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 CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids Zhang, Shangyou1; Zhang, Shuo2,3 2017-12-01 Source Publication CALCOLO 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 USA2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China Recommended CitationGB/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.