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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
ISSN0254-9409
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
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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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