twoD_diffusion_problem.hpp

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#ifndef TWOD_DIFFUSION_PROBLEM_HPP
#define TWOD_DIFFUSION_PROBLEM_HPP

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

#include "Epetra_Map.h"
#include "Epetra_LocalMap.h"
#include "Epetra_Import.h"
#include "Epetra_CrsGraph.h"
#include "Epetra_CrsMatrix.h"

#include "Stokhos.hpp"
#include "Stokhos_Epetra.hpp"

class twoD_diffusion_problem  {
public:

  twoD_diffusion_problem(
    const Teuchos::RCP<const Epetra_Comm>& comm, int n, int d,
    double s = 0.1, double mu = 0.2, 
    const Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> >& basis = 
    Teuchos::null,
    bool log_normal = false,
    bool eliminate_bcs = false);


  Teuchos::RCP<const Epetra_Map> get_x_map() const;
  
  Teuchos::RCP<const Epetra_Map> get_f_map() const;
  
  Teuchos::RCP<const Epetra_Map> get_p_map(int l) const; 
  
  Teuchos::RCP<const Epetra_Map> get_g_map(int j) const;
  
  Teuchos::RCP<const Teuchos::Array<std::string> > 
  get_p_names(int l) const;
    
  Teuchos::RCP<const Epetra_Vector> get_x_init() const;
  
  Teuchos::RCP<const Epetra_Vector> get_p_init(int l) const;

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

  void computeJacobian(const Epetra_Vector& x,
           const Epetra_Vector& p,
           Epetra_Operator& J);

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

  void computeSGResidual(const Stokhos::EpetraVectorOrthogPoly& x_sg,
       const Stokhos::EpetraVectorOrthogPoly& p_sg,
       Stokhos::OrthogPolyExpansion<int,double>& expn,
       Stokhos::EpetraVectorOrthogPoly& f_sg);

  void computeSGJacobian(const Stokhos::EpetraVectorOrthogPoly& x_sg,
       const Stokhos::EpetraVectorOrthogPoly& p_sg,
       Stokhos::EpetraOperatorOrthogPoly& J_sg);

  void computeSGResponse(const Stokhos::EpetraVectorOrthogPoly& x_sg,
       const Stokhos::EpetraVectorOrthogPoly& p_sg,
       Stokhos::EpetraVectorOrthogPoly& g_sg);
  

  Teuchos::RCP<Epetra_CrsMatrix> get_mean() const { return A_k[0]; }

protected:

  template <typename FuncT>
  void fillMatrices(const FuncT& func, int sz);

  void compute_A(const Epetra_Vector& p);

protected:

  double h;
  struct MeshPoint {
    MeshPoint() : up(-1), down(-1), left(-1), right(-1), boundary(false) {}
    double x, y;
    int up, down, left, right;
    bool boundary;
  };
  Teuchos::Array<MeshPoint> mesh;
  Teuchos::Array<int> bcIndices;

  Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> > basis;
  bool log_normal;
  bool eliminate_bcs;

  Teuchos::RCP<Epetra_Map> x_map;

  Teuchos::RCP<Epetra_Import> importer;

  Teuchos::RCP<Epetra_Vector> x_init;

  Teuchos::RCP<Epetra_Map> p_map;

  Teuchos::RCP<Epetra_Map> g_map;

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

  Teuchos::RCP<Epetra_CrsGraph> graph;

  Teuchos::Array<Teuchos::RCP<Epetra_CrsMatrix> > A_k;

  Teuchos::RCP<Epetra_Vector> b;

  mutable Teuchos::Array< Teuchos::RCP<Epetra_Vector> > sg_kx_vec_all;

  Teuchos::RCP<Epetra_CrsMatrix> A;

  mutable Teuchos::Array<double> point;

  mutable Teuchos::Array<double> basis_vals;
  
};

#endif // TWOD_DIFFUSION_ME_HPP