Abstract
In this paper, we derive a new mixed element format of hexahedral elements for Navier-Stokes problem in three-dimensional space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Lou Zhen-dong, Analysis of mixed finite element method for the Navier-Stokes problem in the 3-dimensional space,Journal of Guizhou Institute of Technology,20, 1 (1991), 37–41. (in chinese)
Girault, V., Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions inR 3,Comp. Math.,51, 183 (1988), 55–74.
Li Kai-tai and Huang Ai-xiang,Finite Element Methods and Applications (II), Xi'an Jiaotong University Press, Xi'an (1987). (in Chinese).
Ciarlet, P.G.,The Finite Element Methods for Elliptic Problems, North-Hollan, Amsterdam (1978).
Department of Mathematics, Jilin University,Mathematical Analysis (Next Volume), People's Educational Press, Beijing (1979). (in Chinese).
Showalter, R.E.,Hilbert Space Methods for Partial, Differential Equations, University of Texas at Austin (1977).
Zhu Qi-ding and Lin Qun,The Superconvergence Theory for the Finite Element Method, Hunan Science Technical Press, Changsha (1987). (in Chinese).
Jiang Li-shang and Pang Zhi-yuan,The Finite Element Methods and Theoretical Base, People's Educational Press, Beijing (1980). (in Chinese).
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang
Rights and permissions
About this article
Cite this article
Zhen-dong, L. Mixed finite element method of hexahedral elements for Navier-Stokes problem. Appl Math Mech 13, 1107–1114 (1992). https://doi.org/10.1007/BF02456150
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02456150