The coupling of natural boundary element and finite element method for 2D hyperbolic equations
文献类型：期刊论文
| 作者 | Yu, DH; Du, QK |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 21期号:5页码:585-594 |
| 关键词 | hyperbolic equation natural boundary reduction finite element coupling exterior problem |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we investigate the coupling of natural boundary element and finite element 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 artificial boundary Gamma(R) 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 Omega(2) outside circle of radius R. The coupled variational formulation is given. Only the function itself, not its normal derivative at artificial boundary Gamma(R), 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 discusses 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185366900004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18716]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, DH |
| 作者单位 | 1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, DH,Du, QK. The coupling of natural boundary element and finite element method for 2D hyperbolic equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(5):585-594. |
| APA | Yu, DH,&Du, QK.(2003).The coupling of natural boundary element and finite element method for 2D hyperbolic equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(5),585-594. |
| MLA | Yu, DH,et al."The coupling of natural boundary element and finite element method for 2D hyperbolic equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.5(2003):585-594. |
入库方式： OAI收割
来源：数学与系统科学研究院
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