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twoD_diffusion_problem.hpp
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41
42#ifndef TWOD_DIFFUSION_PROBLEM_HPP
43#define TWOD_DIFFUSION_PROBLEM_HPP
44
45#include "Teuchos_RCP.hpp"
46#include "Teuchos_Array.hpp"
47
48#include "Epetra_Map.h"
49#include "Epetra_LocalMap.h"
50#include "Epetra_Import.h"
51#include "Epetra_CrsGraph.h"
52#include "Epetra_CrsMatrix.h"
53
54#include "Stokhos.hpp"
55#include "Stokhos_Epetra.hpp"
56
59public:
60
63 const Teuchos::RCP<const Epetra_Comm>& comm, int n, int d,
64 double s = 0.1, double mu = 0.2,
65 const Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> >& basis =
66 Teuchos::null,
67 bool log_normal = false,
68 bool eliminate_bcs = false);
69
72
74 Teuchos::RCP<const Epetra_Map> get_x_map() const;
75
77 Teuchos::RCP<const Epetra_Map> get_f_map() const;
78
80 Teuchos::RCP<const Epetra_Map> get_p_map(int l) const;
81
83 Teuchos::RCP<const Epetra_Map> get_g_map(int j) const;
84
86 Teuchos::RCP<const Teuchos::Array<std::string> >
87 get_p_names(int l) const;
88
90 Teuchos::RCP<const Epetra_Vector> get_x_init() const;
91
93 Teuchos::RCP<const Epetra_Vector> get_p_init(int l) const;
94
96 Teuchos::RCP<Epetra_Operator> create_W() const;
97
99 void computeResidual(const Epetra_Vector& x,
100 const Epetra_Vector& p,
102
104 void computeJacobian(const Epetra_Vector& x,
105 const Epetra_Vector& p,
106 Epetra_Operator& J);
107
109 void computeResponse(const Epetra_Vector& x,
110 const Epetra_Vector& p,
112
118
123
128
130
132 Teuchos::RCP<Epetra_CrsMatrix> get_mean() const { return A_k[0]; }
133
134protected:
135
137 template <typename FuncT>
138 void fillMatrices(const FuncT& func, int sz);
139
141 void compute_A(const Epetra_Vector& p);
142
143protected:
144
145 double h;
146 struct MeshPoint {
147 MeshPoint() : up(-1), down(-1), left(-1), right(-1), boundary(false) {}
148 double x, y;
151 };
152 Teuchos::Array<MeshPoint> mesh;
153 Teuchos::Array<int> bcIndices;
154
155 Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> > basis;
158
160 Teuchos::RCP<Epetra_Map> x_map;
161
163 Teuchos::RCP<Epetra_Import> importer;
164
166 Teuchos::RCP<Epetra_Vector> x_init;
167
169 Teuchos::RCP<Epetra_Map> p_map;
170
172 Teuchos::RCP<Epetra_Map> g_map;
173
175 Teuchos::RCP<Epetra_Vector> p_init;
176
178 Teuchos::RCP< Teuchos::Array<std::string> > p_names;
179
181 Teuchos::RCP<Epetra_CrsGraph> graph;
182
184 Teuchos::Array<Teuchos::RCP<Epetra_CrsMatrix> > A_k;
185
187 Teuchos::RCP<Epetra_Vector> b;
188
190 mutable Teuchos::Array< Teuchos::RCP<Epetra_Vector> > sg_kx_vec_all;
191
193 Teuchos::RCP<Epetra_CrsMatrix> A;
194
196 mutable Teuchos::Array<double> point;
197
199 mutable Teuchos::Array<double> basis_vals;
200
201};
202
203#endif // TWOD_DIFFUSION_ME_HPP
A container class storing an orthogonal polynomial whose coefficients are vectors,...
A container class storing an orthogonal polynomial whose coefficients are vectors,...
Abstract base class for multivariate orthogonal polynomials.
Abstract base class for orthogonal polynomial-based expansions.
A linear 2-D diffusion problem.
Teuchos::RCP< Epetra_Vector > p_init
Initial parameters.
void fillMatrices(const FuncT &func, int sz)
Fill coefficient matrix given function to evaluate diffusion coefficient.
void computeSGJacobian(const Stokhos::EpetraVectorOrthogPoly &x_sg, const Stokhos::EpetraVectorOrthogPoly &p_sg, Stokhos::EpetraOperatorOrthogPoly &J_sg)
Compute Jacobian.
Teuchos::Array< double > basis_vals
Array to store values of basis at a point.
Teuchos::RCP< Epetra_Map > x_map
Solution vector map.
Teuchos::RCP< Epetra_Vector > x_init
Initial guess.
Teuchos::RCP< const Teuchos::Array< std::string > > get_p_names(int l) const
Return array of parameter names.
Teuchos::RCP< const Epetra_Map > get_x_map() const
Return solution vector map.
void compute_A(const Epetra_Vector &p)
Compute A matrix.
Teuchos::RCP< Epetra_CrsMatrix > A
Matrix to store deterministic operator.
Teuchos::RCP< Teuchos::Array< std::string > > p_names
Parameter names.
Teuchos::RCP< const Epetra_Map > get_p_map(int l) const
Return parameter vector map.
void computeSGResponse(const Stokhos::EpetraVectorOrthogPoly &x_sg, const Stokhos::EpetraVectorOrthogPoly &p_sg, Stokhos::EpetraVectorOrthogPoly &g_sg)
Compute SG response.
Teuchos::RCP< const Epetra_Map > get_f_map() const
Return residual vector map.
Teuchos::RCP< const Epetra_Map > get_g_map(int j) const
Return response function map.
Teuchos::RCP< const Epetra_Vector > get_p_init(int l) const
Return initial parameters.
Teuchos::RCP< Epetra_Map > p_map
Parameter vector map.
Teuchos::Array< Teuchos::RCP< Epetra_Vector > > sg_kx_vec_all
Vectors to store matrix-vector products in SG residual calculation.
Teuchos::RCP< const Stokhos::OrthogPolyBasis< int, double > > basis
void computeResidual(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Vector &f)
Compute residual.
Teuchos::Array< MeshPoint > mesh
Teuchos::Array< double > point
Array to store a point for basis evaluation.
void computeJacobian(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Operator &J)
Compute Jacobian.
Teuchos::RCP< Epetra_Import > importer
Importer to overlapped distribution.
Teuchos::Array< Teuchos::RCP< Epetra_CrsMatrix > > A_k
KL coefficients of operator
Teuchos::RCP< const Epetra_Vector > get_x_init() const
Return initial solution.
Teuchos::Array< int > bcIndices
Teuchos::RCP< Epetra_Vector > b
Deterministic RHS.
Teuchos::RCP< Epetra_CrsGraph > graph
Jacobian graph.
Teuchos::RCP< Epetra_CrsMatrix > get_mean() const
Get mean matrix.
void computeResponse(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Vector &g)
Compute response.
Teuchos::RCP< Epetra_Map > g_map
Response vector map.
Teuchos::RCP< Epetra_Operator > create_W() const
Create W = alpha*M + beta*J matrix.
void computeSGResidual(const Stokhos::EpetraVectorOrthogPoly &x_sg, const Stokhos::EpetraVectorOrthogPoly &p_sg, Stokhos::OrthogPolyExpansion< int, double > &expn, Stokhos::EpetraVectorOrthogPoly &f_sg)
Compute SG residual.
ScalarType g(const Teuchos::Array< ScalarType > &x, const ScalarType &y)
ScalarType f(const Teuchos::Array< ScalarType > &x, double a, double b)