Abstract:

 A CrouzeixRaviart type nonconforming characteristic finite element scheme is proposed for 2D Burgers equations. By use of some special properties of the finite element interpolation, and without the projection operator which is a vital tool in the conventional finite element convergence analysis of evolution equations, the optimal H1norm error estimate and some superclose properties are obtained. Also, based on the interpolated postprocessing trick, the global superconvergence is derived.
 

Key words: Burgers equations; nonconforming; characteristic finite element; the optimal error estimate; supperclose and supperconvergence