OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION
文献类型：期刊论文
| 作者 | Wang, Fei1,2; Zhang, Shuo3
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2018 |
| 卷号 | 36期号:5页码:693-717 |
| 关键词 | Interface problems Extended finite element methods Error estimates Nitsche's scheme Quadratic element |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1703-m2015-0340 |
| 英文摘要 | In this paper, we study Nitsche extended finite element method (XFEM) for the interface problem of a two dimensional diffusion equation. Specifically, we study the quadratic XFEM scheme on some shape-regular family of grids and prove the optimal convergence rate of the scheme with respect to the mesh size. Main efforts are devoted onto classifying the cases of intersection between the elements and the interface and prove a weighted trace inequality for the extended finite element functions needed, and the general framework of analysing XFEM can be implemented then. |
| 资助项目 | U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials[DE-SC-0009249] ; Key Program of National Natural Science Foundation of China[91430215] ; State Key Laboratory of Scientific and Engineering Computing (LSEC) ; National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences (NCMIS) ; National Natural Science Foundation of China[11471026] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000455996800005 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32172]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Wang, Fei |
| 作者单位 | 1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.Chinese Acad Sci, LSEC, ICMSEC, NCMIS,Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Fei,Zhang, Shuo. OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2018,36(5):693-717. |
| APA | Wang, Fei,&Zhang, Shuo.(2018).OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION.JOURNAL OF COMPUTATIONAL MATHEMATICS,36(5),693-717. |
| MLA | Wang, Fei,et al."OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION".JOURNAL OF COMPUTATIONAL MATHEMATICS 36.5(2018):693-717. |
入库方式： OAI收割
来源：数学与系统科学研究院
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