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一类Stokes方程的最小二乘混合元方法

顾海明 羊丹平 隋树林 刘新民

顾海明, 羊丹平, 隋树林, 刘新民. 一类Stokes方程的最小二乘混合元方法[J]. 应用数学和力学, 2000, 21(5): 501-510.
引用本文: 顾海明, 羊丹平, 隋树林, 刘新民. 一类Stokes方程的最小二乘混合元方法[J]. 应用数学和力学, 2000, 21(5): 501-510.
Gu Haiming, Yang Danping, Sui Shulin, Liu Xinmin. Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J]. Applied Mathematics and Mechanics, 2000, 21(5): 501-510.
Citation: Gu Haiming, Yang Danping, Sui Shulin, Liu Xinmin. Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J]. Applied Mathematics and Mechanics, 2000, 21(5): 501-510.

一类Stokes方程的最小二乘混合元方法

基金项目: 国家教委博士点基金资助项目
详细信息
    作者简介:

    顾海明(1967~ ),男,博士,副教授.

  • 中图分类号: O241.82

Least-Squares Mixed Finite Element Method for a Class of Stokes Equation

  • 摘要: 对定常和非定常两种类型的Stokes方程建立了一类新的最小二乘混合元方法,并进行了分析,对定常的方程,采用了对uσ的不同指标的有限元空间进行计算(LBB条件不需要),得到了最优的H1L2模估计.对非定常的方程,采用了传统的Raviart-Thomas混合元空间,得到了最优的L2模估计.
  • [1] Aziz A K,Kellogg R B,Stephens A B.Least-squares methods for elliptic systems[J].Math Comp,1985,44:53~70.
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    [4] Brezzi F.On the existence,uniqueness and approximation of saddle point problems arising from Lagrange multipliers[J].RAIRO Anal Numer,1974,8:129~151.
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    [7] Pehlivanov A I,Carey G F.Error estimates for least-squares mixed finite elements[J].Math Model Numer Anal,1994,5:517~537.
    [8] Cai Z,Lazarov R,Nanteuffel T A,et al.First-order system least squares for second-order partial differential equations Part Ⅰ[J].SIAM J Numer Anal,1994,6:1785~1799.
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  • 被引次数: 0
出版历程
  • 收稿日期:  1998-09-01
  • 修回日期:  2000-01-06
  • 刊出日期:  2000-05-15

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