Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DTN mapping
文献类型:期刊论文
作者 | Yang, JE; Yu, DH |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
![]() |
出版日期 | 2006-05-01 |
卷号 | 24期号:3页码:323-342 |
关键词 | domain decomposition nature boundary element nonmatching grids weak continuity D-N alternating dual basis projection operator error estimate |
ISSN号 | 0254-9409 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000237878800008 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2623] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yang, JE |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Yang, JE,Yu, DH. Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DTN mapping[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(3):323-342. |
APA | Yang, JE,&Yu, DH.(2006).Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DTN mapping.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(3),323-342. |
MLA | Yang, JE,et al."Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DTN mapping".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.3(2006):323-342. |
入库方式: OAI收割
来源:数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。