KMS Of Academy of mathematics and systems sciences, CAS
The coupling of natural boundary element and finite element method for 2D hyperbolic equations | |
Dehao Yu1; Qikui Du2 | |
2003-01-01 | |
发表期刊 | Journal of Computational Mathematics |
ISSN | 0254-9409 |
卷号 | 21期号:5页码:585 |
摘要 | In this paper, we investigate the coupling of natural boundary element and finite ele-ment methods of exterior initial boundary value problems for hyperbolic equations. The governing equation is first discretized in time, leading to a time-step scheme, where an exterior elliptic problem has to be solved in each time step. Second, a circular artifi-cial boundary Fr consisting of a circle of radius R is introduced, the original problem in an unbounded domain is transformed into the nonlocal boundary value problem in a bounded subdomain. And the natural integral equation and the Poisson integral formula are obtained in the infinite domain 0,2 outside circle of radius R. The coupled variational formulation is given. Only the function itself, not its normal derivative at artificial bound-ary Tr, appears in the variational equation, so that the unknown numbers are reduced and the boundary element stiffness matrix has a few different elements. Such a coupled method is superior to the one based on direct boundary element method. This paper dis-cusses finite element discretization for variational problem and its corresponding numerical technique, and the convergence for the numerical solutions. Finally, the numerical example is presented to illustrate feasibility and efficiency of this method. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18717 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.南京师范大学 |
推荐引用方式 GB/T 7714 | Dehao Yu,Qikui Du. The coupling of natural boundary element and finite element method for 2D hyperbolic equations[J]. Journal of Computational Mathematics,2003,21(5):585. |
APA | Dehao Yu,&Qikui Du.(2003).The coupling of natural boundary element and finite element method for 2D hyperbolic equations.Journal of Computational Mathematics,21(5),585. |
MLA | Dehao Yu,et al."The coupling of natural boundary element and finite element method for 2D hyperbolic equations".Journal of Computational Mathematics 21.5(2003):585. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Dehao Yu]的文章 |
[Qikui Du]的文章 |
百度学术 |
百度学术中相似的文章 |
[Dehao Yu]的文章 |
[Qikui Du]的文章 |
必应学术 |
必应学术中相似的文章 |
[Dehao Yu]的文章 |
[Qikui Du]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论