Preconditioner.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File Preconditioner.cpp
//
// 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).
//
// License for the specific language governing rights and limitations under
// 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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//
// Description: Preconditioner definition
//
///////////////////////////////////////////////////////////////////////////////

#include <MultiRegions/Preconditioner.h>
#include <MultiRegions/GlobalMatrixKey.h>
#include <LocalRegions/MatrixKey.h>
#include <math.h>

namespace Nektar
{
    namespace MultiRegions
    {
        std::string Preconditioner::lookupIds[8] = {
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "Null", eNull),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "Diagonal", eDiagonal),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "FullLinearSpaceWithDiagonal",
                eLinearWithDiagonal),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "FullLinearSpace",eLinear),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "LowEnergyBlock",eLowEnergy),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "FullLinearSpaceWithLowEnergyBlock",
                eLinearWithLowEnergy),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "Block",eBlock),
            LibUtilities::SessionReader::RegisterEnumValue(
                "Preconditioner", "FullLinearSpaceWithBlock",eLinearWithBlock),
        };
        std::string Preconditioner::def =
            LibUtilities::SessionReader::RegisterDefaultSolverInfo(
                "Preconditioner", "Diagonal");

        /**
         * @class Preconditioner
         *
         * This class implements preconditioning for the conjugate 
     * gradient matrix solver.
     */

        Preconditioner::Preconditioner(
            const boost::shared_ptr<GlobalLinSys> &plinsys,
            const AssemblyMapSharedPtr &pLocToGloMap)
            : m_linsys(plinsys),
              m_preconType(pLocToGloMap->GetPreconType()),
              m_locToGloMap(pLocToGloMap)
        {
        }
        
        /**
         *
         */
        PreconFactory& GetPreconFactory()
        {
            typedef Loki::SingletonHolder<PreconFactory,
                Loki::CreateUsingNew,
                Loki::NoDestroy > Type;
            return Type::Instance();
        }

        void Preconditioner::v_InitObject()
        {
            NEKERROR(ErrorUtil::efatal,"Method does not exist" );
    }

        /**
         * \brief Apply a preconditioner to the conjugate gradient method
         */ 
        void Preconditioner::v_DoPreconditioner(
            const Array<OneD, NekDouble>& pInput,
          Array<OneD, NekDouble>& pOutput)
        {
            NEKERROR(ErrorUtil::efatal,"Method does not exist" );
    }

        /**
         * \brief Apply a preconditioner to the conjugate gradient method with
         * an output for non-vertex degrees of freedom.
         */ 
        void Preconditioner::v_DoPreconditionerWithNonVertOutput(
            const Array<OneD, NekDouble> &pInput,
                  Array<OneD, NekDouble> &pOutput,
            const Array<OneD, NekDouble> &pNonVertOutput,
                  Array<OneD, NekDouble>& pVertForce)
        {
            NEKERROR(ErrorUtil::efatal, "Method does not exist");
    }

        /**
         * \brief Transform from original basis to low energy basis
         */ 
        void Preconditioner::v_DoTransformToLowEnergy(
            Array<OneD, NekDouble>& pInOut,
            int offset)
        {
    }

        /**
         * \brief Transform from original basis to low energy basis
         */ 
        void Preconditioner::v_DoTransformToLowEnergy(
            const Array<OneD, NekDouble> &pInOut,
                  Array<OneD, NekDouble> &pOutput)
        {
    }

        /**
         * \brief Transform from low energy basis to orignal basis
         */ 
        void Preconditioner::v_DoTransformFromLowEnergy(
            Array<OneD, NekDouble>& pInput)
        {
            Vmath::Smul(pInput.num_elements(), 1.0, pInput, 1, pInput, 1);
    }

        /**
         * \brief Multiply by the block inverse transformation matrix
         */ 
        void Preconditioner::v_DoMultiplybyInverseTransformationMatrix(
            const Array<OneD, NekDouble> &pInput,
                  Array<OneD, NekDouble> &pOutput)
        {
            NEKERROR(ErrorUtil::efatal,"Method does not exist" );
    }

        /**
         * \brief Multiply by the block transposed inverse transformation matrix
         */ 
        void Preconditioner::v_DoMultiplybyInverseTransposedTransformationMatrix(
            const Array<OneD, NekDouble> &pInput,
                  Array<OneD, NekDouble> &pOutput)
        {
            NEKERROR(ErrorUtil::efatal,"Method does not exist" );
    }

        void Preconditioner::v_BuildPreconditioner()
        {
    }

        /**
         * \brief Get block elemental transposed transformation matrix
         * \f$\mathbf{R}^{T}\f$
         */
        DNekScalMatSharedPtr Preconditioner::v_TransformedSchurCompl(
            int offset, const boost::shared_ptr<DNekScalMat> &loc_mat)
    {
        return loc_mat;
    }

        /**
         * @brief Performs global assembly of diagonal entries to global Schur
         * complement matrix.
         */
        Array<OneD, NekDouble>
            Preconditioner::AssembleStaticCondGlobalDiagonals()
        {
            int nGlobalBnd = m_locToGloMap->GetNumGlobalBndCoeffs();
            int nDirBnd = m_locToGloMap->GetNumGlobalDirBndCoeffs();
            int rows = nGlobalBnd - nDirBnd;

            DNekScalBlkMatSharedPtr loc_mat;
            DNekScalMatSharedPtr    bnd_mat;
            int sign1, sign2, gid1, gid2, i, j, n, cnt;
            Array<OneD, NekDouble> diagonals(rows,0.0);

            // Extract diagonal contributions of globally assembled
            // schur complement matrix
            for (cnt = n = 0; n < m_linsys.lock()->GetNumBlocks(); ++n)
            {
                // Get statically condensed local matrix.
                loc_mat = (m_linsys.lock())->GetStaticCondBlock(n);

                // Extract boundary block.
                bnd_mat = loc_mat->GetBlock(0, 0);

                // Offset by number of rows.
                int bnd_row = bnd_mat->GetRows();

                for (i = 0; i < bnd_row; ++i)
                {
                    gid1  = m_locToGloMap->GetLocalToGlobalBndMap (cnt + i)
                        - nDirBnd;
                    sign1 = m_locToGloMap->GetLocalToGlobalBndSign(cnt + i);

                    if (gid1 < 0)
                    {
                        continue;
                    }

                    for (j = 0; j < bnd_row; ++j)
                    {
                        gid2  = m_locToGloMap->GetLocalToGlobalBndMap (cnt + j)
                            - nDirBnd;
                        sign2 = m_locToGloMap->GetLocalToGlobalBndSign(cnt + j);

                        if (gid2 == gid1)
                        {
                            diagonals[gid1] += sign1 * sign2 * (*bnd_mat)(i, j);
                        }
                    }
                }
                cnt += bnd_row;
            }

            return diagonals;
        }
    }
}