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

文献类型：期刊论文

作者Becker, Roland1,2; Mao, Shipeng3,4
刊名ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
出版日期2009-11-01
卷号43期号:6页码:1203-1219
关键词Adaptive finite elements a posteriori error analysis convergence of adaptive algorithms complexity estimates
ISSN号0764-583X
DOI10.1051/m2an/2009036
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000271164700008
出版者EDP SCIENCES S A
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8472]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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