Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM

	Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM
	Hu, QY; Yu, DH
	2001-04-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	37 期号:1-2 页码:127-143
摘要	In this paper, based on the natural boundary reduction method advanced by Feng and Yu, we discuss a coupled FEM-BEM for Dirichlet exterior problems. In this method, the finite element grids consist of fine and coarse grids (i.e., composite grids), so that the singularity at the corner points can be handled conveniently by the fast adaptive composite grid method (FAC). We prove that the corresponding approximation has optimal error estimates. To solve the coupled system efficiently, we propose an iteration that combines FAC with classical steepest descent. We, show that this method converges with a rate that is bounded independent of the mesh sizes, (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
关键词	natural boundary reduction composite grid error estimate iteration algorithm convergence rate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000167595600007
出版者	ELSEVIER SCIENCE 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/16022
专题	计算数学与科学工程计算研究所
通讯作者	Hu, QY
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Yu, DH. Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM[J]. APPLIED NUMERICAL MATHEMATICS,2001,37(1-2):127-143.
APA	Hu, QY,&Yu, DH.(2001).Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM.APPLIED NUMERICAL MATHEMATICS,37(1-2),127-143.
MLA	Hu, QY,et al."Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM".APPLIED NUMERICAL MATHEMATICS 37.1-2(2001):127-143.