A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA
文献类型：期刊论文
| 作者 | Chen, Zhiming1,5; Tuo, Rui3,4; Zhang, Wenlong2,5 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2020 |
| 卷号 | 38期号:2页码:355-374 |
| 关键词 | Observational boundary data Elliptic equation Sub-Gaussian random variable |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1810-m2017-0168 |
| 英文摘要 | In this paper we propose a finite element method for solving elliptic equations with observational Dirichlet boundary data which may subject to random noises. The method is based on the weak formulation of Lagrangian multiplier and requires balanced oversampling of the measurements of the boundary data to control the random noises. We show the convergence of the random finite element error in expectation and, when the noise is sub-Gaussian, in the Orlicz psi(2)-norm which implies the probability that the finite element error estimates are violated decays exponentially. Numerical examples are included. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences, CAS ; China NSF[118311061] ; China NSF[11501551] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000514843500006 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50904]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Zhiming |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Southern Univ Sci & Technol, Shenzhen 518055, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 4.Texas A&M Univ, Dept Ind & Syst Engn, College Stn, TX 77843 USA 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming,Tuo, Rui,Zhang, Wenlong. A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2020,38(2):355-374. |
| APA | Chen, Zhiming,Tuo, Rui,&Zhang, Wenlong.(2020).A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA.JOURNAL OF COMPUTATIONAL MATHEMATICS,38(2),355-374. |
| MLA | Chen, Zhiming,et al."A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA".JOURNAL OF COMPUTATIONAL MATHEMATICS 38.2(2020):355-374. |
入库方式： OAI收割
来源：数学与系统科学研究院
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