On local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problems
✍ Scribed by Mei-Qun Jiang; Yang Cao
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 537 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
a b s t r a c t
In this paper, we first present a local Hermitian and skew-Hermitian splitting (LHSS) iteration method for solving a class of generalized saddle point problems. The new method converges to the solution under suitable restrictions on the preconditioning matrix. Then we give a modified LHSS (MLHSS) iteration method, and further extend it to the generalized saddle point problems, obtaining the so-called generalized MLHSS (GMLHSS) iteration method. Numerical experiments for a model Navier-Stokes problem are given, and the results show that the new methods outperform the classical Uzawa method and the inexact parameterized Uzawa method.