A CONVERGENT ADAPTIVE FINITE ELEMENT METHOD WITH OPTIMAL COMPLEXITY
文献类型：期刊论文
| 作者 | Becker, Roland1; Mao, Shipeng2 ; Shi, Zhong-Ci2
|
| 刊名 | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2008 |
| 卷号 | 30页码:291-304 |
| 关键词 | adaptive finite element method a posteriori error estimator convergence rate optimal computational complexity |
| ISSN号 | 1068-9613 |
| 英文摘要 | In this paper, we introduce and analyze a simple adaptive finite element method for second order elliptic partial differential equations. The marking strategy depends on whether the data oscillation is sufficiently small compared to the error estimator in the current mesh. If the oscillation is small compared to the error estimator, we mark as many edges such that their contributions to the local estimator are at least a fixed proportion of the global error estimator (bulk criterion for the estimator). Otherwise, we reduce the oscillation by marking sufficiently many elements, such that the oscillations of the marked cells are at least a fixed proportion of the global oscillation (bulk criterion for the oscillation). This marking strategy guarantees a strict reduction of the error augmented by the oscillation term. Both convergence rates and optimal complexity of the adaptive finite element method are established, with an explicit expression of the constants in the estimates. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000267828900018 |
| 出版者 | KENT STATE UNIVERSITY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6345]  |
| 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, CNRS, UMR 5142, Lab Math Appl, F-64013 Pau, France 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Becker, Roland,Mao, Shipeng,Shi, Zhong-Ci. A CONVERGENT ADAPTIVE FINITE ELEMENT METHOD WITH OPTIMAL COMPLEXITY[J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS,2008,30:291-304. |
| APA | Becker, Roland,Mao, Shipeng,&Shi, Zhong-Ci.(2008).A CONVERGENT ADAPTIVE FINITE ELEMENT METHOD WITH OPTIMAL COMPLEXITY.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS,30,291-304. |
| MLA | Becker, Roland,et al."A CONVERGENT ADAPTIVE FINITE ELEMENT METHOD WITH OPTIMAL COMPLEXITY".ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 30(2008):291-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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