CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids

doi:10.1007/s10092-017-0235-2

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	CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids
	Zhang, Shangyou 1; Zhang, Shuo2,3
	2017-12-01
发表期刊	CALCOLO
ISSN	0008-0624
卷号	54 期号:4 页码:1403-1417
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.
关键词	Stokes problem Mixed finite element Continuous quadratic velocity Discontinuous pressure Hexahedral grid Tetrahedral grid
DOI	10.1007/s10092-017-0235-2
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000416357700013
出版者	SPRINGER-VERLAG ITALIA SRL
引用统计
文献类型	期刊论文
条目标识符	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.

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