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Stokhos_ApproxSchurComplementPreconditioner.hpp
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41
42#ifndef STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP
43#define STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP
44
45#include "Teuchos_RCP.hpp"
46
48#include "EpetraExt_MultiComm.h"
51#include "Epetra_Map.h"
53#include "Teuchos_ParameterList.hpp"
54#include "EpetraExt_BlockMultiVector.h"
55
56namespace Stokhos {
57
64
65 public:
66
69 const Teuchos::RCP<const EpetraExt::MultiComm>& sg_comm,
70 const Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> >& sg_basis,
71 const Teuchos::RCP<const Stokhos::EpetraSparse3Tensor>& epetraCijk,
72 const Teuchos::RCP<const Epetra_Map>& base_map,
73 const Teuchos::RCP<const Epetra_Map>& sg_map,
74 const Teuchos::RCP<Stokhos::AbstractPreconditionerFactory>& prec_factory,
75 const Teuchos::RCP<Teuchos::ParameterList>& params);
76
79
82
84 virtual void
85 setupPreconditioner(const Teuchos::RCP<Stokhos::SGOperator>& sg_op,
86 const Epetra_Vector& x);
87
89
92
94 virtual int SetUseTranspose(bool UseTranspose);
95
100 virtual int Apply(const Epetra_MultiVector& Input,
101 Epetra_MultiVector& Result) const;
102
107 virtual int ApplyInverse(const Epetra_MultiVector& X,
108 Epetra_MultiVector& Y) const;
109
111 virtual double NormInf() const;
112
114 virtual const char* Label () const;
115
117 virtual bool UseTranspose() const;
118
123 virtual bool HasNormInf() const;
124
129 virtual const Epetra_Comm & Comm() const;
130
135 virtual const Epetra_Map& OperatorDomainMap () const;
136
141 virtual const Epetra_Map& OperatorRangeMap () const;
142
144
145 protected:
146
147 void multiply_block(
148 const Teuchos::RCP<const Stokhos::Sparse3Tensor<int,double> >& cijk,
149 double alpha,
150 const EpetraExt::BlockMultiVector& Input,
151 EpetraExt::BlockMultiVector& Result) const;
152
154 int row_begin, int row_end,
155 const EpetraExt::BlockMultiVector& Input,
156 EpetraExt::BlockMultiVector& Result) const;
157
158 private:
159
162
165
166 protected:
167
169 std::string label;
170
172 Teuchos::RCP<const EpetraExt::MultiComm> sg_comm;
173
175 Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> > sg_basis;
176
178 Teuchos::RCP<const Stokhos::EpetraSparse3Tensor> epetraCijk;
179
181 Teuchos::RCP<const Epetra_Map> base_map;
182
184 Teuchos::RCP<const Epetra_Map> sg_map;
185
187 Teuchos::RCP<Stokhos::AbstractPreconditionerFactory> prec_factory;
188
190 Teuchos::RCP<Epetra_Operator> mean_prec;
191
194
196 Teuchos::RCP<Stokhos::SGOperator> sg_op;
197
199 Teuchos::RCP<Stokhos::EpetraOperatorOrthogPoly > sg_poly;
200
203
205 Teuchos::RCP<const Cijk_type > Cijk;
206
208 int P;
209
211 Teuchos::Array<int> block_indices;
212
214 Teuchos::Array< Teuchos::RCP<Cijk_type> > upper_block_Cijk;
215 Teuchos::Array< Teuchos::RCP<Cijk_type> > lower_block_Cijk;
216
219
222
225
228
230 mutable Teuchos::RCP<Epetra_MultiVector> tmp;
231
233 mutable Teuchos::RCP<EpetraExt::BlockMultiVector> rhs_block;
234
235 mutable Teuchos::Array<double*> j_ptr;
236 mutable Teuchos::Array<int> mj_indices;
237
238 }; // class ApproxSchurComplementPreconditioner
239
240} // namespace Stokhos
241
242#endif // STOKHOS_APPROX_SCHUR_COMPLEMENT_PRECONDITIONER_HPP
A stochastic preconditioner based on applying the approximate Schur complement preconditioner as defi...
virtual int Apply(const Epetra_MultiVector &Input, Epetra_MultiVector &Result) const
Returns the result of a Epetra_Operator applied to a Epetra_MultiVector Input in Result as described ...
