Reference documentation for deal.II version Git f283c05 20150828 17:53:40 0500

#include <deal.II/lac/trilinos_precondition.h>
Classes  
struct  AdditionalData 
Public Member Functions  
~PreconditionAMG ()  
void  initialize (const SparseMatrix &matrix, const AdditionalData &additional_data=AdditionalData()) 
void  initialize (const Epetra_RowMatrix &matrix, const AdditionalData &additional_data=AdditionalData()) 
void  initialize (const SparseMatrix &matrix, const Teuchos::ParameterList &ml_parameters) 
void  initialize (const Epetra_RowMatrix &matrix, const Teuchos::ParameterList &ml_parameters) 
template<typename number >  
void  initialize (const ::SparseMatrix< number > &deal_ii_sparse_matrix, const AdditionalData &additional_data=AdditionalData(), const double drop_tolerance=1e13, const ::SparsityPattern *use_this_sparsity=0) 
void  reinit () 
void  clear () 
size_type  memory_consumption () const 
Public Member Functions inherited from TrilinosWrappers::PreconditionBase  
PreconditionBase ()  
PreconditionBase (const PreconditionBase &)  
~PreconditionBase ()  
void  clear () 
virtual void  vmult (VectorBase &dst, const VectorBase &src) const 
virtual void  Tvmult (VectorBase &dst, const VectorBase &src) const 
virtual void  vmult (::Vector< double > &dst, const ::Vector< double > &src) const 
virtual void  Tvmult (::Vector< double > &dst, const ::Vector< double > &src) const 
virtual void  vmult (::parallel::distributed::Vector< double > &dst, const ::parallel::distributed::Vector< double > &src) const 
virtual void  Tvmult (::parallel::distributed::Vector< double > &dst, const ::parallel::distributed::Vector< double > &src) const 
DeclException1 (ExcNonMatchingMaps, std::string,<< "The sparse matrix the preconditioner is based on "<< "uses a map that is not compatible to the one in vector "<< arg1<< ". Check preconditioner and matrix setup.")  
Public Member Functions inherited from Subscriptor  
Subscriptor ()  
Subscriptor (const Subscriptor &)  
virtual  ~Subscriptor () 
Subscriptor &  operator= (const Subscriptor &) 
void  subscribe (const char *identifier=0) const 
void  unsubscribe (const char *identifier=0) const 
unsigned int  n_subscriptions () const 
void  list_subscribers () const 
DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects."<< "\n\n"<< "(Additional information: "<< arg3<< ")\n\n"<< "See the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "a lot more information on what this error means and "<< "how to fix programs in which it happens.")  
DeclException2 (ExcNoSubscriber, char *, char *,<< "No subscriber with identifier <"<< arg2<< "> subscribes to this object of class "<< arg1<< ". Consequently, it cannot be unsubscribed.")  
template<class Archive >  
void  serialize (Archive &ar, const unsigned int version) 
Private Attributes  
std_cxx11::shared_ptr< SparseMatrix >  trilinos_matrix 
Additional Inherited Members  
Public Types inherited from TrilinosWrappers::PreconditionBase  
typedef ::types::global_dof_index  size_type 
Protected Attributes inherited from TrilinosWrappers::PreconditionBase  
std_cxx11::shared_ptr< Epetra_Operator >  preconditioner 
Epetra_MpiComm  communicator 
std_cxx11::shared_ptr< Epetra_Map >  vector_distributor 
This class implements an algebraic multigrid (AMG) preconditioner based on the Trilinos ML implementation, which is a blackbox preconditioner that works well for many PDEbased linear problems. What this class does is twofold. When the initialize() function is invoked, a ML preconditioner object is created based on the matrix that we want the preconditioner to be based on. A call of the respective vmult
function does call the respective operation in the Trilinos package, where it is called ApplyInverse
. Use of this class is explained in the step31 tutorial program.
Since the Trilinos objects we want to use are heavily dependent on Epetra objects, we recommend using this class in conjunction with Trilinos (Epetra) sparse matrices and vectors. There is support for use with matrices of the deal.II::SparseMatrix class and corresponding vectors, too, but this requires generating a copy of the matrix, which is slower and takes (much) more memory. When doing such a copy operation, we can still profit from the fact that some of the entries in the preconditioner matrix are zero and hence can be neglected.
The implementation is able to distinguish between matrices from elliptic problems and convection dominated problems. We use the standard options provided by Trilinos ML for elliptic problems, except that we use a Chebyshev smoother instead of a symmetric GaussSeidel smoother. For most elliptic problems, Chebyshev provides a better damping of high frequencies (in the algebraic sense) than GaussSeidel (SSOR), and is faster (Chebyshev requires only some matrixvector products, whereas SSOR requires substitutions which are more expensive). Moreover, Chebyshev is perfectly parallel in the sense that it does not degenerate when used on many processors. SSOR, on the other hand, gets more Jacobilike on many processors.
For proper functionality of this class we recommend using Trilinos v9.0 and higher. Older versions may have problems with generating the coarse matrix structure when using matrices with many nonzero entries per row (i.e., matrices stemming from higher order finite element discretizations).
Definition at line 1299 of file trilinos_precondition.h.
TrilinosWrappers::PreconditionAMG::~PreconditionAMG  (  ) 
Destructor.
Definition at line 741 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::initialize  (  const SparseMatrix &  matrix, 
const AdditionalData &  additional_data = AdditionalData() 

