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.
引用
收藏
页码：1245 / 1260
页数：16
相关论文
共 50 条
  • [1] The double-step scale splitting method for solving complex Sylvester matrix equation
    Dehghan, Mehdi
    Shirilord, Akbar
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (03):
  • [2] The double-step scale splitting method for solving complex Sylvester matrix equation
    Mehdi Dehghan
    Akbar Shirilord
    Computational and Applied Mathematics, 2019, 38
  • [3] Solving complex Sylvester matrix equation by accelerated double-step scale splitting (ADSS) method
    Mehdi Dehghan
    Akbar Shirilord
    Engineering with Computers, 2021, 37 : 489 - 508
  • [4] Solving complex Sylvester matrix equation by accelerated double-step scale splitting (ADSS) method
    Dehghan, Mehdi
    Shirilord, Akbar
    ENGINEERING WITH COMPUTERS, 2021, 37 (01) : 489 - 508
  • [5] A new wavelet method for solving the Helmholtz equation with complex solution
    Heydari, M. H.
    Hooshmandasl, M. R.
    Ghaini, F. M. Maalek
    Marji, M. Fatehi
    Dehghan, R.
    Memarian, M. H.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 32 (03) : 741 - 756
  • [6] A NEW METHOD FOR SOLVING THE MODIFIED HELMHOLTZ EQUATION
    Huy Nguyen, T.
    Phan Van Tri
    Ho Vu
    Ngo Van Hoa
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (04): : 6 - 17
  • [7] Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems
    Mehdi Dehghan
    Akbar Shirilord
    Numerical Algorithms, 2020, 83 : 281 - 304
  • [8] A dual-parameter double-step splitting iteration method for solving complex symmetric linear equations
    Li, Beibei
    Cui, Jingjing
    Huang, Zhengge
    Xie, Xiaofeng
    APPLICATIONS OF MATHEMATICS, 2024, 69 (03) : 311 - 337
  • [9] Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems
    Dehghan, Mehdi
    Shirilord, Akbar
    NUMERICAL ALGORITHMS, 2020, 83 (01) : 281 - 304
  • [10] Two Efficient Lopsided Double-Step Methods for Solving Complex Symmetric Linear Systems
    Xiao, Xiao-Yong
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (04)
12345