Stokhos_ApproxSchurComplementPreconditioner.hpp

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#ifndef STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP
#define STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP

#include "Teuchos_RCP.hpp"

#include "Stokhos_SGPreconditioner.hpp"
#include "EpetraExt_MultiComm.h"
#include "Stokhos_OrthogPolyBasis.hpp"
#include "Stokhos_EpetraSparse3Tensor.hpp"
#include "Epetra_Map.h"
#include "Stokhos_AbstractPreconditionerFactory.hpp"
#include "Teuchos_ParameterList.hpp"
#include "EpetraExt_BlockMultiVector.h"

namespace Stokhos {
    
  class ApproxSchurComplementPreconditioner : public Stokhos::SGPreconditioner {
      
  public:

    ApproxSchurComplementPreconditioner(
      const Teuchos::RCP<const EpetraExt::MultiComm>& sg_comm,
      const Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> >& sg_basis,
      const Teuchos::RCP<const Stokhos::EpetraSparse3Tensor>& epetraCijk,
      const Teuchos::RCP<const Epetra_Map>& base_map,
      const Teuchos::RCP<const Epetra_Map>& sg_map,
      const Teuchos::RCP<Stokhos::AbstractPreconditionerFactory>& prec_factory,
      const Teuchos::RCP<Teuchos::ParameterList>& params);
    
    virtual ~ApproxSchurComplementPreconditioner();


    virtual void 
    setupPreconditioner(const Teuchos::RCP<Stokhos::SGOperator>& sg_op, 
      const Epetra_Vector& x);



    virtual int SetUseTranspose(bool UseTranspose);
    
    virtual int Apply(const Epetra_MultiVector& Input, 
                      Epetra_MultiVector& Result) const;

    virtual int ApplyInverse(const Epetra_MultiVector& X, 
                             Epetra_MultiVector& Y) const;
    
    virtual double NormInf() const;
    
    virtual const char* Label () const;
  
    virtual bool UseTranspose() const;
    
    virtual bool HasNormInf() const;

    virtual const Epetra_Comm & Comm() const;

    virtual const Epetra_Map& OperatorDomainMap () const;

    virtual const Epetra_Map& OperatorRangeMap () const;


  protected:

    void multiply_block(
      const Teuchos::RCP<const Stokhos::Sparse3Tensor<int,double> >& cijk,
      double alpha,
      const EpetraExt::BlockMultiVector& Input, 
      EpetraExt::BlockMultiVector& Result) const;

    void divide_diagonal_block(
      int row_begin, int row_end,
      const EpetraExt::BlockMultiVector& Input, 
      EpetraExt::BlockMultiVector& Result) const;

  private:
    
    ApproxSchurComplementPreconditioner(const ApproxSchurComplementPreconditioner&);
    
    ApproxSchurComplementPreconditioner& operator=(const ApproxSchurComplementPreconditioner&);
    
  protected:
    
    std::string label;

    Teuchos::RCP<const EpetraExt::MultiComm> sg_comm;

    Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> > sg_basis;

    Teuchos::RCP<const Stokhos::EpetraSparse3Tensor> epetraCijk;
    
    Teuchos::RCP<const Epetra_Map> base_map;

    Teuchos::RCP<const Epetra_Map> sg_map;

    Teuchos::RCP<Stokhos::AbstractPreconditionerFactory> prec_factory;

    Teuchos::RCP<Epetra_Operator> mean_prec;

    bool useTranspose;

    Teuchos::RCP<Stokhos::SGOperator> sg_op;

    Teuchos::RCP<Stokhos::EpetraOperatorOrthogPoly > sg_poly;
    
    typedef Stokhos::Sparse3Tensor<int,double> Cijk_type;

    Teuchos::RCP<const Cijk_type > Cijk;

    int P;

    Teuchos::Array<int> block_indices;

    Teuchos::Array< Teuchos::RCP<Cijk_type> > upper_block_Cijk;
    Teuchos::Array< Teuchos::RCP<Cijk_type> > lower_block_Cijk;

    bool scale_op;

    bool symmetric;

    bool only_use_linear;

    int max_num_mat_vec;

    mutable Teuchos::RCP<Epetra_MultiVector> tmp;

    mutable Teuchos::RCP<EpetraExt::BlockMultiVector> rhs_block;

    mutable Teuchos::Array<double*> j_ptr;
    mutable Teuchos::Array<int> mj_indices;

  }; // class ApproxSchurComplementPreconditioner
  
} // namespace Stokhos

#endif // STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP