CSpace  > 国家数学与交叉科学中心
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids
Zhang, Shangyou1; Zhang, Shuo2,3
2017-12-01
Source PublicationCALCOLO
ISSN0008-0624
Volume54Issue:4Pages:1403-1417
AbstractThis 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.
KeywordStokes problem Mixed finite element Continuous quadratic velocity Discontinuous pressure Hexahedral grid Tetrahedral grid
DOI10.1007/s10092-017-0235-2
Language英语
Funding ProjectNational Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; National Natural Science Foundation of China (NSFC)[11571023] ; NSFC[11471026]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000416357700013
PublisherSPRINGER-VERLAG ITALIA SRL
Citation statistics
Document Type期刊论文
Identifierhttp://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 AuthorZhang, Shuo
Affiliation1.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.
Files in This Item: Download All
File Name/Size DocType Version Access License
Zhang-Zhang2017_Arti(1589KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhang, Shangyou]'s Articles
[Zhang, Shuo]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, Shangyou]'s Articles
[Zhang, Shuo]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, Shangyou]'s Articles
[Zhang, Shuo]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: Zhang-Zhang2017_Article_C00P22P00StokesFiniteElementPa.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.