A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane

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	A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane
	Liu, Dongjie; Yu, Dehao
	2008-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	26 期号:3 页码:378-389
摘要	In this paper, the finite element method and the boundary element method are combined to solve numerically an exterior quasilinear elliptic problem. Based on an appropriate transformation and the Fourier series expansion, the exact quasilinear artificial boundary conditions and a series of the corresponding approximations for the given problem are presented. Then the original problem is reduced into an equivalent problem defined in a bounded computational domain. We provide error estimate for the Galerkin method. Numerical results are presented to illustrate the theoretical results.
关键词	boundary element coupling finite element quasilinear problems
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000256648500010
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6636
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Dongjie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Dongjie,Yu, Dehao. A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(3):378-389.
APA	Liu, Dongjie,&Yu, Dehao.(2008).A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(3),378-389.
MLA	Liu, Dongjie,et al."A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.3(2008):378-389.