试探函数不满足div=0的定常Stokes方程的类Wilson元  

Quasi-Wilson Element for Stationary Stokes Equations with Trial Functions not to Satisfy div=0

作　　者：石东洋[1] 陈绍春[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《郑州大学学报（自然科学版）》2001年第4期19-23,共5页Journal of Zhengzhou University (Natural Science)

基　　金：国家自然科学基金资助项目 ( 198710 79);河南省自然科学基金资助项目

摘　　要：利用研究二阶问题的非协调类 Wilson任意四边形单元的特殊收敛性 ,通过新的技巧 ,并基于 Falk等人的基础 ,讨论了类 Wilson元对定常 Stokes方程逼近的一种不需要试探函数满足 divu =0条件的有限元方法 .同时给出了与传统协调元及非协调元完全相同的最优误差估计 。Based on Falk's work and by using special convergence of nonconforming quasi-Wilson arbitrary quadrilateral element for second order problems, and by introducing new tricks, a kind of quasi-Wilson finite element method for Stokes equations is proposed in which the trial functions do not satisfy the condition divu=0. At the same time, the same optimal error estimates as that of conventional conforming and nonconforming finite element are obtained. Thus, the application scope of quasi-Wilson element is extended.

关 键 词：类WILSON元 特殊收敛性 STOKES方程 最优误差设计 有限元法 

分 类 号：O241.82[理学—计算数学]