The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain
文献类型：期刊论文
| 作者 | Yu, De-hao1; Huang, Hong-ying2 |
| 刊名 | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 35期号:3页码:227-252 |
| 关键词 | Artificial boundary method Dirichlet to Neumann mapping Finite element method Natural integral operator Nonlinear interface problem |
| ISSN号 | 1526-1492 |
| 英文摘要 | In this paper, we apply the artificial boundary method to solve a three-dimensional nonlinear interface problem on an unbounded domain. A spherical or ellipsoidal surface as the artificial boundary is introduced. The exact artificial boundary conditions are derived explicitly in terms of an infinite series and then the well-posedness of the coupled weak formulation in a bounded domain, which is equivalent to the original problem in the unbounded domain, is obtained. The error estimate depends on the mesh size, the term after truncating the infinite series and the location of the artificial boundary. Some numerical examples are presented to demonstrate the effectiveness and accuracy of this method. |
| 资助项目 | National Basic Research Program of China[G19990328] ; National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; Research Project of Zhejiang Ocean University[X08M013] ; Research Project of Zhejiang Ocean University[X08Z04] ; Scientific Research Projects of Zhejiang Province Science and Technology Department[2008C13068] |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000262058400003 |
| 出版者 | TECH SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6379]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, De-hao |
| 作者单位 | 1.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, De-hao,Huang, Hong-ying. The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2008,35(3):227-252. |
| APA | Yu, De-hao,&Huang, Hong-ying.(2008).The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,35(3),227-252. |
| MLA | Yu, De-hao,et al."The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 35.3(2008):227-252. |
入库方式： OAI收割
来源：数学与系统科学研究院
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