Semi-convergence analysis of the GPIU method for singular nonsymmetric saddle-point problems

被引：7
|
作者：
Liang, Zhao-Zheng [1 ]
Zhang, Guo-Feng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2015年 / 70卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singular nonsymmetric saddle-point problems; Generalized parameterized inexact Uzawa splitting; Semi-convergence; SPLITTING ITERATION METHODS; INEXACT UZAWA METHOD; ALGORITHMS;
D O I：
10.1007/s11075-014-9939-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the generalized parameterized inexact Uzawa (GPIU) method is further investigated for solving singular nonsymmetric saddle-point problems. The semi-convergence conditions of this method are derived, which further develop the results obtained in the paper Zhang and Wang, Appl. Math. Comput. 219(9) 4225-4231 (2013). Furthermore, the theoretical results are confirmed by a steady-state Navier-Stokes problem. Numerical experiments demonstrate that the GPIU method is feasible and effective for the 'leaky' lid-driven cavity problems with higher viscosity constants, i.e., singular nonsymmetric saddle-point problems with positive real and symmetric dominant (1,1) part.
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页码：151 / 169
页数：19
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