International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 8, Pages 567-578
doi:10.1155/S0161171200002519
Superconvergence of finite element method for parabolic problem
Do Y. Kwak1
, Sungyun Lee1
and Qian Li3
1Department of Mathematics, KAIST, Taejon 305-701, Korea
3Department of Mathematics, Shandong Normal University, Shandong, Jinan 250014, China
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.