CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

	CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
	He, Lianhua 1,2; Zhou, Aihui1
	2011
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	8 期号:4 页码:615-640
摘要	In this paper, we study adaptive finite element approximations in a perturbation framework, which makes use of the existing adaptive finite element analysis of a linear symmetric elliptic problem. We analyze the convergence and complexity of adaptive finite element methods for a class of elliptic partial differential equations when the initial finite element mesh is sufficiently fine. For illustration, we apply the general approach to obtain the convergence and complexity of adaptive finite element methods for a nonsymmetric problem, a nonlinear problem as well as an unbounded coefficient eigenvalue problem.
关键词	Adaptive finite element convergence complexity eigenvalue nonlinear nonsymmetric unbounded
语种	英语
资助项目	National Science Foundation of China[10871198] ; National Science Foundation of China[10971059] ; National Basic Research Program of China[2005CB321704] ; National High Technology Research and Development Program of China[2009AA01A134]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000297509600005
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11495
专题	计算数学与科学工程计算研究所
通讯作者	He, Lianhua
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Lianhua,Zhou, Aihui. CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2011,8(4):615-640.
APA	He, Lianhua,&Zhou, Aihui.(2011).CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,8(4),615-640.
MLA	He, Lianhua,et al."CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 8.4(2011):615-640.