Panzer_ScatterDirichletResidual_Tpetra_impl.hpp

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#ifndef PANZER_SCATTER_DIRICHLET_RESIDUAL_TPETRA_IMPL_HPP
#define PANZER_SCATTER_DIRICHLET_RESIDUAL_TPETRA_IMPL_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_Assert.hpp"

#include "Phalanx_DataLayout.hpp"

#include "Panzer_GlobalIndexer.hpp"
#include "Panzer_PureBasis.hpp"
#include "Panzer_TpetraLinearObjContainer.hpp"
#include "Panzer_LOCPair_GlobalEvaluationData.hpp"
#include "Panzer_ParameterList_GlobalEvaluationData.hpp"
#include "Panzer_GlobalEvaluationDataContainer.hpp"

#include "Phalanx_DataLayout_MDALayout.hpp"

#include "Teuchos_FancyOStream.hpp"

// **********************************************************************
// Specialization: Residual
// **********************************************************************


template<typename TRAITS,typename LO,typename GO,typename NodeT>
panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Residual, TRAITS,LO,GO,NodeT>::
ScatterDirichletResidual_Tpetra(const Teuchos::RCP<const GlobalIndexer> & indexer,
                                const Teuchos::ParameterList& p)
   : globalIndexer_(indexer)
   , globalDataKey_("Residual Scatter Container")
{ 
  std::string scatterName = p.get<std::string>("Scatter Name");
  scatterHolder_ = 
    Teuchos::rcp(new PHX::Tag<ScalarT>(scatterName,Teuchos::rcp(new PHX::MDALayout<Dummy>(0))));

  // get names to be evaluated
  const std::vector<std::string>& names = 
    *(p.get< Teuchos::RCP< std::vector<std::string> > >("Dependent Names"));

  // grab map from evaluated names to field names
  fieldMap_ = p.get< Teuchos::RCP< std::map<std::string,std::string> > >("Dependent Map");

  // determine if we are scattering an initial condition
  scatterIC_ = p.isParameter("Scatter Initial Condition") ? p.get<bool>("Scatter Initial Condition") : false;

  Teuchos::RCP<PHX::DataLayout> dl = (!scatterIC_) ? 
    p.get< Teuchos::RCP<panzer::PureBasis> >("Basis")->functional :
    p.get< Teuchos::RCP<const panzer::PureBasis> >("Basis")->functional ;
  if (!scatterIC_) {
    side_subcell_dim_ = p.get<int>("Side Subcell Dimension");
    local_side_id_ = p.get<int>("Local Side ID");
  }
  
  // build the vector of fields that this is dependent on
  scatterFields_.resize(names.size());
  for (std::size_t eq = 0; eq < names.size(); ++eq) {
    scatterFields_[eq] = PHX::MDField<const ScalarT,Cell,NODE>(names[eq],dl);

    // tell the field manager that we depend on this field
    this->addDependentField(scatterFields_[eq]);
  }

  checkApplyBC_ = p.isParameter("Check Apply BC") ? p.get<bool>("Check Apply BC") : false;
  if (checkApplyBC_) {
    applyBC_.resize(names.size());
    for (std::size_t eq = 0; eq < names.size(); ++eq) {
      applyBC_[eq] = PHX::MDField<const bool,Cell,NODE>(std::string("APPLY_BC_")+fieldMap_->find(names[eq])->second,dl);
      this->addDependentField(applyBC_[eq]);
    }
  }

  // this is what this evaluator provides
  this->addEvaluatedField(*scatterHolder_);

  if (p.isType<std::string>("Global Data Key"))
     globalDataKey_ = p.get<std::string>("Global Data Key");

  this->setName(scatterName+" Scatter Residual");
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT> 
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Residual, TRAITS,LO,GO,NodeT>::
postRegistrationSetup(typename TRAITS::SetupData /* d */, 
                      PHX::FieldManager<TRAITS>& /* fm */)
{
  fieldIds_.resize(scatterFields_.size());

  // load required field numbers for fast use
  for(std::size_t fd=0;fd<scatterFields_.size();++fd) {
    // get field ID from DOF manager
    std::string fieldName = fieldMap_->find(scatterFields_[fd].fieldTag().name())->second;
    fieldIds_[fd] = globalIndexer_->getFieldNum(fieldName);
  }

