STOCHASTIC CONVERGENCE OF A NONCONFORMING FINITE ELEMENT METHOD FOR THE THIN PLATE SPLINE SMOOTHER FOR OBSERVATIONAL DATA
文献类型：期刊论文
| 作者 | Chen, Zhiming1,2 ; Tuo, Rui3; Zhang, Wenlong2
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2018 |
| 卷号 | 56期号:2页码:635-659 |
| 关键词 | thin plate spline Morley element stochastic convergence optimal parameter choice |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/16M109630X |
| 英文摘要 | The thin plate spline smoother is a classical model for finding a smooth function from the knowledge of its observation at scattered locations which may have random noises. We consider a nonconforming Morley finite element method to approximate the model. We prove the stochastic convergence of the finite element method which characterizes the tail property of the probability distribution function of the finite element error. We also propose a self-consistent iterative algorithm to determine the smoothing parameter based on our theoretical analysis. Numerical examples are included to confirm the theoretical analysis and to show the competitive performance of the self consistent algorithm for finding the smoothing parameter. |
| 资助项目 | China NSF[113211061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431189500001 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30291]  |
| 专题 | 计算数学与科学工程计算研究所 系统科学研究所 |
| 通讯作者 | Chen, Zhiming |
| 作者单位 | 1.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci, LSEC,Inst Computat Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming,Tuo, Rui,Zhang, Wenlong. STOCHASTIC CONVERGENCE OF A NONCONFORMING FINITE ELEMENT METHOD FOR THE THIN PLATE SPLINE SMOOTHER FOR OBSERVATIONAL DATA[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2018,56(2):635-659. |
| APA | Chen, Zhiming,Tuo, Rui,&Zhang, Wenlong.(2018).STOCHASTIC CONVERGENCE OF A NONCONFORMING FINITE ELEMENT METHOD FOR THE THIN PLATE SPLINE SMOOTHER FOR OBSERVATIONAL DATA.SIAM JOURNAL ON NUMERICAL ANALYSIS,56(2),635-659. |
| MLA | Chen, Zhiming,et al."STOCHASTIC CONVERGENCE OF A NONCONFORMING FINITE ELEMENT METHOD FOR THE THIN PLATE SPLINE SMOOTHER FOR OBSERVATIONAL DATA".SIAM JOURNAL ON NUMERICAL ANALYSIS 56.2(2018):635-659. |
入库方式： OAI收割
来源：数学与系统科学研究院
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