Reference documentation for deal.II version Git 437f94a 20180623 09:16:19 0400

#include <deal.II/lac/trilinos_precondition.h>
Classes  
struct  AdditionalData 
Public Member Functions  
void  initialize (const SparseMatrix &matrix, const AdditionalData &additional_data=AdditionalData()) 
Public Member Functions inherited from TrilinosWrappers::PreconditionBase  
PreconditionBase ()  
PreconditionBase (const PreconditionBase &)  
~PreconditionBase () override=default  
void  clear () 
MPI_Comm  get_mpi_communicator () const 
void  transpose () 
virtual void  vmult (MPI::Vector &dst, const MPI::Vector &src) const 
virtual void  Tvmult (MPI::Vector &dst, const MPI::Vector &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 (::LinearAlgebra::distributed::Vector< double > &dst, const ::LinearAlgebra::distributed::Vector< double > &src) const 
virtual void  Tvmult (::LinearAlgebra::distributed::Vector< double > &dst, const ::LinearAlgebra::distributed::Vector< double > &src) const 
Epetra_Operator &  trilinos_operator () const 
IndexSet  locally_owned_domain_indices () const 
IndexSet  locally_owned_range_indices () const 
Public Member Functions inherited from Subscriptor  
Subscriptor ()  
Subscriptor (const Subscriptor &)  
Subscriptor (Subscriptor &&) noexcept  
virtual  ~Subscriptor () 
Subscriptor &  operator= (const Subscriptor &) 
Subscriptor &  operator= (Subscriptor &&) noexcept 
void  subscribe (const char *identifier=nullptr) const 
void  unsubscribe (const char *identifier=nullptr) const 
unsigned int  n_subscriptions () const 
void  list_subscribers () const 
template<class Archive >  
void  serialize (Archive &ar, const unsigned int version) 
Additional Inherited Members  
Public Types inherited from TrilinosWrappers::PreconditionBase  
typedef ::types::global_dof_index  size_type 
Static Public Member Functions inherited from TrilinosWrappers::PreconditionBase  
static::ExceptionBase &  ExcNonMatchingMaps (std::string arg1) 
Static Public Member Functions inherited from Subscriptor  
static::ExceptionBase &  ExcInUse (int arg1, std::string arg2, std::string arg3) 
static::ExceptionBase &  ExcNoSubscriber (std::string arg1, std::string arg2) 
Protected Attributes inherited from TrilinosWrappers::PreconditionBase  
std::shared_ptr< Epetra_Operator >  preconditioner 
Epetra_MpiComm  communicator 
std::shared_ptr< Epetra_Map >  vector_distributor 
A wrapper class for an incomplete Cholesky factorization (IC) preconditioner for symmetric Trilinos matrices. This preconditioner works both in serial and in parallel, depending on the matrix it is based on. In general, an incomplete factorization does not take all fillin elements that would appear in a full factorization (that is the basis for a direct solve). Trilinos allows to set the amount of fillin elements, governed by the additional data argument ic_fill
, so one can gradually choose between a factorization on the sparse matrix structure only (ic_fill=0
) to a full factorization (ic_fill
in the range of 10 to 50, depending on the spatial dimension of the PDE problem and the degree of the finite element basis functions; generally, more required fillin elements require this parameter to be set to a higher integer value).
The AdditionalData data structure allows to set preconditioner options. Besides the fillin argument, these options are some options for perturbations (see the documentation of the AdditionalData structure for details), and a parameter overlap
that determines if and how much overlap there should be between the matrix partitions on the various MPI processes. The default settings are 0 for the additional fillin, 0 for the absolute augmentation tolerance, 1 for the relative augmentation tolerance, 0 for the overlap.
Note that a parallel application of the IC preconditioner is actually a blockJacobi preconditioner with block size equal to the local matrix size. Spoken more technically, this parallel operation is an additive Schwarz method with an IC approximate solve as inner solver, based on the (outer) parallel partitioning.
Definition at line 873 of file trilinos_precondition.h.
void TrilinosWrappers::PreconditionIC::initialize  (  const SparseMatrix &  matrix, 
const AdditionalData &  additional_data = AdditionalData() 

) 
Initialize function. Takes the matrix the preconditioner should be computed of, and additional flags if there are any.
Definition at line 477 of file trilinos_precondition.cc.