Abstract:

In this paper, by use of the integral identities and the mean value technique, approximation of bilinear finite element for the nonlinear viscoelasticity type equations with superclose property of order O(h²) in H¹-norm is obtained. A global superconvergence result is yielded by interpolated post-processing method. Then higher accuracy of order O(h³) for approximation solution is derived through constructing a proper extrapolation scheme.
 

Key words: nonliear viscoelasticity type equations; bilinear element; higher accuracy; interpolated post-processing; extrapolation