MueLu_UzawaSmoother_def.hpp

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/*
 * MueLu_UzawaSmoother_def.hpp
 *
 *  Created on: 13 May 2014
 *      Author: wiesner
 */
 
#ifndef MUELU_UZAWASMOOTHER_DEF_HPP_
#define MUELU_UZAWASMOOTHER_DEF_HPP_
 
#include "Teuchos_ArrayViewDecl.hpp"
#include "Teuchos_ScalarTraits.hpp"
 
#include "MueLu_ConfigDefs.hpp"
 
#include <Xpetra_Matrix.hpp>
#include <Xpetra_BlockedCrsMatrix.hpp>
#include <Xpetra_MultiVectorFactory.hpp>
#include <Xpetra_VectorFactory.hpp>
#include <Xpetra_ReorderedBlockedCrsMatrix.hpp>
 
#include "MueLu_UzawaSmoother_decl.hpp"
#include "MueLu_Level.hpp"
#include "MueLu_Utilities.hpp"
#include "MueLu_Monitor.hpp"
#include "MueLu_HierarchyUtils.hpp"
#include "MueLu_SmootherBase.hpp"
#include "MueLu_SubBlockAFactory.hpp"
 
// include files for default FactoryManager
#include "MueLu_SchurComplementFactory.hpp"
#include "MueLu_DirectSolver.hpp"
#include "MueLu_SmootherFactory.hpp"
#include "MueLu_FactoryManager.hpp"
 
namespace MueLu {
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::UzawaSmoother()
    : type_("Uzawa"), A_(Teuchos::null)
  {
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::~UzawaSmoother() {}
 
  template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
  RCP<const ParameterList> UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::GetValidParameterList() const {
    RCP<ParameterList> validParamList = rcp(new ParameterList());
 
    validParamList->set< RCP<const FactoryBase> >("A",                  Teuchos::null, "Generating factory of the matrix A");
    validParamList->set< Scalar >                ("Damping factor",     1.0, "Damping/Scaling factor in SIMPLE");
    validParamList->set< LocalOrdinal >          ("Sweeps",             1, "Number of SIMPLE sweeps (default = 1)");
 
    return validParamList;
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::AddFactoryManager(RCP<const FactoryManagerBase> FactManager, int pos) {
    TEUCHOS_TEST_FOR_EXCEPTION(pos < 0, Exceptions::RuntimeError, "MueLu::UzawaSmoother::AddFactoryManager: parameter \'pos\' must not be negative! error.");
 
    size_t myPos = Teuchos::as<size_t>(pos);
 
    if (myPos < FactManager_.size()) {
      // replace existing entris in FactManager_ vector
      FactManager_.at(myPos) = FactManager;
    } else if( myPos == FactManager_.size()) {
      // add new Factory manager in the end of the vector
      FactManager_.push_back(FactManager);
    } else { // if(myPos > FactManager_.size())
      RCP<Teuchos::FancyOStream> out = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
      *out << "Warning: cannot add new FactoryManager at proper position " << pos << ". The FactoryManager is just appended to the end. Check this!" << std::endl;
 
      // add new Factory manager in the end of the vector
      FactManager_.push_back(FactManager);
    }
 
  }
 
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::SetVelocityPredictionFactoryManager(RCP<FactoryManager> FactManager) {
    AddFactoryManager(FactManager, 0); // overwrite factory manager for predicting the primary variable
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::SetSchurCompFactoryManager(RCP<FactoryManager> FactManager) {
    AddFactoryManager(FactManager, 1); // overwrite factory manager for SchurComplement
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::DeclareInput(Level &currentLevel) const {
    currentLevel.DeclareInput("A",this->GetFactory("A").get());
 
    TEUCHOS_TEST_FOR_EXCEPTION(FactManager_.size() != 2, Exceptions::RuntimeError,"MueLu::UzawaSmoother::DeclareInput: You have to declare two FactoryManagers with a \"Smoother\" object: One for predicting the primary variable and one for the SchurComplement system. The smoother for the SchurComplement system needs a SchurComplementFactory as input for variable \"A\". make sure that you use the same proper damping factors for omega both in the SchurComplementFactory and in the SIMPLE smoother!");
 
    // loop over all factory managers for the subblocks of blocked operator A
    std::vector<Teuchos::RCP<const FactoryManagerBase> >::const_iterator it;
    for(it = FactManager_.begin(); it!=FactManager_.end(); ++it) {
      SetFactoryManager currentSFM  (rcpFromRef(currentLevel),   *it);
 
