The coupling of natural boundary element and finite element method for 2D hyperbolic equations

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	The coupling of natural boundary element and finite element method for 2D hyperbolic equations
	Dehao Yu 1; Qikui Du 2
	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.