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twoD_diffusion_problem_tpetra.hpp
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41
42#ifndef TWOD_DIFFUSION_PROBLEM_TPETRA_HPP
43#define TWOD_DIFFUSION_PROBLEM_TPETRA_HPP
44
45#include "Teuchos_RCP.hpp"
46#include "Teuchos_Array.hpp"
47#include "Teuchos_Comm.hpp"
48
49#include "Tpetra_Map.hpp"
50#include "Tpetra_Vector.hpp"
51#include "Tpetra_Import.hpp"
52#include "Tpetra_CrsGraph.hpp"
53#include "Tpetra_CrsMatrix.hpp"
54
55#include "Stokhos.hpp"
57//#include "Stokhos_Epetra.hpp"
58
60template <typename Scalar,
61 typename MeshScalar,
62 typename BasisScalar,
63 typename LocalOrdinal,
64 typename GlobalOrdinal,
65 typename Node>
67public:
68
69 typedef Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Tpetra_Map;
70 typedef Tpetra::Vector<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_Vector;
71 typedef Tpetra::Operator<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_Operator;
72 typedef Tpetra::CrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> Tpetra_CrsMatrix;
73 typedef Tpetra::CrsGraph<LocalOrdinal,GlobalOrdinal,Node> Tpetra_CrsGraph;
74 typedef Tpetra::Import<LocalOrdinal,GlobalOrdinal,Node> Tpetra_Import;
75
78 const Teuchos::RCP<const Teuchos::Comm<int> >& comm,
80 BasisScalar s = 0.1, BasisScalar mu = 0.2,
81 bool log_normal = false,
82 bool eliminate_bcs = false);
83
86
88 Teuchos::RCP<const Tpetra_Map> get_x_map() const;
89
91 Teuchos::RCP<const Tpetra_Map> get_f_map() const;
92
94 Teuchos::RCP<const Tpetra_Map> get_p_map(LocalOrdinal l) const;
95
97 Teuchos::RCP<const Tpetra_Map> get_g_map(LocalOrdinal j) const;
98
100 Teuchos::RCP<const Teuchos::Array<std::string> >
102
104 Teuchos::RCP<const Tpetra_Vector> get_x_init() const;
105
107 Teuchos::RCP<const Tpetra_Vector> get_p_init(LocalOrdinal l) const;
108
110 Teuchos::RCP<Tpetra_CrsMatrix> create_W() const;
111
113 void computeResidual(const Tpetra_Vector& x,
114 const Tpetra_Vector& p,
116
118 void computeJacobian(const Tpetra_Vector& x,
119 const Tpetra_Vector& p,
121
123 void computeResponse(const Tpetra_Vector& x,
124 const Tpetra_Vector& p,
126
128
129protected:
130
132 template <typename FuncT>
133 void computeA(const FuncT& func, const Tpetra_Vector& p,
134 Tpetra_CrsMatrix& jac);
135
136protected:
137
138 // Mesh
139 MeshScalar h;
140 struct MeshPoint {
141 MeshPoint() : up(-1), down(-1), left(-1), right(-1), boundary(false) {}
142 MeshScalar x, y;
144 bool boundary;
145 };
146 Teuchos::Array<MeshPoint> mesh;
147 Teuchos::Array<GlobalOrdinal> bcIndices;
148 bool log_normal;
149 bool eliminate_bcs;
150
152 Teuchos::RCP<const Tpetra_Map> x_map;
153
155 Teuchos::RCP<Tpetra_Import> importer;
156
158 Teuchos::RCP<Tpetra_Vector> x_init;
159
161 Teuchos::RCP<const Tpetra_Map> p_map;
162
164 Teuchos::RCP<const Tpetra_Map> g_map;
165
167 Teuchos::RCP<Tpetra_Vector> p_init;
168
170 Teuchos::RCP< Teuchos::Array<std::string> > p_names;
171
173 Teuchos::RCP<Tpetra_CrsGraph> graph;
174
176 Teuchos::RCP<Tpetra_Vector> b;
177
179 Teuchos::RCP<Tpetra_CrsMatrix> A;
180
181 // Functor representing a diffusion function given by a KL expansion
183 mutable Teuchos::Array<MeshScalar> point;
184 Teuchos::RCP< Stokhos::KL::ExponentialRandomField<MeshScalar> > rf;
185 KL_Diffusion_Func(MeshScalar xyLeft, MeshScalar xyRight,
186 BasisScalar mean, BasisScalar std_dev,
187 MeshScalar L, LocalOrdinal num_KL);
188 Scalar operator() (MeshScalar x, MeshScalar y,
189 const Teuchos::Array<Scalar>& rv) const;
190 };
191
192 // Functor representing a diffusion function given by a log-normal
193 // PC expansion
194 template <typename DiffusionFunc>
196 const DiffusionFunc& func;
197 LogNormal_Diffusion_Func(const DiffusionFunc& func_) : func(func_) {}
198 Scalar operator() (MeshScalar x, MeshScalar y,
199 const Teuchos::Array<Scalar>& rv) const {
200 return std::exp(func(x,y,rv));
201 }
202 };
203
204 Teuchos::RCP<KL_Diffusion_Func> klFunc;
205 Teuchos::RCP<LogNormal_Diffusion_Func<KL_Diffusion_Func> > lnFunc;
206
207};
208
210
211#endif // TWOD_DIFFUSION_ME_HPP
A linear 2-D diffusion problem.
