Superconvergence of finite element method for parabolic problem

Abstract

We study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence of uh−Rhu, then use a postprocessing to improve the accuracy to higher order.

Keywords

• Superconvergence
• parabolic problem
• postprocessing.