International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 8, Pages 567-578

Superconvergence of finite element method for parabolic problem

Do Y. Kwak,1 Sungyun Lee,1 and Qian Li2

1Department of Mathematics, KAIST, Taejon 305–701, Korea
2Department of Mathematics, Shandong Normal University, Shandong, Jinan 250014, China

Received 22 October 1998

Copyright © 2000 Do Y. Kwak et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 uhRhu, then use a postprocessing to improve the accuracy to higher order.