Navier-Stokes方程的一类矩形元逼近方法  

A class of rectangular element methods for a Navier-Stokes equation

作　　者：王健[1] 

机构地区：[1]安阳师范学院数学科学学院,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2008年第3期5-8,共4页Journal of Anhui University(Natural Science Edition)

基　　金：河南省教育厅自然科学基金资助项目(2007110001)

摘　　要：讨论了Navier-Stokes方程的一类矩形非协调元方法.在区域剖分不要求满足通常的正则性条件下,通过相应矩形元及Navier-Stokes投影,得到了与传统有限元相同的最优误差估计,从而扩展了有限元的工程应用范围.In the paper, finite element methods for a Navier- Stokes equation were mainly discussed and a class of rectangular nonconforming finite element was presented that can be applied. We showed that, without the usual regularity condition, by using rectangular finite element and the Navier - Stokes projection, the same optimal error estimate as that for the traditional finite element method could be obtained. And so on, the application of finite element methods could be extended.

关 键 词：NAVIER-STOKES方程 非协调元 最优误差估计 

分 类 号：O242.21[理学—计算数学]