定常Satokes方程的窄边四边形有限元法(英文)  

A Finite Element Method of Narrow Quadrilateral for the Stationary Stokes Equations

作　　者：李清善[1] 陈绍春[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《应用数学》2003年第1期38-41,共4页Mathematica Applicata

基　　金：TheprojectsupportedbytheNationalNaturalScienceFoundationofChina(10 1710 92 )

摘　　要：本文提出了一个试探函数不满足divv=0的定常Stokes方程的窄边四边形有限元法 ,利用窄边四边形等参有限元插值定理和Falk的思想 ,得到了H1(Ω)模误差的最优收敛估计阶O(h) .In this paper,we present a finite element method of narrow quadrilateral for the stationary Stokes equations which eliminates the divv=0 restriction on the trial functions.By using the interpolation theorem for narrow quadrilateral isoparametric finite elements and Falk's idea,the optimal O(h) order of convergence estimate is derived for the error in the H1(Ω) norm.

关 键 词：有限元方法 窄边四边形元 定常STOKES方程 加罚法 

分 类 号：O241.82[理学—计算数学]