DriverModifiedArnoldi.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: DriverModifiedArnoldi.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"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Driver class for eigenvalue analysis using the modified Arnoldi
//              method.
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef NEKTAR_SOLVERUTILS_DRIVERMODIFIEDARNOLDI_H
#define NEKTAR_SOLVERUTILS_DRIVERMODIFIEDARNOLDI_H
 
#include <SolverUtils/DriverArnoldi.h>
 
namespace Nektar::SolverUtils
{
 
class DriverModifiedArnoldi : public DriverArnoldi
{
public:
    friend class MemoryManager<DriverModifiedArnoldi>;
 
    /// Creates an instance of this class
    static DriverSharedPtr create(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const SpatialDomains::MeshGraphSharedPtr &pGraph)
    {
        DriverSharedPtr p =
            MemoryManager<DriverModifiedArnoldi>::AllocateSharedPtr(pSession,
                                                                    pGraph);
        p->InitObject();
        return p;
    }
 
    /// Name of the class
    static std::string className;
 
protected:
    /// Constructor
    DriverModifiedArnoldi(const LibUtilities::SessionReaderSharedPtr pSession,
                          const SpatialDomains::MeshGraphSharedPtr pGraph);
 
    /// Destructor
    ~DriverModifiedArnoldi() override = default;
 
    /// Virtual function for initialisation implementation.
    void v_InitObject(std::ostream &out = std::cout) override;
 
    /// Virtual function for solve implementation.
    void v_Execute(std::ostream &out = std::cout) override;
 
    static std::string driverLookupId;
 
private:
    /// Generates a new vector in the sequence by applying the linear operator.
    void EV_update(Array<OneD, NekDouble> &src, Array<OneD, NekDouble> &tgt);
 
    /// Generates the upper Hessenberg matrix H and computes its eigenvalues.
    void EV_small(Array<OneD, Array<OneD, NekDouble>> &Kseq,
                  Array<OneD, Array<OneD, NekDouble>> &Kseqcopy, const int ntot,
                  const Array<OneD, NekDouble> &alpha, const int kdim,
                  Array<OneD, NekDouble> &zvec, Array<OneD, NekDouble> &wr,
                  Array<OneD, NekDouble> &wi, NekDouble &resnorm);
 
    /// Tests for convergence of eigenvalues of H.
    int EV_test(const int itrn, const int kdim, Array<OneD, NekDouble> &zvec,
                Array<OneD, NekDouble> &wr, Array<OneD, NekDouble> &wi,
                const NekDouble resnorm, int nvec, std::ofstream &evlout,
                NekDouble &resid0);
 
    /// Sorts a sequence of eigenvectors/eigenvalues by magnitude.
    void EV_sort(Array<OneD, NekDouble> &evec, Array<OneD, NekDouble> &wr,
                 Array<OneD, NekDouble> &wi, Array<OneD, NekDouble> &test,
                 const int dim);
 
    void EV_post(Array<OneD, Array<OneD, NekDouble>> &Tseq,
                 Array<OneD, Array<OneD, NekDouble>> &Kseq, const int ntot,
                 const int kdim, const int nvec, Array<OneD, NekDouble> &zvec,
                 Array<OneD, NekDouble> &wr, Array<OneD, NekDouble> &wi,
                 const int icon);
 
    void EV_big(Array<OneD, Array<OneD, NekDouble>> &bvecs,
                Array<OneD, Array<OneD, NekDouble>> &evecs, const int ntot,
                const int kdim, const int nvec, Array<OneD, NekDouble> &zvec,
                Array<OneD, NekDouble> &wr, Array<OneD, NekDouble> &wi);
};
 
} // namespace Nektar::SolverUtils
 
#endif // NEKTAR_SOLVERS_AUXILIARY_ADRBASE_H