CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD

doi:10.1051/m2an/2009036

	CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD
	Becker, Roland 1,2; Mao, Shipeng3,4
	2009-11-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	43 期号:6 页码:1203-1219
摘要	We prove convergence and quasi-optimal complexity of an adaptive finite element algorithm on triangular meshes with standard mesh refinement. Our algorithm is based on an adaptive marking strategy. In each iteration, a simple edge estimator is compared to an oscillation term and the marking of cells for refinement is done according to the dominant contribution only. In addition, we introduce an adaptive stopping criterion for iterative solution which compares an estimator for the iteration error with the estimator for the discretization error.
关键词	Adaptive finite elements a posteriori error analysis convergence of adaptive algorithms complexity estimates
DOI	10.1051/m2an/2009036
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000271164700008
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8473
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.Univ Pau & Pays Adour, INRIA Bordeaux Sud Ouest Concha, F-64013 Pau, France 3.Chinese Acad Sci, Inst Computat Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, INRIA Bordeaux Sud Ouest Concha, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Becker, Roland,Mao, Shipeng. CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2009,43(6):1203-1219.
APA	Becker, Roland,&Mao, Shipeng.(2009).CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,43(6),1203-1219.
MLA	Becker, Roland,et al."CONVERGENCE AND QUASI-OPTIMAL COMPLEXITY OF A SIMPLE ADAPTIVE FINITE ELEMENT METHOD".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 43.6(2009):1203-1219.