      // request "Smoother" for current subblock row.
      currentLevel.DeclareInput("PreSmoother",(*it)->GetFactory("Smoother").get());
    }
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Setup(Level &currentLevel) {
 
    FactoryMonitor m(*this, "Setup blocked Uzawa Smoother", currentLevel);
 
    if (SmootherPrototype::IsSetup() == true)
      this->GetOStream(Warnings0) << "MueLu::UzawaSmoother::Setup(): Setup() has already been called";
 
    // extract blocked operator A from current level
    A_ = Factory::Get<RCP<Matrix> > (currentLevel, "A");
 
    RCP<BlockedCrsMatrix> bA = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(A_);
    TEUCHOS_TEST_FOR_EXCEPTION(bA == Teuchos::null, Exceptions::BadCast, "MueLu::UzawaSmoother::Setup: input matrix A is not of type BlockedCrsMatrix! error.");
 
    // store map extractors
    rangeMapExtractor_ = bA->getRangeMapExtractor();
    domainMapExtractor_ = bA->getDomainMapExtractor();
 
    // Store the blocks in local member variables
    F_ = bA->getMatrix(0, 0);
    G_ = bA->getMatrix(0, 1);
    D_ = bA->getMatrix(1, 0);
    Z_ = bA->getMatrix(1, 1);
 
    // Set the Smoother
    // carefully switch to the SubFactoryManagers (defined by the users)
    {
      RCP<const FactoryManagerBase> velpredictFactManager = FactManager_.at(0);
      SetFactoryManager currentSFM  (rcpFromRef(currentLevel), velpredictFactManager);
      velPredictSmoo_ = currentLevel.Get< RCP<SmootherBase> >("PreSmoother",velpredictFactManager->GetFactory("Smoother").get());
    }
    {
      RCP<const FactoryManagerBase> schurFactManager = FactManager_.at(1);
      SetFactoryManager currentSFM  (rcpFromRef(currentLevel), schurFactManager);
      schurCompSmoo_ = currentLevel.Get< RCP<SmootherBase> >("PreSmoother", schurFactManager->GetFactory("Smoother").get());
    }
 
    SmootherPrototype::IsSetup(true);
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Apply(MultiVector& X, const MultiVector& B, bool /* InitialGuessIsZero */) const
  {
    TEUCHOS_TEST_FOR_EXCEPTION(SmootherPrototype::IsSetup() == false, Exceptions::RuntimeError, "MueLu::UzawaSmoother::Apply(): Setup() has not been called");
 
    Teuchos::RCP<Teuchos::FancyOStream> fos = Teuchos::getFancyOStream(Teuchos::rcpFromRef(std::cout));
 
    SC zero = Teuchos::ScalarTraits<SC>::zero(), one = Teuchos::ScalarTraits<SC>::one();
 
    bool bRangeThyraMode  = rangeMapExtractor_->getThyraMode();
    bool bDomainThyraMode = domainMapExtractor_->getThyraMode();
 
    // extract parameters from internal parameter list
    const ParameterList & pL = Factory::GetParameterList();
    LocalOrdinal nSweeps = pL.get<LocalOrdinal>("Sweeps");
    Scalar omega = pL.get<Scalar>("Damping factor");
 
    // wrap current solution vector in RCP
    RCP<MultiVector>       rcpX = Teuchos::rcpFromRef(X);
    RCP<const MultiVector> rcpB = Teuchos::rcpFromRef(B);
 
    // make sure that both rcpX and rcpB are BlockedMultiVector objects
    bool bCopyResultX = false;
    RCP<BlockedCrsMatrix> bA = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(A_);
    MUELU_TEST_FOR_EXCEPTION(bA.is_null() == true, Exceptions::RuntimeError, "MueLu::BlockedGaussSeidelSmoother::Apply(): A_ must be a BlockedCrsMatrix");
    RCP<BlockedMultiVector> bX = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(rcpX);
    RCP<const BlockedMultiVector> bB = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(rcpB);
 
    if(bX.is_null() == true) {
      RCP<MultiVector> test = Teuchos::rcp(new BlockedMultiVector(bA->getBlockedDomainMap(),rcpX));
      rcpX.swap(test);
      bCopyResultX = true;
    }
 
    if(bB.is_null() == true) {
      RCP<const MultiVector> test = Teuchos::rcp(new BlockedMultiVector(bA->getBlockedRangeMap(),rcpB));
      rcpB.swap(test);
    }
 
    // we now can guarantee that X and B are blocked multi vectors
    bX = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(rcpX);
    bB = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(rcpB);
 
