KMS Of Academy of mathematics and systems sciences, CAS
DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING | |
Jue Yang; Dehao Yu | |
2006 | |
发表期刊 | Journal of Computational Mathematics |
ISSN | 0254-9409 |
卷号 | 24期号:3页码:323 |
摘要 | In this paper, we are concerned with a non-overlapping domain decomposition method (DDM) for exterior transmission problems in the plane. Based on the natural boundary integral operator, we combine the DDM with a Dirichlet-to-Neumann (DtN) mapping and provide the numerical analysis with nonmatching grids. The weak continuity of the approximation solutions on the interface is imposed by a dual basis multiplier. We show that this multiplier space can generate optimal error estimate and obtain the corresponding rate of convergence. Finally, several numerical examples confirm the theoretical results. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/2624 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Jue Yang,Dehao Yu. DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING[J]. Journal of Computational Mathematics,2006,24(3):323. |
APA | Jue Yang,&Dehao Yu.(2006).DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING.Journal of Computational Mathematics,24(3),323. |
MLA | Jue Yang,et al."DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING".Journal of Computational Mathematics 24.3(2006):323. |
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