一类发展方程的矩形非协调元逼近方法  

Rectangular nonconforming finite element method for a class of nonstationary equations

作　　者：王健[1] 崔群法[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2011年第2期19-23,共5页Journal of Anhui University(Natural Science Edition)

基　　金：河南省自然科学基金资助项目(0511013800);河南省教育厅自然科学研究基金资助项目(2007110001)

摘　　要：讨论一类发展方程——Navier-Stokes方程的矩形非协调有限元逼近方法.在区域剖分不要求满足通常的正则性假设或拟一致假设情形下,通过相应的矩形元及Navier-Stokes投影,得到与传统有限元相同的最优误差估计结果,从而扩展了有限元方法的工程应用范围.The paper mainly discussed the rectangular nonconforming finite element methods for a class of nonstationary equations——Navier-Stokes equation.It showed that,without the usual regularity or quasi-uniform assumption,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 there by the application of finite element methods could be extended.

关 键 词：NAVIER-STOKES方程 非协调元 Navier-Stokes投影 最优误差估计 

分 类 号：O242.21[理学—计算数学]