The superclose properties of the exact solution and the approximate solutions of two classes of Hermite type for viscoelasticity equation are presented in this paper. At the same time, based on the interpolated postprocessing technique, the global supercovergence is obtained. Furthermore, for the two classes of Hermite type finite element, two order higher covergence rate at least than the general error estimate is derived by use of asymptotic error expansion and the extrapolation. |