A NEW DIVERGENCE-FREE INTERPOLATION OPERATOR WITH APPLICATIONS TO THE DARCY-STOKES-BRINKMAN EQUATIONS
文献类型：期刊论文
| 作者 | Xu, Xuejun1 ; Zhang, Shangyou2
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2010 |
| 卷号 | 32期号:2页码:855-874 |
| 关键词 | mixed finite element Stokes equations Darcy's law Brinkman equations divergence-free element |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/090751049 |
| 英文摘要 | A new local interpolation operator, preserving the divergence, is constructed explicitly for the Hsieh-Clough-Tocher divergence-free element. A divergence-free finite element method is applied to the Darcy-Stokes-Brinkman flow in a mixed region of both free and porous media. The method is of optimal order as well for the Darcy flow as for the Stokes flow (which is not the case for most other finite elements). Compared to the existing nonconforming elements, the divergence-free element method provides a continuous solution for the velocity which is also an orthogonal projection within a Hilbert subspace of the true velocity. Numerical tests supporting the theory are presented. |
| 资助项目 | State Key Laboratory of Scientific and Engineering Computing, CAS ; NSF of China[10731060] ; [2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277837100018 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9641]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Xuejun |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Univ Delaware, Dept Math Sci, Newark, DE 19716 USA |
| 推荐引用方式 GB/T 7714 | Xu, Xuejun,Zhang, Shangyou. A NEW DIVERGENCE-FREE INTERPOLATION OPERATOR WITH APPLICATIONS TO THE DARCY-STOKES-BRINKMAN EQUATIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2010,32(2):855-874. |
| APA | Xu, Xuejun,&Zhang, Shangyou.(2010).A NEW DIVERGENCE-FREE INTERPOLATION OPERATOR WITH APPLICATIONS TO THE DARCY-STOKES-BRINKMAN EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,32(2),855-874. |
| MLA | Xu, Xuejun,et al."A NEW DIVERGENCE-FREE INTERPOLATION OPERATOR WITH APPLICATIONS TO THE DARCY-STOKES-BRINKMAN EQUATIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 32.2(2010):855-874. |
入库方式： OAI收割
来源：数学与系统科学研究院
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