  // get the number of nodes (Should be renamed basis)
  num_nodes = scatterFields_[0].extent(1);
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Residual, TRAITS,LO,GO,NodeT>::
preEvaluate(typename TRAITS::PreEvalData d)
{
  // extract linear object container
  tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject(globalDataKey_));

  if(tpetraContainer_==Teuchos::null) {
    // extract linear object container
    Teuchos::RCP<LinearObjContainer> loc = Teuchos::rcp_dynamic_cast<LOCPair_GlobalEvaluationData>(d.gedc->getDataObject(globalDataKey_),true)->getGhostedLOC();
    tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(loc);

    dirichletCounter_ = Teuchos::null;
  }
  else {
    // extract dirichlet counter from container
    Teuchos::RCP<LOC> tpetraContainer 
          = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject("Dirichlet Counter"),true);

    dirichletCounter_ = tpetraContainer->get_f();
    TEUCHOS_ASSERT(!Teuchos::is_null(dirichletCounter_));
  }
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Residual, TRAITS,LO,GO,NodeT>::
evaluateFields(typename TRAITS::EvalData workset)
{ 
   std::vector<GO> GIDs;
   std::vector<LO> LIDs;
 
   // for convenience pull out some objects from workset
   std::string blockId = this->wda(workset).block_id;
   const std::vector<std::size_t> & localCellIds = this->wda(workset).cell_local_ids;

   Teuchos::RCP<typename LOC::VectorType> r = (!scatterIC_) ? 
     tpetraContainer_->get_f() :
     tpetraContainer_->get_x(); 

   Teuchos::ArrayRCP<double> r_array = r->get1dViewNonConst();
   Teuchos::ArrayRCP<double> dc_array = dirichletCounter_->get1dViewNonConst();

   // NOTE: A reordering of these loops will likely improve performance
   //       The "getGIDFieldOffsets may be expensive.  However the
   //       "getElementGIDs" can be cheaper. However the lookup for LIDs
   //       may be more expensive!


   // scatter operation for each cell in workset
   for(std::size_t worksetCellIndex=0;worksetCellIndex<localCellIds.size();++worksetCellIndex) {
      std::size_t cellLocalId = localCellIds[worksetCellIndex];

      globalIndexer_->getElementGIDs(cellLocalId,GIDs); 

      // caculate the local IDs for this element
      LIDs.resize(GIDs.size());
      for(std::size_t i=0;i<GIDs.size();i++)
         LIDs[i] = r->getMap()->getLocalElement(GIDs[i]);

      // loop over each field to be scattered
      for(std::size_t fieldIndex = 0; fieldIndex < scatterFields_.size(); fieldIndex++) {
         int fieldNum = fieldIds_[fieldIndex];

         if (!scatterIC_) {
           // this call "should" get the right ordering according to the Intrepid2 basis
           const std::pair<std::vector<int>,std::vector<int> > & indicePair 
             = globalIndexer_->getGIDFieldOffsets_closure(blockId,fieldNum, side_subcell_dim_, local_side_id_);
           const std::vector<int> & elmtOffset = indicePair.first;
           const std::vector<int> & basisIdMap = indicePair.second;
           
           // loop over basis functions
           for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
             int offset = elmtOffset[basis];
             LO lid = LIDs[offset];
             if(lid<0) // not on this processor!
               continue;

             int basisId = basisIdMap[basis];

             if (checkApplyBC_)
               if (!applyBC_[fieldIndex](worksetCellIndex,basisId))
                 continue;

             r_array[lid] = (scatterFields_[fieldIndex])(worksetCellIndex,basisId);

             // record that you set a dirichlet condition
             dc_array[lid] = 1.0;
           }
         } else {
           // this call "should" get the right ordering according to the Intrepid2 basis
           const std::vector<int> & elmtOffset = globalIndexer_->getGIDFieldOffsets(blockId,fieldNum);
   
           // loop over basis functions
           for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
             int offset = elmtOffset[basis];
             LO lid = LIDs[offset];
             if(lid<0) // not on this processor!
               continue;

             r_array[lid] = (scatterFields_[fieldIndex])(worksetCellIndex,basis);

             // record that you set a dirichlet condition
             dc_array[lid] = 1.0;
           }
         }
      }
   }
}

