Residential College | false |
Status | 已發表Published |
Two-parameter modified matrix splitting iteration method for Helmholtz equation | |
Li, Tian Yi1; Chen, Fang2; Fang, Zhi Wei3; Sun, Hai Wei1; Wang, Zhi4 | |
2024 | |
Source Publication | International Journal of Computer Mathematics |
ISSN | 0020-7160 |
Abstract | For effectively solving the nonsymmetric and indefinite linear system originating from the discretized Helmholtz equation with complex wavenumber, we propose a two-parameter modified matrix splitting iteration method. We establish the asymptotic convergence theory for this method and demonstrate its convergence under certain conditions. The proposed iteration method leads to a new preconditioner that can be efficiently inverted by using the discrete sine transform. Numerical experiments are carried out to show that the new preconditioner significantly improves the convergence rate of the GMRES method, which results in effective preconditioned GMRES method for solving the Helmholtz equation of high wavenumber. |
Keyword | Complex Linear System Convergence Property Helmholtz Equation Matrix Splitting Iteration Preconditioning |
DOI | 10.1080/00207160.2023.2301570 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:001137436300001 |
Publisher | TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND |
Scopus ID | 2-s2.0-85181503307 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Sun, Hai Wei |
Affiliation | 1.Department of Mathematics, University of Macau, Macao 2.School of Applied Science, Beijing Information Science and Technology University, Beijing, China 3.School of Mathematics and Big Data, Foshan University, Foshan, China 4.Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, China |
First Author Affilication | University of Macau |
Corresponding Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Li, Tian Yi,Chen, Fang,Fang, Zhi Wei,et al. Two-parameter modified matrix splitting iteration method for Helmholtz equation[J]. International Journal of Computer Mathematics, 2024. |
APA | Li, Tian Yi., Chen, Fang., Fang, Zhi Wei., Sun, Hai Wei., & Wang, Zhi (2024). Two-parameter modified matrix splitting iteration method for Helmholtz equation. International Journal of Computer Mathematics. |
MLA | Li, Tian Yi,et al."Two-parameter modified matrix splitting iteration method for Helmholtz equation".International Journal of Computer Mathematics (2024). |
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