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

doi:10.1137/070701479

	A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY
	Becker, Roland 1; Mao, Shipeng2 ; Shi, Zhongci2
	2010
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	47 期号:6 页码:4639-4659
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.
关键词	adaptive methods nonconforming finite elements a posteriori error estimation convergence rate computational complexity
DOI	10.1137/070701479
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000277836100027
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10660
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.