);
158  }
159 
160  // Build preconditioner
161  m_precon->BuildPreconditioner();
162 
163  // Do transform of Schur complement matrix
164  for (n = 0; n < n_exp; ++n)
165  {
166  if (m_linSysKey.GetMatrixType() !=
168  {
169  DNekScalMatSharedPtr mat = m_S1Blk->GetBlock(n, n);
170  DNekScalMatSharedPtr t = m_precon->TransformedSchurCompl(
171  m_expList.lock()->GetOffset_Elmt_Id(n), mat);
172  m_schurCompl->SetBlock(n, n, t);
173  }
174  }
175 
176  // Construct this level
178  }
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
DNekScalBlkMatSharedPtr m_schurCompl
Block Schur complement matrix.
void Initialise(const boost::shared_ptr< AssemblyMap > &pLocToGloMap)
Definition: GlobalLinSys.h:214
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
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...
StdRegions::MatrixType GetMatrixType() const
Return the matrix type.
const GlobalLinSysKey m_linSysKey
Key associated with this linear system.
Definition: GlobalLinSys.h:127
boost::shared_ptr< AssemblyMap > m_locToGloMap
Local to global map.
PreconditionerSharedPtr CreatePrecon(AssemblyMapSharedPtr asmMap)
Create a preconditioner object from the parameters defined in the supplied assembly map...
const boost::weak_ptr< ExpList > m_expList
Local Matrix System.
Definition: GlobalLinSys.h:129
DNekScalBlkMatSharedPtr Nektar::MultiRegions::GlobalLinSysPETScStaticCond::v_PreSolve ( int  scLevel,
NekVector< NekDouble > &  F_GlobBnd 
)
protectedvirtual

Reimplemented from Nektar::MultiRegions::GlobalLinSysStaticCond.

Definition at line 283 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSys::CreatePrecon(), Nektar::MultiRegions::GlobalLinSysStaticCond::m_locToGloMap, Nektar::MultiRegions::GlobalLinSysPETSc::m_precon, m_S1Blk, and Nektar::MultiRegions::GlobalLinSysStaticCond::m_schurCompl.

286  {
287  if (scLevel == 0)
288  {
289  // When matrices are supplied to the constructor at the top
290  // level, the preconditioner is never set up.
291  if (!m_precon)
292  {
294  m_precon->BuildPreconditioner();
295  }
296 
297  return m_S1Blk;
298  }
299  else
300  {
301  return m_schurCompl;
302  }
303  }
DNekScalBlkMatSharedPtr m_schurCompl
Block Schur complement matrix.
boost::shared_ptr< AssemblyMap > m_locToGloMap
Local to global map.
PreconditionerSharedPtr CreatePrecon(AssemblyMapSharedPtr asmMap)
Create a preconditioner object from the parameters defined in the supplied assembly map...
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 342 of file GlobalLinSysPETScStaticCond.cpp.

References Nektar::MultiRegions::GlobalLinSysPETSc::m_precon.

350  {
352  GlobalLinSysPETScStaticCond>::AllocateSharedPtr(
353  mkey, pExpList, pSchurCompl, pBinvD, pC, pInvD, l2gMap,
354  m_precon);
355  sys->Initialise(l2gMap);
356  return sys;
357  }
boost::shared_ptr< GlobalLinSysPETScStaticCond > GlobalLinSysPETScStaticCondSharedPtr
General purpose memory allocation routines with the ability to allocate from thread specific memory p...
GlobalLinSysPETScStaticCond(const GlobalLinSysKey &mkey, const boost::weak_ptr< ExpList > &pExpList, const boost::shared_ptr< AssemblyMap > &locToGloMap)
Constructor for full direct matrix solve.

Member Data Documentation

string Nektar::MultiRegions::GlobalLinSysPETScStaticCond::className
static
Initial value:
"PETScStaticCond",
"PETSc static condensation.")

Name of class.

Registers the class with the Factory.

Definition at line 73 of file GlobalLinSysPETScStaticCond.h.

string Nektar::MultiRegions::GlobalLinSysPETScStaticCond::className2
static
Initial value:
"PETScMultiLevelStaticCond",
"PETSc multi-level static condensation.")

Definition at line 74 of file GlobalLinSysPETScStaticCond.h.

DNekScalBlkMatSharedPtr Nektar::MultiRegions::GlobalLinSysPETScStaticCond::m_S1Blk
protected

Definition at line 97 of file GlobalLinSysPETScStaticCond.h.

Referenced by v_GetStaticCondBlock(), v_InitObject(), and v_PreSolve().