    // check the type of operator
    RCP<Xpetra::ReorderedBlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > rbA = Teuchos::rcp_dynamic_cast<Xpetra::ReorderedBlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> >(bA);
    if(rbA.is_null() == false) {
      // A is a ReorderedBlockedCrsMatrix
      Teuchos::RCP<const Xpetra::BlockReorderManager > brm = rbA->getBlockReorderManager();
 
      // check type of X vector
      if(bX->getBlockedMap()->getNumMaps() != bA->getDomainMapExtractor()->NumMaps()) {
        // X is a blocked multi vector but incompatible to the reordered blocked operator A
        Teuchos::RCP<MultiVector> test =
            buildReorderedBlockedMultiVector(brm, bX);
        rcpX.swap(test);
      }
      if(bB->getBlockedMap()->getNumMaps() != bA->getRangeMapExtractor()->NumMaps()) {
        // B is a blocked multi vector but incompatible to the reordered blocked operator A
        Teuchos::RCP<const MultiVector> test =
            buildReorderedBlockedMultiVector(brm, bB);
        rcpB.swap(test);
      }
    }
 
    // Throughout the rest of the algorithm rcpX and rcpB are used for solution vector and RHS
 
    // create residual vector
    // contains current residual of current solution X with rhs B
    RCP<MultiVector> residual = MultiVectorFactory::Build(rcpB->getMap(), rcpB->getNumVectors());
    RCP<BlockedMultiVector> bresidual = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(residual);
    Teuchos::RCP<MultiVector> r1 = bresidual->getMultiVector(0,bRangeThyraMode);
    Teuchos::RCP<MultiVector> r2 = bresidual->getMultiVector(1,bRangeThyraMode);
 
    // helper vector 1
    RCP<MultiVector> xtilde     = MultiVectorFactory::Build(rcpX->getMap(), rcpX->getNumVectors());
    RCP<BlockedMultiVector> bxtilde = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(xtilde);
    RCP<MultiVector> xtilde1 = bxtilde->getMultiVector(0,bDomainThyraMode);
    RCP<MultiVector> xtilde2 = bxtilde->getMultiVector(1,bDomainThyraMode);
 
    // incrementally improve solution vector X
    for (LocalOrdinal run = 0; run < nSweeps; ++run) {
      // 1) calculate current residual
      residual->update(one,*rcpB,zero); // residual = B
      A_->apply(*rcpX, *residual, Teuchos::NO_TRANS, -one, one);
 
      // 2) solve F * \Delta \tilde{x}_1 = r_1
      //    start with zero guess \Delta \tilde{x}_1
      bxtilde->putScalar(zero);
      velPredictSmoo_->Apply(*xtilde1,*r1);
 
      // 3) calculate rhs for SchurComp equation
      //    r_2 - D \Delta \tilde{x}_1
      RCP<MultiVector> schurCompRHS = MultiVectorFactory::Build(r2->getMap(),rcpB->getNumVectors());
      D_->apply(*xtilde1,*schurCompRHS);
      schurCompRHS->update(one,*r2,-one);
 
      // 4) solve SchurComp equation
      //    start with zero guess \Delta \tilde{x}_2
      schurCompSmoo_->Apply(*xtilde2,*schurCompRHS);
 
      rcpX->update(omega,*bxtilde,one);
    }
 
    if (bCopyResultX == true) {
      RCP<MultiVector> Xmerged = bX->Merge();
      X.update(one, *Xmerged, zero);
    }
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  RCP<MueLu::SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal, Node> >
  UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::Copy() const {
    return rcp( new UzawaSmoother(*this) );
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  std::string UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::description() const {
    std::ostringstream out;
    out << SmootherPrototype::description();
    out << "{type = " << type_ << "}";
    return out.str();
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  void UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::print(Teuchos::FancyOStream &out, const VerbLevel verbLevel) const {
    MUELU_DESCRIBE;
 
    if (verbLevel & Parameters0) {
      out0 << "Prec. type: " << type_ << /*" Sweeps: " << nSweeps_ << " damping: " << omega_ <<*/ std::endl;
    }
 
    if (verbLevel & Debug) {
      out0 << "IsSetup: " << Teuchos::toString(SmootherPrototype::IsSetup()) << std::endl;
    }
  }
 
  template <class Scalar,class LocalOrdinal, class GlobalOrdinal, class Node>
  size_t UzawaSmoother<Scalar, LocalOrdinal, GlobalOrdinal, Node>::getNodeSmootherComplexity() const {
    // FIXME: This is a placeholder
    return Teuchos::OrdinalTraits<size_t>::invalid();
  }
  
} // namespace MueLu
 
 
#endif /* MUELU_UZAWASMOOTHER_DEF_HPP_ */