On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations

doi:10.1137/S0036142901399604

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	On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations
	Duan, HY; Liang, GP
	2003
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	41 期号:6 页码:2114-2130
摘要	This paper provides a new strict mathematical analysis for the velocity-pressure-vorticity least-squares methods (i.e., the standard linear element method and the Bochev-Gunzburger method) for the 3D Stokes problem with homogeneous velocity boundary condition. The analysis shows that, in general, the divergence of the vorticity does not affect the coerciveness and the accuracy. This admits the use of the edge element for the vorticity to reduce the number of whole unknowns. Moreover, the analysis also shows that, in the standard linear element method, the L-2 error bound for the velocity is O(h(3/2)) generally. Numerical examples are presented.
关键词	Stokes equation velocity-pressure-vorticity least-squares mixed finite element method Aubin-Nitsche duality argument
DOI	10.1137/S0036142901399604
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000188247500006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18680
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HY
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HY,Liang, GP. On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2003,41(6):2114-2130.
APA	Duan, HY,&Liang, GP.(2003).On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,41(6),2114-2130.
MLA	Duan, HY,et al."On the velocity-pressure-vorticity least-squares mixed finite element method for the 3D Stokes equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 41.6(2003):2114-2130.