Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids

doi:10.1007/s00211-015-0749-y

	Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids
	Zhang, Shuo
	2016-06-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	133 期号:2 页码:371-408
摘要	In this paper, we construct a stable finite element pair for incompressible Stokes problem and a discrete Stokes complex associated with that pair on general quadrilateral grids. The finite element spaces involved consist of piecewise polynomials only, and the divergence-free condition is imposed in a primal formulation. These constructions can be generated onto grids that consist of both triangular and quadrilateral cells.
DOI	10.1007/s00211-015-0749-y
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000374563200007
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22702
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Shuo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo. Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids[J]. NUMERISCHE MATHEMATIK,2016,133(2):371-408.
APA	Zhang, Shuo.(2016).Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids.NUMERISCHE MATHEMATIK,133(2),371-408.
MLA	Zhang, Shuo."Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids".NUMERISCHE MATHEMATIK 133.2(2016):371-408.