• 论文 •

### 求解时谐涡流模型鞍点问题的分块交替分裂隐式迭代算法的改进

1. 上海交通大学数学科学学院, 上海 200240
• 收稿日期:2017-05-24 出版日期:2018-09-15 发布日期:2018-08-08
• 通讯作者: 王增琦,Email:wangzengqi@sjtu.edu.cn.
• 基金资助:

国家自然科学基金（11371022）资助项目.

Liu Zhongxiang, Wang Cuiwei, Wang Zengqi. THE IMPROVEMENT OF BLOCK ALTERNATING IMPLICIT ITERATION METHODS FOR SADDLE-POINT PROBLEMS FROM TIME-HARMONIC EDDY CURRENT MODELS[J]. Mathematica Numerica Sinica, 2018, 40(3): 271-286.

### THE IMPROVEMENT OF BLOCK ALTERNATING IMPLICIT ITERATION METHODS FOR SADDLE-POINT PROBLEMS FROM TIME-HARMONIC EDDY CURRENT MODELS

Liu Zhongxiang, Wang Cuiwei, Wang Zengqi

1. Shanghai Jiao Tong University, School of Mathematical Sciences, Shanghai 200240, China
• Received:2017-05-24 Online:2018-09-15 Published:2018-08-08

Block alternating splitting implicit iteration method is the effective iteration methods for solving the complex saddle point linear systems. In the present paper, we accelerate the method with the preconditioning technique and obtain a new iteration methods, called preconditioned block alternating splitting implicit iteration method. By suitable splitting of the coefficient matrix, we obtain several iteration schemes for the complex linear systems arising from a class of time-harmonic eddy current problems. The comparison with the original methods illustrates that the accelerating technique improve the numerical performance significantly.

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