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
{
namespace 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
        virtual ~DriverModifiedArnoldi();

        /// Virtual function for initialisation implementation.
        virtual void v_InitObject(std::ostream &out = std::cout );

        /// Virtual function for solve implementation.
        virtual void v_Execute(std::ostream &out = std::cout);

    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,
                        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,
                        const 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);

        static std::string driverLookupId;
};

}
}

#endif //NEKTAR_SOLVERS_AUXILIARY_ADRBASE_H