解Navier－Stokes方程的线性协调元方法的收敛性定理

ON THE CONVERGENCE THEOREM OF THE CONFORMING LINEAR ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS

将线性协调元方法用于解Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程，对速度近似可以得到按［Ｈ１（Ω）］ｎ模的最优阶敛速估计．

By adding a term to the variational equations,Falk derived a finite element method for the stationary Stokes equations which elimi-naies the div restriction on the trial functions. we extend this method to the Navier-Stokes equations. The method is described using continous piecewise linear functions, and the optimal O(h) order of convergence estimate is derived for the error in the [H￣1 (Ω)]￣n norm.