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A CLASS OF NONSYMMETRIC PRECONDITIONERS FOR SADDLE POINT PROBLEMS.
- Source :
-
SIAM Journal on Matrix Analysis & Applications . 2005, Vol. 27 Issue 4, p1125-1149. 25p. - Publication Year :
- 2005
-
Abstract
- For the iterative solution of saddle point problems, a nonsymmetric preconditioner is studied which, with respect to the upper-left block of the system matrix, can be seen as a variant of SSOR. An idealized situation where SSOR is taken with respect to the skew-symmetric part plus the diagonal part of the upper-left block is analyzed in detail. Since action of the preconditioner involves solution of a Schur complement system, an inexact form of the preconditioner can be of interest. This results in an inner-outer iterative process. Numerical experiments with solution of linearized Navier-Stokes equations demonstrate the efficiency of the new preconditioner, especially when the upper-left block is far from symmetric. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08954798
- Volume :
- 27
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Matrix Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22882743
- Full Text :
- https://doi.org/10.1137/040618680