// **********************************************************************
// Specialization: Tangent
// **********************************************************************


template<typename TRAITS,typename LO,typename GO,typename NodeT>
panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Tangent, TRAITS,LO,GO,NodeT>::
ScatterDirichletResidual_Tpetra(const Teuchos::RCP<const GlobalIndexer> & indexer,
                                const Teuchos::ParameterList& p)
   : globalIndexer_(indexer)
   , globalDataKey_("Residual Scatter Container")
{ 
  std::string scatterName = p.get<std::string>("Scatter Name");
  scatterHolder_ = 
    Teuchos::rcp(new PHX::Tag<ScalarT>(scatterName,Teuchos::rcp(new PHX::MDALayout<Dummy>(0))));

  // get names to be evaluated
  const std::vector<std::string>& names = 
    *(p.get< Teuchos::RCP< std::vector<std::string> > >("Dependent Names"));

  // grab map from evaluated names to field names
  fieldMap_ = p.get< Teuchos::RCP< std::map<std::string,std::string> > >("Dependent Map");

  // determine if we are scattering an initial condition
  scatterIC_ = p.isParameter("Scatter Initial Condition") ? p.get<bool>("Scatter Initial Condition") : false;

  Teuchos::RCP<PHX::DataLayout> dl = (!scatterIC_) ? 
    p.get< Teuchos::RCP<panzer::PureBasis> >("Basis")->functional :
    p.get< Teuchos::RCP<const panzer::PureBasis> >("Basis")->functional ;
  if (!scatterIC_) {
    side_subcell_dim_ = p.get<int>("Side Subcell Dimension");
    local_side_id_ = p.get<int>("Local Side ID");
  }
  
  // build the vector of fields that this is dependent on
  scatterFields_.resize(names.size());
  for (std::size_t eq = 0; eq < names.size(); ++eq) {
    scatterFields_[eq] = PHX::MDField<const ScalarT,Cell,NODE>(names[eq],dl);

    // tell the field manager that we depend on this field
    this->addDependentField(scatterFields_[eq]);
  }

  checkApplyBC_ = p.isParameter("Check Apply BC") ? p.get<bool>("Check Apply BC") : false;
  if (checkApplyBC_) {
    applyBC_.resize(names.size());
    for (std::size_t eq = 0; eq < names.size(); ++eq) {
      applyBC_[eq] = PHX::MDField<const bool,Cell,NODE>(std::string("APPLY_BC_")+fieldMap_->find(names[eq])->second,dl);
      this->addDependentField(applyBC_[eq]);
    }
  }

  // this is what this evaluator provides
  this->addEvaluatedField(*scatterHolder_);

  if (p.isType<std::string>("Global Data Key"))
     globalDataKey_ = p.get<std::string>("Global Data Key");

  this->setName(scatterName+" Scatter Tangent");
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT> 
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Tangent, TRAITS,LO,GO,NodeT>::
postRegistrationSetup(typename TRAITS::SetupData /* d */, 
                      PHX::FieldManager<TRAITS>& /* fm */)
{
  fieldIds_.resize(scatterFields_.size());

  // load required field numbers for fast use
  for(std::size_t fd=0;fd<scatterFields_.size();++fd) {
    // get field ID from DOF manager
    std::string fieldName = fieldMap_->find(scatterFields_[fd].fieldTag().name())->second;
    fieldIds_[fd] = globalIndexer_->getFieldNum(fieldName);
  }

  // get the number of nodes (Should be renamed basis)
  num_nodes = scatterFields_[0].extent(1);
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Tangent, TRAITS,LO,GO,NodeT>::
preEvaluate(typename TRAITS::PreEvalData d)
{
  // extract linear object container
  tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject(globalDataKey_));

  if(tpetraContainer_==Teuchos::null) {
    // extract linear object container
    Teuchos::RCP<LinearObjContainer> loc = Teuchos::rcp_dynamic_cast<LOCPair_GlobalEvaluationData>(d.gedc->getDataObject(globalDataKey_),true)->getGhostedLOC();
    tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(loc);

    dirichletCounter_ = Teuchos::null;
  }
  else {
    // extract dirichlet counter from container
    Teuchos::RCP<LOC> tpetraContainer 
          = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject("Dirichlet Counter"),true);

    dirichletCounter_ = tpetraContainer->get_f();
    TEUCHOS_ASSERT(!Teuchos::is_null(dirichletCounter_));
  }

  using Teuchos::RCP;
  using Teuchos::rcp_dynamic_cast;