Teuchos::RCP< Tpetra_CrsGraph > graph
Jacobian graph.
Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > Tpetra_CrsMatrix
Teuchos::RCP< const Teuchos::Array< std::string > > get_p_names(LocalOrdinal l) const
Return array of parameter names.
Teuchos::RCP< Tpetra_Vector > x_init
Initial guess.
Teuchos::RCP< Teuchos::Array< std::string > > p_names
Parameter names.
Teuchos::RCP< const Tpetra_Map > get_g_map(LocalOrdinal j) const
Return response function map.
Teuchos::RCP< const Tpetra_Vector > get_p_init(LocalOrdinal l) const
Return initial parameters.
Teuchos::RCP< Tpetra_Import > importer
Importer to overlapped distribution.
Tpetra::CrsGraph< LocalOrdinal, GlobalOrdinal, Node > Tpetra_CrsGraph
Teuchos::RCP< Tpetra_Vector > b
RHS.
Teuchos::RCP< const Tpetra_Map > get_x_map() const
Return solution vector map.
Teuchos::RCP< const Tpetra_Map > g_map
Response vector map.
void computeResidual(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Vector &f)
Compute residual.
Teuchos::RCP< Tpetra_CrsMatrix > create_W() const
Create W = alpha*M + beta*J matrix.
Tpetra::Map< LocalOrdinal, GlobalOrdinal, Node > Tpetra_Map
Teuchos::RCP< LogNormal_Diffusion_Func< KL_Diffusion_Func > > lnFunc
Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > Tpetra_Operator
Teuchos::Array< GlobalOrdinal > bcIndices
Teuchos::RCP< const Tpetra_Vector > get_x_init() const
Return initial solution.
Teuchos::Array< MeshPoint > mesh
Tpetra::Vector< Scalar, LocalOrdinal, GlobalOrdinal, Node > Tpetra_Vector
Teuchos::RCP< const Tpetra_Map > get_f_map() const
Return residual vector map.
void computeJacobian(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Operator &J)
Compute Jacobian.
Teuchos::RCP< const Tpetra_Map > get_p_map(LocalOrdinal l) const
Return parameter vector map.
Teuchos::RCP< const Tpetra_Map > p_map
Parameter vector map.
Teuchos::RCP< KL_Diffusion_Func > klFunc
void computeA(const FuncT &func, const Tpetra_Vector &p, Tpetra_CrsMatrix &jac)
Fill coefficient matrix given function to evaluate diffusion coefficient.
void computeResponse(const Epetra_Vector &x, const Epetra_Vector &p, Epetra_Vector &g)
Compute response.
Teuchos::RCP< const Tpetra_Map > x_map
Solution vector map.
Teuchos::RCP< Tpetra_CrsMatrix > A
Matrix to store operator.
Tpetra::Import< LocalOrdinal, GlobalOrdinal, Node > Tpetra_Import
Teuchos::RCP< Tpetra_Vector > p_init
Initial parameters.
KokkosClassic::DefaultNode::DefaultNodeType Node
ScalarType g(const Teuchos::Array< ScalarType > &x, const ScalarType &y)
ScalarType f(const Teuchos::Array< ScalarType > &x, double a, double b)
Scalar operator()(MeshScalar x, MeshScalar y, const Teuchos::Array< Scalar > &rv) const
Teuchos::RCP< Stokhos::KL::ExponentialRandomField< MeshScalar > > rf
Scalar operator()(MeshScalar x, MeshScalar y, const Teuchos::Array< Scalar > &rv) const