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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 Source Publication SIAM JOURNAL ON NUMERICAL ANALYSIS ISSN 0036-1429 Volume 41Issue:6Pages:2114-2130 Abstract 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. Keyword Stokes equation velocity-pressure-vorticity least-squares mixed finite element method Aubin-Nitsche duality argument DOI 10.1137/S0036142901399604 Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000188247500006 Publisher SIAM PUBLICATIONS Citation statistics Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/18680 Collection 中国科学院数学与系统科学研究院 Affiliation Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China Recommended CitationGB/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.
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