Nektar++
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A global linear system. More...
#include <GlobalLinSysDirect.h>
Public Member Functions | |
GlobalLinSysDirect (const GlobalLinSysKey &pKey, const boost::weak_ptr< ExpList > &pExp, const boost::shared_ptr< AssemblyMap > &pLocToGloMap) | |
Constructor for full direct matrix solve. More... | |
virtual | ~GlobalLinSysDirect () |
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... | |
Protected Member Functions | |
virtual void | v_SolveLinearSystem (const int pNumRows, const Array< OneD, const NekDouble > &pInput, Array< OneD, NekDouble > &pOutput, const AssemblyMapSharedPtr &locToGloMap, const int pNumDir) |
Solve the linear system for given input and output vectors. 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 | |
DNekLinSysSharedPtr | m_linSys |
Basic linear system object. More... | |
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 std::map< int, RobinBCInfoSharedPtr > | m_robinBCInfo |
Robin boundary info. More... | |
bool | m_verbose |
A global linear system.
Solves a linear system using direct methods.
Consider a linear system to be solved, where is a matrix of type specified by mkey. This function assembles the global system matrix out of the elemental submatrices . This is equivalent to:
where the matrix is a sparse permutation matrix of size . However, due to the size and sparsity of the matrix , it is more efficient to assemble the global matrix using the mapping array map contained in the input argument locToGloMap. The global assembly is then evaluated as:
where the values sign ensure the correct connectivity.
Solves a linear system using single- or multi-level static condensation.
Definition at line 49 of file GlobalLinSysDirect.h.
Nektar::MultiRegions::GlobalLinSysDirect::GlobalLinSysDirect | ( | const GlobalLinSysKey & | pKey, |
const boost::weak_ptr< ExpList > & | pExp, | ||
const boost::shared_ptr< AssemblyMap > & | pLocToGloMap | ||
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Constructor for full direct matrix solve.
Definition at line 54 of file GlobalLinSysDirect.cpp.
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virtual |
Definition at line 63 of file GlobalLinSysDirect.cpp.
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protectedvirtual |
Solve the linear system for given input and output vectors.
Implements Nektar::MultiRegions::GlobalLinSys.
Definition at line 68 of file GlobalLinSysDirect.cpp.
References Nektar::eWrapper, and m_linSys.
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protected |
Basic linear system object.
Definition at line 61 of file GlobalLinSysDirect.h.
Referenced by Nektar::MultiRegions::GlobalLinSysDirectFull::AssembleFullMatrix(), Nektar::MultiRegions::GlobalLinSysDirectStaticCond::v_AssembleSchurComplement(), and v_SolveLinearSystem().