  // this is the list of parameters and their names that this scatter has to account for
  std::vector<std::string> activeParameters =
    rcp_dynamic_cast<ParameterList_GlobalEvaluationData>(d.gedc->getDataObject("PARAMETER_NAMES"))->getActiveParameters();

  // ETP 02/03/16:  This code needs to be updated to properly handle scatterIC_
  TEUCHOS_ASSERT(!scatterIC_);
  dfdp_vectors_.clear();
  for(std::size_t i=0;i<activeParameters.size();i++) {
    RCP<typename LOC::VectorType> vec =
      rcp_dynamic_cast<LOC>(d.gedc->getDataObject(activeParameters[i]),true)->get_f();
    Teuchos::ArrayRCP<double> vec_array = vec->get1dViewNonConst();
    dfdp_vectors_.push_back(vec_array);
  }
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Tangent, TRAITS,LO,GO,NodeT>::
evaluateFields(typename TRAITS::EvalData workset)
{
   std::vector<GO> GIDs;
   std::vector<LO> LIDs;

   // for convenience pull out some objects from workset
   std::string blockId = this->wda(workset).block_id;
   const std::vector<std::size_t> & localCellIds = this->wda(workset).cell_local_ids;

   Teuchos::RCP<typename LOC::VectorType> r = (!scatterIC_) ?
     tpetraContainer_->get_f() :
     tpetraContainer_->get_x();

   Teuchos::ArrayRCP<double> r_array = r->get1dViewNonConst();
   Teuchos::ArrayRCP<double> dc_array = dirichletCounter_->get1dViewNonConst();

   // NOTE: A reordering of these loops will likely improve performance
   //       The "getGIDFieldOffsets may be expensive.  However the
   //       "getElementGIDs" can be cheaper. However the lookup for LIDs
   //       may be more expensive!


   // scatter operation for each cell in workset
   for(std::size_t worksetCellIndex=0;worksetCellIndex<localCellIds.size();++worksetCellIndex) {
      std::size_t cellLocalId = localCellIds[worksetCellIndex];

      globalIndexer_->getElementGIDs(cellLocalId,GIDs);

      // caculate the local IDs for this element
      LIDs.resize(GIDs.size());
      for(std::size_t i=0;i<GIDs.size();i++)
         LIDs[i] = r->getMap()->getLocalElement(GIDs[i]);

      // loop over each field to be scattered
      for(std::size_t fieldIndex = 0; fieldIndex < scatterFields_.size(); fieldIndex++) {
         int fieldNum = fieldIds_[fieldIndex];

         if (!scatterIC_) {
           // this call "should" get the right ordering according to the Intrepid2 basis
           const std::pair<std::vector<int>,std::vector<int> > & indicePair
             = globalIndexer_->getGIDFieldOffsets_closure(blockId,fieldNum, side_subcell_dim_, local_side_id_);
           const std::vector<int> & elmtOffset = indicePair.first;
           const std::vector<int> & basisIdMap = indicePair.second;

           // loop over basis functions
           for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
             int offset = elmtOffset[basis];
             LO lid = LIDs[offset];
             if(lid<0) // not on this processor!
               continue;

             int basisId = basisIdMap[basis];

             if (checkApplyBC_)
               if (!applyBC_[fieldIndex](worksetCellIndex,basisId))
                 continue;

             ScalarT value = (scatterFields_[fieldIndex])(worksetCellIndex,basisId);
             //r_array[lid] = (scatterFields_[fieldIndex])(worksetCellIndex,basisId).val();

             // then scatter the sensitivity vectors
             if(value.size()==0)
               for(std::size_t d=0;d<dfdp_vectors_.size();d++)
                 dfdp_vectors_[d][lid] = 0.0;
             else
               for(int d=0;d<value.size();d++) {
                 dfdp_vectors_[d][lid] = value.fastAccessDx(d);
               }

             // record that you set a dirichlet condition
             dc_array[lid] = 1.0;
           }
         } else {
           // this call "should" get the right ordering according to the Intrepid2 basis
           const std::vector<int> & elmtOffset = globalIndexer_->getGIDFieldOffsets(blockId,fieldNum);

           // loop over basis functions
           for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
             int offset = elmtOffset[basis];
             LO lid = LIDs[offset];
             if(lid<0) // not on this processor!
               continue;

             ScalarT value = (scatterFields_[fieldIndex])(worksetCellIndex,basis);
             //r_array[lid] = (scatterFields_[fieldIndex])(worksetCellIndex,basis).val();

