twoD_diffusion_problem_tpetra.hpp

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#ifndef TWOD_DIFFUSION_PROBLEM_TPETRA_HPP
#define TWOD_DIFFUSION_PROBLEM_TPETRA_HPP

#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_Comm.hpp"

#include "Tpetra_Map.hpp"
#include "Tpetra_Vector.hpp"
#include "Tpetra_Import.hpp"
#include "Tpetra_CrsGraph.hpp"
#include "Tpetra_CrsMatrix.hpp"

#include "Stokhos.hpp"
#include "Stokhos_KL_ExponentialRandomField.hpp"
//#include "Stokhos_Epetra.hpp"

template <typename Scalar,
    typename MeshScalar,
    typename BasisScalar,
    typename LocalOrdinal,
    typename GlobalOrdinal,
    typename Node>
class twoD_diffusion_problem  {
public:

  typedef Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Tpetra_Map;
  typedef Tpetra::Vector<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_Vector;
  typedef Tpetra::Operator<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_Operator;
  typedef Tpetra::CrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_CrsMatrix;
  typedef Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Node> Tpetra_CrsGraph;
  typedef Tpetra::Import<LocalOrdinal,GlobalOrdinal,Node> Tpetra_Import;

  twoD_diffusion_problem(
    const Teuchos::RCP<const Teuchos::Comm<int> >& comm, 
    LocalOrdinal n, LocalOrdinal d,
    BasisScalar s = 0.1, BasisScalar mu = 0.2, 
    bool log_normal = false,
    bool eliminate_bcs = false);


  Teuchos::RCP<const Tpetra_Map> get_x_map() const;
  
  Teuchos::RCP<const Tpetra_Map> get_f_map() const;
  
  Teuchos::RCP<const Tpetra_Map> get_p_map(LocalOrdinal l) const; 
  
  Teuchos::RCP<const Tpetra_Map> get_g_map(LocalOrdinal j) const;
  
  Teuchos::RCP<const Teuchos::Array<std::string> > 
  get_p_names(LocalOrdinal l) const;
    
  Teuchos::RCP<const Tpetra_Vector> get_x_init() const;
  
  Teuchos::RCP<const Tpetra_Vector> get_p_init(LocalOrdinal l) const;

  Teuchos::RCP<Tpetra_CrsMatrix> create_W() const;
  
  void computeResidual(const Tpetra_Vector& x,
           const Tpetra_Vector& p,
           Tpetra_Vector& f);

  void computeJacobian(const Tpetra_Vector& x,
           const Tpetra_Vector& p,
           Tpetra_CrsMatrix& J);

  void computeResponse(const Tpetra_Vector& x,
           const Tpetra_Vector& p,
           Tpetra_Vector& g);
  

protected:

  template <typename FuncT>
  void computeA(const FuncT& func, const Tpetra_Vector& p, 
    Tpetra_CrsMatrix& jac);

protected:

  // Mesh
  MeshScalar h;
  struct MeshPoint {
    MeshPoint() : up(-1), down(-1), left(-1), right(-1), boundary(false) {}
    MeshScalar x, y;
    LocalOrdinal up, down, left, right;
    bool boundary;
  };
  Teuchos::Array<MeshPoint> mesh;
  Teuchos::Array<GlobalOrdinal> bcIndices;
  bool log_normal;
  bool eliminate_bcs;

  Teuchos::RCP<const Tpetra_Map> x_map;

  Teuchos::RCP<Tpetra_Import> importer;

  Teuchos::RCP<Tpetra_Vector> x_init;

  Teuchos::RCP<const Tpetra_Map> p_map;

  Teuchos::RCP<const Tpetra_Map> g_map;

  Teuchos::RCP<Tpetra_Vector> p_init;
  
  Teuchos::RCP< Teuchos::Array<std::string> > p_names;

  Teuchos::RCP<Tpetra_CrsGraph> graph;

  Teuchos::RCP<Tpetra_Vector> b;

  Teuchos::RCP<Tpetra_CrsMatrix> A;

  // Functor representing a diffusion function given by a KL expansion
  struct KL_Diffusion_Func {
    mutable Teuchos::Array<MeshScalar> point;
    Teuchos::RCP< Stokhos::KL::ExponentialRandomField<MeshScalar> > rf;
    KL_Diffusion_Func(MeshScalar xyLeft, MeshScalar xyRight, 
          BasisScalar mean, BasisScalar std_dev, 
          MeshScalar L, LocalOrdinal num_KL);
    Scalar operator() (MeshScalar x, MeshScalar y, 
           const Teuchos::Array<Scalar>& rv) const;
  };

  // Functor representing a diffusion function given by a log-normal 
  // PC expansion
  template <typename DiffusionFunc>
  struct LogNormal_Diffusion_Func {
    const DiffusionFunc& func;
    LogNormal_Diffusion_Func(const DiffusionFunc& func_) : func(func_) {}
    Scalar operator() (MeshScalar x, MeshScalar y, 
           const Teuchos::Array<Scalar>& rv) const {
      return std::exp(func(x,y,rv));
    }
  };

  Teuchos::RCP<KL_Diffusion_Func> klFunc;
  Teuchos::RCP<LogNormal_Diffusion_Func<KL_Diffusion_Func> > lnFunc;

};

#include "twoD_diffusion_problem_tpetra_def.hpp"

#endif // TWOD_DIFFUSION_ME_HPP