A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid
文献类型：期刊论文
| 作者 | Chen, Yuyan1; Zhang, Shuo2
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2017-10-15 |
| 卷号 | 323页码:53-70 |
| 关键词 | Incompressible Stokes problem Nearly incompressible linear elasticity problem Stable finite element Conservative |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2017.04.011 |
| 英文摘要 | In this paper, we discuss finite element methods for the incompressible Stokes problem and the nearly incompressible linear elasticity problem. Specifically, we present a finite element pair for the incompressible Stokes problem, which satisfies the discrete inf-sup condition and the discrete Korn's inequality, and moreover, which is element-wise conservative. The pair provides a locking-free method for the nearly incompressible linear elasticity problem without reduced integration. (C) 2017 Elsevier B.V. All rights reserved. |
| 资助项目 | National Science Foundation of China (NSFC)[NSFC 91430215] ; NSFC[11101415] ; NSFC[11471026] ; SRF for ROCS, SEM, China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000402213000004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25658]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Shuo |
| 作者单位 | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Yuyan,Zhang, Shuo. A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,323:53-70. |
| APA | Chen, Yuyan,&Zhang, Shuo.(2017).A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,323,53-70. |
| MLA | Chen, Yuyan,et al."A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 323(2017):53-70. |
入库方式： OAI收割
来源：数学与系统科学研究院
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