On local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problems |
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Authors: | Mei-Qun Jiang Yang Cao |
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Affiliation: | School of Mathematics Science, Suzhou University, Suzhou, Jiangsu, 215006, PR China |
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Abstract: | 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. |
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Keywords: | 65H10 65W05 |
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