Reference documentation for deal.II version 9.4.0

#include <deal.II/lac/trilinos_precondition.h>

Inheritance diagram for TrilinosWrappers::PreconditionIC:
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## Public Types

using size_type = ::types::global_dof_index

## Public Member Functions

void clear ()

MPI_Comm get_mpi_communicator () const

void transpose ()

virtual void vmult (MPI::Vector &dst, const MPI::Vector &src) const

virtual void vmult (::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 (MPI::Vector &dst, const MPI::Vector &src) const

virtual void Tvmult (::Vector< double > &dst, const ::Vector< double > &src) const

virtual void Tvmult (::LinearAlgebra::distributed::Vector< double > &dst, const ::LinearAlgebra::distributed::Vector< double > &src) const

Epetra_Operatortrilinos_operator () const

## Partitioners

IndexSet locally_owned_domain_indices () const

IndexSet locally_owned_range_indices () const

Teuchos::RCP< Epetra_Operatorpreconditioner

Epetra_MpiComm communicator

std::shared_ptr< Epetra_Map > vector_distributor

static ::ExceptionBaseExcNonMatchingMaps (std::string arg1)

## Subscriptor functionality

Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.

void subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int n_subscriptions () const

template<typename StreamType >
void list_subscribers (StreamType &stream) const

void list_subscribers () const

template<class Archive >
void serialize (Archive &ar, const unsigned int version)

static ::ExceptionBaseExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBaseExcNoSubscriber (std::string arg1, std::string arg2)

using map_value_type = decltype(counter_map)::value_type

using map_iterator = decltype(counter_map)::iterator

std::atomic< unsigned intcounter

std::map< std::string, unsigned intcounter_map

std::vector< std::atomic< bool > * > validity_pointers

const std::type_info * object_info

static std::mutex mutex

void check_no_subscribers () const noexcept

## Detailed Description

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 fill-in elements that would appear in a full factorization (that is the basis for a direct solve). Trilinos allows to set the amount of fill-in 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 fill-in elements require this parameter to be set to a higher integer value).

The AdditionalData data structure allows to set preconditioner options. Besides the fill-in 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 fill-in, 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 block-Jacobi 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 857 of file trilinos_precondition.h.

The documentation for this class was generated from the following files: