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

文献类型：期刊论文

作者He, Lianhua1,2; Zhou, Aihui1
刊名INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
出版日期2011
卷号8期号:4页码:615-640
关键词Adaptive finite element convergence complexity eigenvalue nonlinear nonsymmetric unbounded
ISSN号1705-5105
英文摘要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.
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
语种英语
WOS记录号WOS:000297509600005
出版者ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11494]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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