A new preconditioned SQMR method for solving FEM linear system from electromagnetic problems

被引：0

作者：

Li, Zhaoyan ^{[1
]}

Li, Yuehui ^{[1
]}

Zhao, Chengfang ^{[1
]}

机构：

[1] School of Computer and Software Engineering, Xihua University, Chengdu

来源：

Journal of Computational Information Systems | 2015年 / 11卷 / 04期

关键词：

AINV; FEM; Preconditioning method; Shifted laplace operator; Symmetric QMR;

D O I：

10.12733/jcis13429

中图分类号：

学科分类号：

摘要：

A new preconditioning method is applied to the symmetric QMR (SQMR) iterative algorithm for effectively solving the large sparse and always highly indefinite linear system resulting from the finite element method (FEM) analyzing electromagnetic problems. The proposed preconditioner involves the complex shifted Laplace operator scheme, which can improve the eigenvalue spectrum of the coefficient matrix, and the modified AINV sparse approximate inverse factorization algorithm with pivot compensation technique to avoid the breakdowns during the factorization process. As a result, a more robust and efficient preconditioner can be achieved. Numerical examples on several typical electromagnetic problems demonstrate that the proposed preconditioning method is more effective by comparing with other conventional ones. 1553-9105/Copyright © 2015 Binary Information Press

引用

页码：1379 / 1386

页数：7

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