KMS Of Academy of mathematics and systems sciences, CAS
| AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP | |
Liu, Yongxiang1,2,4; Xu, Xuejun3,4
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| 2019-04-10 | |
| Source Publication | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
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| ISSN | 0764-583X |
| Volume | 53Issue:1Pages:249-268 |
| Abstract | In this paper we study how the overlapping size influences the convergence rate of an optimized Schwarz domain decomposition (DD) method with relaxation in the two subdomain case for the Helmholtz equation. Through choosing suitable parameters, we find that the convergence rate is independent of the wave number k and mesh size h, but sensitively depends on the overlapping size. Furthermore, by careful analysis, we obtain that the convergence behavior deteriorates with the increase of the overlapping size. Numerical results which confirm our theory are given. |
| Keyword | optimized Schwarz method the Helmholtz equation overlapping size |
| DOI | 10.1051/m2an/2018061 |
| Language | 英语 |
| Funding Project | National Science Foundation of China[11671302] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000464277200004 |
| Publisher | EDP SCIENCES S A |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34513 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Liu, Yongxiang |
| Affiliation | 1.China Acad Engn Phys, Microsyst & Terahertz Res Ctr, Chengdu 610200, Sichuan, Peoples R China 2.China Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, POB 2719, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Liu, Yongxiang,Xu, Xuejun. AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2019,53(1):249-268. |
| APA | Liu, Yongxiang,&Xu, Xuejun.(2019).AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,53(1),249-268. |
| MLA | Liu, Yongxiang,et al."AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 53.1(2019):249-268. |
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