GlobalLinSysIterativeStaticCond.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: GlobalLinSysIterativeStaticCond.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
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// The above copyright notice and this permission notice shall be included
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// Description: GlobalLinSysIterativeStaticCond header
//
///////////////////////////////////////////////////////////////////////////////
#ifndef NEKTAR_LIB_MULTIREGIONS_GLOBALLINSYSITERATIVESTATICCOND_H
#define NEKTAR_LIB_MULTIREGIONS_GLOBALLINSYSITERATIVESTATICCOND_H
 
#include <LibUtilities/LinearAlgebra/SparseMatrixFwd.hpp>
#include <MultiRegions/GlobalLinSysIterative.h>
#include <MultiRegions/GlobalLinSysStaticCond.h>
#include <MultiRegions/GlobalMatrix.h>
 
namespace Nektar::MultiRegions
{
// Forward declarations
class ExpList;
class GlobalLinSysIterativeStaticCond;
 
typedef std::shared_ptr<GlobalLinSysIterativeStaticCond>
    GlobalLinSysIterativeStaticCondSharedPtr;
 
enum LocalMatrixStorageStrategy
{
    eNoStrategy,
    eContiguous,
    eNonContiguous,
    eSparse
};
 
const char *const LocalMatrixStorageStrategyMap[] = {
    "Contiguous", "Non-contiguous", "Sparse"};
 
/// A global linear system.
class GlobalLinSysIterativeStaticCond : virtual public GlobalLinSysIterative,
                                        virtual public GlobalLinSysStaticCond
{
public:
    typedef NekSparseDiagBlkMatrix<StorageSmvBsr<NekDouble>>
        DNekSmvBsrDiagBlkMat;
    typedef std::shared_ptr<DNekSmvBsrDiagBlkMat> DNekSmvBsrDiagBlkMatSharedPtr;
 
    /// Creates an instance of this class
    static GlobalLinSysSharedPtr create(
        const GlobalLinSysKey &pLinSysKey,
        const std::weak_ptr<ExpList> &pExpList,
        const std::shared_ptr<AssemblyMap> &pLocToGloMap)
    {
        GlobalLinSysSharedPtr p =
            MemoryManager<GlobalLinSysIterativeStaticCond>::AllocateSharedPtr(
                pLinSysKey, pExpList, pLocToGloMap);
        p->InitObject();
        return p;
    }
 
    /// Name of class
    static std::string className;
    static std::string className2;
 
    /// Constructor for full direct matrix solve.
    MULTI_REGIONS_EXPORT GlobalLinSysIterativeStaticCond(
        const GlobalLinSysKey &mkey, const std::weak_ptr<ExpList> &pExpList,
        const std::shared_ptr<AssemblyMap> &locToGloMap);
 
    /// Constructor for full direct matrix solve.
    MULTI_REGIONS_EXPORT GlobalLinSysIterativeStaticCond(
        const GlobalLinSysKey &mkey, const std::weak_ptr<ExpList> &pExpList,
        const DNekScalBlkMatSharedPtr pSchurCompl,
        const DNekScalBlkMatSharedPtr pBinvD, const DNekScalBlkMatSharedPtr pC,
        const DNekScalBlkMatSharedPtr pInvD,
        const std::shared_ptr<AssemblyMap> &locToGloMap,
        const PreconditionerSharedPtr pPrecon);
 
    ~GlobalLinSysIterativeStaticCond() override;
 
protected:
    void v_InitObject() override;
 
    /// Assemble the Schur complement matrix.
    void v_AssembleSchurComplement(
        const std::shared_ptr<AssemblyMap> locToGloMap) override;
 
    /// Perform a Shur-complement matrix multiply operation.
    void v_DoMatrixMultiply(const Array<OneD, NekDouble> &pInput,
                            Array<OneD, NekDouble> &pOutput) override;
 
    void v_UniqueMap() override;
 
    DNekScalBlkMatSharedPtr v_GetStaticCondBlock(unsigned int n) override;
    GlobalLinSysStaticCondSharedPtr v_Recurse(
        const GlobalLinSysKey &mkey, const std::weak_ptr<ExpList> &pExpList,
        const DNekScalBlkMatSharedPtr pSchurCompl,
        const DNekScalBlkMatSharedPtr pBinvD, const DNekScalBlkMatSharedPtr pC,
        const DNekScalBlkMatSharedPtr pInvD,
        const std::shared_ptr<AssemblyMap> &locToGloMap) override;
 
    void v_PreSolve(int scLevel, Array<OneD, NekDouble> &F_bnd) override;
    void v_BasisFwdTransform(Array<OneD, NekDouble> &pInOut) override;
    void v_CoeffsBwdTransform(Array<OneD, NekDouble> &pInOut) override;
    void v_CoeffsFwdTransform(const Array<OneD, NekDouble> &pInput,
                              Array<OneD, NekDouble> &pOutput) override;
 
private:
    /// Dense storage for block Schur complement matrix
    std::vector<double> m_storage;
    /// Vector of pointers to local matrix data
    std::vector<const double *> m_denseBlocks;
    /// Ranks of local matrices
    Array<OneD, unsigned int> m_rows;
    /// Scaling factors for local matrices
    Array<OneD, NekDouble> m_scale;
    /// Sparse representation of Schur complement matrix at this level
    DNekSmvBsrDiagBlkMatSharedPtr m_sparseSchurCompl;
    /// Utility strings
    static std::string storagedef;
    static std::string storagelookupIds[];
 
    /// Prepares local representation of Schur complement
    /// stored as a sparse block-diagonal matrix.
    void PrepareLocalSchurComplement();
 
    /// Solve the matrix system
    void v_SolveLinearSystem(const int pNumRows,
                             const Array<OneD, const NekDouble> &pInput,
                             Array<OneD, NekDouble> &pOutput,
                             const AssemblyMapSharedPtr &locToGloMap,
                             const int pNumDir) override;
};
} // namespace Nektar::MultiRegions
 
#endif