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

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