定常Stokes方程的五参数四边形有限元法  

A Finite Element Method of 5-parameters Quadrilateral for the Stationary Stokes Equations

作　　者：李清善[1] 

机构地区：[1]郑州大学学报编辑部,河南郑州450052

出　　处：《南阳师范学院学报》2002年第4期11-15,共5页Journal of Nanyang Normal University

基　　金：国家自然科学基金资助项目 (No 10 1710 92)

摘　　要：研究试探函数不满足divν =0的定常Stokes方程。利用Falk的思想 ,即在变分方程中增加一个罚函数项 ,将五参数四边形单元应用于定常Stokes方程 ,得到了解的H1 (Ω)模的误差收敛阶为O(h)。A finite element method of 5 parameters quadrilateral for the stationary Stokes equations which eliminates the divv=0 restriction on the trial functions is studied.Following the Falk's idea,that is ,adding a penalty function to the variational equation,we apply the element to s tationary Stokes equations,and obtain the optimal O( h ) order of convergence estimate for error in the H 1(Ω) norm

关 键 词：定常STOKES方程 五参数 四边形元 误差估计 

分 类 号：O242.21[理学—计算数学]