Convergence of a standard adaptive nonconforming finite element method with optimal complexity
文献类型：期刊论文
| 作者 | Mao, Shipeng1 ; Zhao, Xuying1,2; Shi, Zhongci1
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2010-07-01 |
| 卷号 | 60期号:7页码:673-688 |
| 关键词 | Adaptive methods Nonconforming finite elements A posteriori error estimation Convergence rate Optimal computational complexity |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2010.03.010 |
| 英文摘要 | In this paper, we analyze the convergence and optimal complexity of the usual simple adaptive nonconforming finite element method by using Dorfler collective marking strategy. Based on several basic ingredients, such as the estimator reduction, quasi-orthogonality, local upper bound and so on, we eventually show the convergence of the adaptive algorithm by establishing the reduction of some total error and the quasi-optimal convergence rate. Our analysis does not need the relation between the nonconforming P(1) element and the mixed Raviart-Thomas element. The results of numerical experiments confirm that our adaptive algorithm is optimal. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278860100002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9318]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhao, Xuying |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, 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 | Mao, Shipeng,Zhao, Xuying,Shi, Zhongci. Convergence of a standard adaptive nonconforming finite element method with optimal complexity[J]. APPLIED NUMERICAL MATHEMATICS,2010,60(7):673-688. |
| APA | Mao, Shipeng,Zhao, Xuying,&Shi, Zhongci.(2010).Convergence of a standard adaptive nonconforming finite element method with optimal complexity.APPLIED NUMERICAL MATHEMATICS,60(7),673-688. |
| MLA | Mao, Shipeng,et al."Convergence of a standard adaptive nonconforming finite element method with optimal complexity".APPLIED NUMERICAL MATHEMATICS 60.7(2010):673-688. |
入库方式： OAI收割
来源：数学与系统科学研究院
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