ApproxSchurComplementPreconditioner & operator=(const ApproxSchurComplementPreconditioner &)
Private to prohibit copying.
virtual bool UseTranspose() const
Returns the current UseTranspose setting.
void multiply_block(const Teuchos::RCP< const Stokhos::Sparse3Tensor< int, double > > &cijk, double alpha, const EpetraExt::BlockMultiVector &Input, EpetraExt::BlockMultiVector &Result) const
virtual const char * Label() const
Returns a character string describing the operator.
Teuchos::RCP< const Stokhos::EpetraSparse3Tensor > epetraCijk
Stores Epetra Cijk tensor.
Teuchos::RCP< Stokhos::EpetraOperatorOrthogPoly > sg_poly
Pointer to the PCE expansion of Jacobian.
bool scale_op
Flag indicating whether operator be scaled with <\psi_i^2>
Teuchos::RCP< const Stokhos::OrthogPolyBasis< int, double > > sg_basis
Stochastic Galerking basis.
virtual const Epetra_Map & OperatorDomainMap() const
Returns the Epetra_Map object associated with the domain of this matrix operator.
virtual const Epetra_Comm & Comm() const
Returns a reference to the Epetra_Comm communicator associated with this operator.
virtual void setupPreconditioner(const Teuchos::RCP< Stokhos::SGOperator > &sg_op, const Epetra_Vector &x)
Setup preconditioner.
Teuchos::RCP< const Cijk_type > Cijk
Pointer to triple product.
virtual double NormInf() const
Returns an approximate infinity norm of the operator matrix.
virtual int ApplyInverse(const Epetra_MultiVector &X, Epetra_MultiVector &Y) const
Returns the result of the inverse of the operator applied to a Epetra_MultiVector Input in Result as ...
Teuchos::RCP< Stokhos::AbstractPreconditionerFactory > prec_factory
Stores factory for building mean preconditioner.
Teuchos::RCP< Epetra_MultiVector > tmp
Temporary vector for storing matrix-vector products.
Teuchos::RCP< EpetraExt::BlockMultiVector > rhs_block
Temporary vector for storing rhs in Gauss-Seidel loop.
Teuchos::RCP< Stokhos::SGOperator > sg_op
Pointer to the SG operator.
void divide_diagonal_block(int row_begin, int row_end, const EpetraExt::BlockMultiVector &Input, EpetraExt::BlockMultiVector &Result) const
ApproxSchurComplementPreconditioner(const ApproxSchurComplementPreconditioner &)
Private to prohibit copying.
virtual bool HasNormInf() const
Returns true if the this object can provide an approximate Inf-norm, false otherwise.
Teuchos::Array< Teuchos::RCP< Cijk_type > > upper_block_Cijk
Triple product tensor for each sub-block.
virtual const Epetra_Map & OperatorRangeMap() const
Returns the Epetra_Map object associated with the range of this matrix operator.
bool useTranspose
Flag indicating whether transpose was selected.
Teuchos::RCP< Epetra_Operator > mean_prec
Stores mean preconditioner.
Teuchos::RCP< const EpetraExt::MultiComm > sg_comm
Stores SG parallel communicator.
virtual int SetUseTranspose(bool UseTranspose)
Set to true if the transpose of the operator is requested.
Stokhos::Sparse3Tensor< int, double > Cijk_type
Short-hand for Cijk.
Abstract base class for multivariate orthogonal polynomials.
An abstract class to represent a generic stochastic Galerkin preconditioner as an Epetra_Operator.
Data structure storing a sparse 3-tensor C(i,j,k) in a a compressed format.
Top-level namespace for Stokhos classes and functions.