A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations

doi:10.1007/s10915-022-01974-w

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	A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations
	Liu, Wenjia 1,2; Zhang, Shuo 1,2
	2022-10-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	93 期号:1 页码:31
摘要	In this study, we investigate how low the degree of polynomials can be to construct a stable conservative pair for incompressible Stokes problems that works on general triangulations. We propose a finite element pair that uses a slightly enriched piecewise linear polynomial space for velocity and piecewise constant space for pressure. The pair is illustrated to be a lowest-degree stable conservative pair for Stokes problems on general triangulations.
关键词	Incompressible stokes equations Inf-sup condition Conservative scheme Pressure-robust discretization Lowest degree
DOI	10.1007/s10915-022-01974-w
收录类别	SCI
语种	英语
资助项目	NSFC[11871465] ; CAS[XDB41000000]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000850828800003
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60987
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Shuo
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Wenjia,Zhang, Shuo. A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,93(1):31.
APA	Liu, Wenjia,&Zhang, Shuo.(2022).A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations.JOURNAL OF SCIENTIFIC COMPUTING,93(1),31.
MLA	Liu, Wenjia,et al."A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations".JOURNAL OF SCIENTIFIC COMPUTING 93.1(2022):31.