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A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY

文献类型：期刊论文

作者Becker, Roland1; Mao, Shipeng2; Shi, Zhongci2
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2010
卷号47期号:6页码:4639-4659
关键词adaptive methods nonconforming finite elements a posteriori error estimation convergence rate computational complexity
ISSN号0036-1429
DOI10.1137/070701479
英文摘要In this paper, we prove convergence and quasi-optimal complexity of a simple adaptive nonconforming finite element method. In each step of the algorithm, the iterative solution of the discrete system is controlled by an adaptive stopping criterion, and the local refinement is based on either a simple edge residual or a volume term, depending on an adaptive marking strategy. We prove that this marking strategy guarantees a strict reduction of the error, augmented by the volume term and an additional oscillation term, and quasi-optimal complexity of the generated sequence of meshes.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000277836100027
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10659]  
专题计算数学与科学工程计算研究所
通讯作者Becker, Roland
作者单位1.Univ Pau & Pays Adour, Lab Math Appl, F-64013 Pau, France
2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Becker, Roland,Mao, Shipeng,Shi, Zhongci. A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,47(6):4639-4659.
APA Becker, Roland,Mao, Shipeng,&Shi, Zhongci.(2010).A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(6),4639-4659.
MLA Becker, Roland,et al."A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.6(2010):4639-4659.

入库方式： OAI收割

来源：数学与系统科学研究院

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