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Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation

Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation

Authors :
Yanan Zhu
Naimin Zhang
Zhen Chao
Source :
Mathematics, Vol 12, Iss 12, p 1888 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

In this paper, we study the improved block splitting (IBS) iteration method and its accelerated variant, the accelerated improved block splitting (AIBS) iteration method, for solving linear systems of equations stemming from the discretization of the complex Helmholtz equation. We conduct a comprehensive convergence analysis and derive optimal iteration parameters aimed at minimizing the spectral radius of the iteration matrix. Through numerical experiments, we validate the efficiency of both iteration methods.

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
12
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.0f41cd958a114671946beb5509161fa3
Document Type :
article
Full Text :
https://doi.org/10.3390/math12121888