School Colloquium——Recent Development on Superconvergence Theory in Computational Mathematics
报告人:Zhimin Zhang(Beijing Computational Science Research Center)
时间:2018-12-14 15:30-16:30
地点:Room 1560, Sciences Building No. 1
Abstract: Superconvergence phenomenon is well understood for the h-version finite element method and
researchers in this old field have accumulated a vast literature during the past 40 years. However, the relevant
systematic study for discontinuous Galerkin, finite volume, and spectral methods is lacking. We believe that
the scientific community would also benefit from the study of superconvergence phenomenon of those
methods. Recently, some efforts have been made to expand the territory of the superconvergence. In this talk,
I will summarize some recent development on superconvergence study for these methods. At the same time, some current issues and un-solved problems will also be addressed.