励新卓越论坛

——澳门沙金在线平台建校70周年系列学术活动

报告题目: Barrier function local and global analysis of an L1 finite element method for a multiterm time-fractional initial-boundary value problem

报告人: 孟祥云 副教授 （北京交通大学）

Abstract

A multiterm time-fractional initial-boundary value problem is considered. To solve the problem numerically, we apply the L1 discretisation to each fractional derivative on a graded temporal mesh, together with a standard finite element method for the spatial derivatives on a quasiuniform spatial mesh. A new proof of the stability of this method, which is more complicated than the case of a single fractional derivative, is given using barrier functions; this powerful new technique leads to sharp error estimates at each time level that show precisely the improvement in accuracy of the method as one moves away from the initial time. (A result of this type has not previously been derived for this multiterm problem.) Numerical experiments show the sharpness of our theoretical results.

报告时间：2023年10月27日（周五）上午10：00-11：00

报告地点：教二楼701

联系人：阮欣然