A new Uzawa method for fourth-order block saddle point problems

被引：4
|
作者：
Shen, Hai-Long [1 ]
Nie, Peng-Fei [1 ]
Shao, Xin-Hui [1 ]
Li, Chang-Jun [1 ]
机构：
[1] Northeastern Univ, Dept Math, Coll Sci, Shenyang, Liaoning, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Uzawa method; SOR method; Saddle point problem; Convergence; Effectiveness; SYMMETRIC SOR METHOD; AUGMENTED SYSTEMS;
D O I：
10.1007/s40314-018-0623-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first propose a new Uzawa-SOR method for fourth-order block saddle point problems. Then we study its convergence conditions through some lemmas and theorems. Finally, the numerical results are presented to prove the 4-USOR method we proposed has less workload per iteration and higher accuracy for large linear system than the other Uzawa-type methods for solving the fourth-order block saddle point problem, which shows the effectiveness and feasibility of our method.
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页码：5175 / 5186
页数：12
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