             // then scatter the sensitivity vectors
             if(value.size()==0)
               for(std::size_t d=0;d<dfdp_vectors_.size();d++)
                 dfdp_vectors_[d][lid] = 0.0;
             else
               for(int d=0;d<value.size();d++) {
                 dfdp_vectors_[d][lid] = value.fastAccessDx(d);
               }

             // record that you set a dirichlet condition
             dc_array[lid] = 1.0;
           }
         }
      }
   }
}

// **********************************************************************
// Specialization: Jacobian
// **********************************************************************

template<typename TRAITS,typename LO,typename GO,typename NodeT>
panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Jacobian, TRAITS,LO,GO,NodeT>::
ScatterDirichletResidual_Tpetra(const Teuchos::RCP<const GlobalIndexer> & indexer,
                                const Teuchos::ParameterList& p)
   : globalIndexer_(indexer)
   , globalDataKey_("Residual Scatter Container")
{ 
  std::string scatterName = p.get<std::string>("Scatter Name");
  scatterHolder_ = 
    Teuchos::rcp(new PHX::Tag<ScalarT>(scatterName,Teuchos::rcp(new PHX::MDALayout<Dummy>(0))));

  // get names to be evaluated
  const std::vector<std::string>& names = 
    *(p.get< Teuchos::RCP< std::vector<std::string> > >("Dependent Names"));

  // grab map from evaluated names to field names
  fieldMap_ = p.get< Teuchos::RCP< std::map<std::string,std::string> > >("Dependent Map");

  Teuchos::RCP<PHX::DataLayout> dl = 
    p.get< Teuchos::RCP<panzer::PureBasis> >("Basis")->functional;

  side_subcell_dim_ = p.get<int>("Side Subcell Dimension");
  local_side_id_ = p.get<int>("Local Side ID");
  
  // build the vector of fields that this is dependent on
  scatterFields_.resize(names.size());
  for (std::size_t eq = 0; eq < names.size(); ++eq) {
    scatterFields_[eq] = PHX::MDField<const ScalarT,Cell,NODE>(names[eq],dl);

    // tell the field manager that we depend on this field
    this->addDependentField(scatterFields_[eq]);
  }

  checkApplyBC_ = p.get<bool>("Check Apply BC");
  if (checkApplyBC_) {
    applyBC_.resize(names.size());
    for (std::size_t eq = 0; eq < names.size(); ++eq) {
      applyBC_[eq] = PHX::MDField<const bool,Cell,NODE>(std::string("APPLY_BC_")+fieldMap_->find(names[eq])->second,dl);
      this->addDependentField(applyBC_[eq]);
    }
  }

  // this is what this evaluator provides
  this->addEvaluatedField(*scatterHolder_);

  if (p.isType<std::string>("Global Data Key"))
     globalDataKey_ = p.get<std::string>("Global Data Key");

  this->setName(scatterName+" Scatter Residual (Jacobian)");
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT> 
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Jacobian, TRAITS,LO,GO,NodeT>::
postRegistrationSetup(typename TRAITS::SetupData /* d */,
                      PHX::FieldManager<TRAITS>& /* fm */)
{
  fieldIds_.resize(scatterFields_.size());
  // load required field numbers for fast use
  for(std::size_t fd=0;fd<scatterFields_.size();++fd) {
    // get field ID from DOF manager
    std::string fieldName = fieldMap_->find(scatterFields_[fd].fieldTag().name())->second;
    fieldIds_[fd] = globalIndexer_->getFieldNum(fieldName);
  }

  // get the number of nodes (Should be renamed basis)
  num_nodes = scatterFields_[0].extent(1);
  num_eq = scatterFields_.size();
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Jacobian, TRAITS,LO,GO,NodeT>::
preEvaluate(typename TRAITS::PreEvalData d)
{
  // extract linear object container
  tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject(globalDataKey_));

  if(tpetraContainer_==Teuchos::null) {
    // extract linear object container
    Teuchos::RCP<LinearObjContainer> loc = Teuchos::rcp_dynamic_cast<LOCPair_GlobalEvaluationData>(d.gedc->getDataObject(globalDataKey_),true)->getGhostedLOC();
    tpetraContainer_ = Teuchos::rcp_dynamic_cast<LOC>(loc);

    dirichletCounter_ = Teuchos::null;
  }
  else {
    // extract dirichlet counter from container
    Teuchos::RCP<LOC> tpetraContainer 
          = Teuchos::rcp_dynamic_cast<LOC>(d.gedc->getDataObject("Dirichlet Counter"),true);

    dirichletCounter_ = tpetraContainer->get_f();
    TEUCHOS_ASSERT(!Teuchos::is_null(dirichletCounter_));
  }
}

