A new double-step method for solving complex Helmholtz equation

被引：5
|
作者：
Salkuyeh, Davod Khojasteh [1 ]
Siahkoalaei, Tahereh Salimi [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, Rasht, Iran
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 04期
关键词：
complex Helmholtz equation; iterative method; complex linear systems; symmetric positive definite; double-step method; HERMITIAN SPLITTING METHODS; ITERATIVE METHOD; SYMMETRIC SYSTEM;
D O I：
10.15672/hujms.494876
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new double-step iteration method for solving the systems of linear equations that arise from finite difference discretizations of the complex Helmholtz equations. Convergence analysis of the method is discussed. An upper bound on the spectral radius of the iteration matrix of the method is presented and the parameter which minimizes this upper bound is computed. The proposed method is compared theoretically and numerically with some existing methods.
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页码：1245 / 1260
页数：16
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