KMS Of Academy of mathematics and systems sciences, CAS
| CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids | |
Zhang, Shangyou1; Zhang, Shuo2,3
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| 2017-12-01 | |
| Source Publication | CALCOLO
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| ISSN | 0008-0624 |
| Volume | 54Issue:4Pages:1403-1417 |
| Abstract | 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. |
| Keyword | Stokes problem Mixed finite element Continuous quadratic velocity Discontinuous pressure Hexahedral grid Tetrahedral grid |
| DOI | 10.1007/s10092-017-0235-2 |
| Language | 英语 |
| Funding Project | National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC)[11571023] ; NSFC[11471026] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000416357700013 |
| Publisher | SPRINGER-VERLAG ITALIA SRL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/119 |
| Collection | 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 |
| Corresponding Author | Zhang, Shuo |
| Affiliation | 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 |
| Recommended Citation 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. |
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| Zhang-Zhang2017_Arti（1589KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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