) 
Let Trilinos compute a multilevel hierarchy for the solution of a linear system with the given matrix. The function uses the matrix format specified in TrilinosWrappers::SparseMatrix.
Definition at line 750 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::initialize  (  const Epetra_RowMatrix &  matrix, 
const AdditionalData &  additional_data = AdditionalData() 

) 
Let Trilinos compute a multilevel hierarchy for the solution of a linear system with the given matrix. As opposed to the other initialize function above, this function uses an abstract interface to an object of type Epetra_RowMatrix which allows a user to pass quite general objects to the ML preconditioner.
This initialization routine is useful in cases where the operator to be preconditioned is not a TrilinosWrappers::SparseMatrix object but still allows to get a copy of the entries in each of the locally owned matrix rows (method ExtractMyRowCopy) and implements a matrixvector product (methods Multiply or Apply). An example are operators which provide faster matrixvector multiplications than possible with matrix entries (matrixfree methods). These implementations can be beneficially combined with Chebyshev smoothers that only perform matrixvector products. The interface class Epetra_RowMatrix is very flexible to enable this kind of implementation.
Definition at line 759 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::initialize  (  const SparseMatrix &  matrix, 
const Teuchos::ParameterList &  ml_parameters  
) 
Let Trilinos compute a multilevel hierarchy for the solution of a linear system with the given matrix. The function uses the matrix format specified in TrilinosWrappers::SparseMatrix.
This function is similar to the one above, but allows the user to set all the options of the Trilinos ML preconditioner. In order to find out about all the options for ML, we refer to the ML user's guide. In particular, users need to follow the ML instructions in case a vectorvalued problem ought to be solved.
Definition at line 878 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::initialize  (  const Epetra_RowMatrix &  matrix, 
const Teuchos::ParameterList &  ml_parameters  
) 
Let Trilinos compute a multilevel hierarchy for the solution of a linear system with the given matrix. As opposed to the other initialize function above, this function uses an abstract interface to an object of type Epetra_RowMatrix which allows a user to pass quite general objects to the ML preconditioner.
Definition at line 887 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::initialize  (  const ::SparseMatrix< number > &  deal_ii_sparse_matrix, 
const AdditionalData &  additional_data = AdditionalData() , 

const double  drop_tolerance = 1e13 , 

const ::SparsityPattern *  use_this_sparsity = 0 

) 
Let Trilinos compute a multilevel hierarchy for the solution of a linear system with the given matrix. This function takes a deal.ii matrix and copies the content into a Trilinos matrix, so the function can be considered rather inefficient.
Definition at line 900 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::reinit  (  ) 
This function can be used for a faster recalculation of the preconditioner construction when the matrix entries underlying the preconditioner have changed, but the matrix sparsity pattern has remained the same. What this function does is taking the already generated coarsening structure, computing the AMG prolongation and restriction according to a smoothed aggregation strategy and then building the whole multilevel hierarchy. This function can be considerably faster than the initialize function, since the coarsening pattern is usually the most difficult thing to do when setting up the AMG ML preconditioner.
Definition at line 927 of file trilinos_precondition.cc.
void TrilinosWrappers::PreconditionAMG::clear  (  ) 
Destroys the preconditioner, leaving an object like just after having called the constructor.
Definition at line 936 of file trilinos_precondition.cc.
PreconditionAMG::size_type TrilinosWrappers::PreconditionAMG::memory_consumption  (  )  const 
Prints an estimate of the memory consumption of this class.
Definition at line 945 of file trilinos_precondition.cc.

private 
A copy of the deal.II matrix into Trilinos format.
Definition at line 1542 of file trilinos_precondition.h.