AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP
文献类型：期刊论文
| 作者 | Liu, Yongxiang1,2,4; Xu, Xuejun2,3
|
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2019-04-10 |
| 卷号 | 53期号:1页码:249-268 |
| 关键词 | optimized Schwarz method the Helmholtz equation overlapping size |
| ISSN号 | 0764-583X |
| DOI | 10.1051/m2an/2018061 |
| 英文摘要 | 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. |
| 资助项目 | National Science Foundation of China[11671302] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464277200004 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34512]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Liu, Yongxiang |
| 作者单位 | 1.China Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 4.China Acad Engn Phys, Microsyst & Terahertz Res Ctr, Chengdu 610200, Sichuan, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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