CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids
文献类型：期刊论文
| 作者 | Zhang, Shangyou1; Zhang, Shuo2,3
|
| 刊名 | CALCOLO
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 54期号:4页码:1403-1417 |
| 关键词 | Stokes problem Mixed finite element Continuous quadratic velocity Discontinuous pressure Hexahedral grid Tetrahedral grid |
| ISSN号 | 0008-0624 |
| DOI | 10.1007/s10092-017-0235-2 |
| 英文摘要 | This paper presents a procedure to construct stable finite element pair for three dimensional incompressible Stokes problem. It is proved that, the quadratic-constant finite element pair, though not stable in general, is uniformly stable on a certain family of tetrahedral grids, namely some kind of sub-hexahedron tetrahedral grids. The sub-hexahedron tetrahedral grid is defined by refining each eight-vertex hexahedron of a certain hexahedral grid into twelve tetrahedra with one added vertex inside the hexahedron, while the hexahedral grid is a partition of a polyhedral domain where each (non-flat face) hexahedron is defined by a tri-linear mapping on the unit cube with eight vertices. |
| 资助项目 | National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC)[11571023] ; NSFC[11471026] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000416357700013 |
| 出版者 | SPRINGER-VERLAG ITALIA SRL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/119]  |
| 专题 | 国家数学与交叉科学中心 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.Univ Delaware, Dept Math Sci, Newark, DE 19716 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Shangyou,Zhang, Shuo. CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids[J]. CALCOLO,2017,54(4):1403-1417. |
| APA | Zhang, Shangyou,&Zhang, Shuo.(2017).CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids.CALCOLO,54(4),1403-1417. |
| MLA | Zhang, Shangyou,et al."CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids".CALCOLO 54.4(2017):1403-1417. |
入库方式： OAI收割
来源：数学与系统科学研究院
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