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定常Stokes问题的罚函数有限元方法

王鸣   

  1. 大连工学院应用数学所
  • 出版日期:1987-03-14 发布日期:1987-03-14

王鸣. 定常Stokes问题的罚函数有限元方法[J]. 计算数学, 1987, 9(3): 309-318.

ON THE PENALTY FINITE ELEMENT METHODS FOR THE STATIONARY STOKESIAN PROBLEM

  1. Wang Ming Delian Institute of Technology
  • Online:1987-03-14 Published:1987-03-14
§1.引言 本文讨论定常Stokes问题的几种罚函数有限元方法.设Ω是R~n中的有界区域,且具有Lipschita连续的边界?Ω.令非f∈(L~2(Ω))~n,则定常Stokes方程的齐次Dirichlet边值问题可描述如下:求(u,p)∈(H_0~1(Ω))~n×L~2(Ω),满足
This paper is devoted to the penalty finite element methods for the stationary stokesian pro-blem. It is shown that under certain conditions the RIP method can be derived from the quasi-conforming element techniques and that the later are more natural and rational and simpler aswell. The error estimates of these techniques are also discussed. In the end, an example isgiven.
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