// **********************************************************************
template<typename TRAITS,typename LO,typename GO,typename NodeT>
void panzer::ScatterDirichletResidual_Tpetra<panzer::Traits::Jacobian, TRAITS,LO,GO,NodeT>::
evaluateFields(typename TRAITS::EvalData workset)
{ 
   std::vector<GO> GIDs;
 
   // for convenience pull out some objects from workset
   std::string blockId = this->wda(workset).block_id;
   const std::vector<std::size_t> & localCellIds = this->wda(workset).cell_local_ids;

   Teuchos::RCP<typename LOC::VectorType> r = tpetraContainer_->get_f(); 
   Teuchos::RCP<typename LOC::CrsMatrixType> Jac = tpetraContainer_->get_A();

   Teuchos::ArrayRCP<double> r_array = r->get1dViewNonConst();
   Teuchos::ArrayRCP<double> dc_array = dirichletCounter_->get1dViewNonConst();

   // NOTE: A reordering of these loops will likely improve performance
   //       The "getGIDFieldOffsets may be expensive.  However the
   //       "getElementGIDs" can be cheaper. However the lookup for LIDs
   //       may be more expensive!

   // scatter operation for each cell in workset
   for(std::size_t worksetCellIndex=0;worksetCellIndex<localCellIds.size();++worksetCellIndex) {
      std::size_t cellLocalId = localCellIds[worksetCellIndex];

      globalIndexer_->getElementGIDs(cellLocalId,GIDs); 
      auto LIDs = globalIndexer_->getElementLIDs(cellLocalId); 

      // loop over each field to be scattered
      for(std::size_t fieldIndex = 0; fieldIndex < scatterFields_.size(); fieldIndex++) {
         int fieldNum = fieldIds_[fieldIndex];
   
         // this call "should" get the right ordering according to the Intrepid2 basis
         const std::pair<std::vector<int>,std::vector<int> > & indicePair 
               = globalIndexer_->getGIDFieldOffsets_closure(blockId,fieldNum, side_subcell_dim_, local_side_id_);
         const std::vector<int> & elmtOffset = indicePair.first;
         const std::vector<int> & basisIdMap = indicePair.second;
   
         // loop over basis functions
         for(std::size_t basis=0;basis<elmtOffset.size();basis++) {
            int offset = elmtOffset[basis];
            LO lid = LIDs[offset];
            if(lid<0) // not on this processor
               continue;

            int basisId = basisIdMap[basis];

            if (checkApplyBC_)
              if (!applyBC_[fieldIndex](worksetCellIndex,basisId))
                continue;

            // zero out matrix row
            {
               std::size_t sz = Jac->getNumEntriesInLocalRow(lid);
               std::size_t numEntries = 0;
               Teuchos::Array<LO> rowIndices(sz);
               Teuchos::Array<double> rowValues(sz);

               // Jac->getLocalRowView(lid,numEntries,rowValues,rowIndices);
               Jac->getLocalRowCopy(lid,rowIndices,rowValues,numEntries);

               for(std::size_t i=0;i<numEntries;i++)
                  rowValues[i] = 0.0;

               Jac->replaceLocalValues(lid,rowIndices,rowValues);
            }
 
            GO gid = GIDs[offset];
            const ScalarT scatterField = (scatterFields_[fieldIndex])(worksetCellIndex,basisId);
    
            r_array[lid] = scatterField.val();
            dc_array[lid] = 1.0; // mark row as dirichlet
    
            // loop over the sensitivity indices: all DOFs on a cell
            std::vector<double> jacRow(scatterField.size(),0.0);
    
            for(int sensIndex=0;sensIndex<scatterField.size();++sensIndex)
               jacRow[sensIndex] = scatterField.fastAccessDx(sensIndex);
            TEUCHOS_ASSERT(jacRow.size()==GIDs.size());
    
            Jac->replaceGlobalValues(gid, GIDs, jacRow);
         }
      }
   }
}

// **********************************************************************

#endif