
Classes | |
| struct | AdditionalData |
Public Member Functions | |
| void | initialize (const SparseMatrix &matrix, const AdditionalData &additional_data=AdditionalData()) |
A wrapper class for an incomplete LU factorization (ILU) preconditioner for 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 ilu_fill, so one can gradually choose between a factorization on the sparse matrix structure only (ilu_fill=0) to a full factorization (ilu_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 applicatoin of the ILU 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 ILU approximate solve as inner solver, based on the (outer) parallel partitioning.
Definition at line 735 of file trilinos_precondition.h.
| void TrilinosWrappers::PreconditionILU::initialize | ( | const SparseMatrix & | matrix, |
| const AdditionalData & | additional_data = AdditionalData() |
||
| ) |
Initialize function. Takes the matrix which is used to form the preconditioner, and additional flags if there are any.
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