LUO Zhen-dong, ZHU Jiang. Convergence of Simplified and Stabilized Mixed Element Formats Based on Bubble Function for the Stokes Problem[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1073-1079.
Citation: LUO Zhen-dong, ZHU Jiang. Convergence of Simplified and Stabilized Mixed Element Formats Based on Bubble Function for the Stokes Problem[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1073-1079.

Convergence of Simplified and Stabilized Mixed Element Formats Based on Bubble Function for the Stokes Problem

  • Received Date: 2000-08-30
  • Rev Recd Date: 2002-04-01
  • Publish Date: 2002-10-15
  • Two simplified and stabilized mixed element formats for the Stokes problem are derived by bubble function,and their convergence,i. e.,error analysis,are proved. These formats can save more freedom degrees than other usual formats.
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  • [1]
    Brezzi F,Douglas J.Stabilized mixed methods for the Stokes problem[J].Numer Math,1988,53(2):225-235.
    [2]
    Fix G J,Gunzburger M D,Nicolaides R A.On mixed finite element methods for the first elliptic systems[J].Numer Math,1981,37(1):29-48.
    [3]
    Neittanmki P,Picard R.On finite element approximation of the gradient for the solution of Poisson equation[J].Numer Math,1981,37(3):333-337.
    [4]
    Pehlivanov A I,Carey G F.Error estimates for least-squares finite elements[J].M2AN,1994,28(5):499-516.
    [5]
    Russo A.A posteriori error estimators for the Stokes problems[J].Appl Math Lett,1995,8(1):1-4.
    [6]
    Zhou T X,Feng M F.A least squares Petrov-Galerkin finite element method for the staionary Navier-Stokes equations[J].Math Comp,1993,60(202):531-543.
    [7]
    周天孝.基于鞍点问题对偶组合的有限元法及其理论[J].中国科学(E辑),1997,27(1):75-87.
    [8]
    Girault V,Raviart P A.Finite Element Approximations of the Navier-Stokes Equations,Theorem and Algorithms[M].Series in Computational Mathematics,Springer-Verlag,1986:1-210.
    [9]
    罗振东.有限元混合法理论基础及其应用[M].济南:山东教育出版社,1996,32-144.
    [10]
    Brezzi F,Fortin M.Mixed and Hybrid Finite Element Methods[M].New York,Berlin,Heidelberg:Springer-Verlag,1991,1-190.
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