孙伟伟教授来澳门威尼斯举办系列学术讲座

报告人 ：孙伟伟 北京师范大学（珠海校区）教授

报告人简介 ：

西安交通大学学士，加拿大温莎大学博士，知名计算数学专家, 《Int. J. Numer. Anal. Model.》和《Numer. Math. TMA》编委，曾担任香港城市大学教授，2020 年 1 月加入 UIC。主要的研究方向是科学计算与数学模型，包括有高阶数值方法、数学模型、电磁场的计算等， 近几年针对非线性抛物问题提出了一套新的框架性的分析方法---无条件误差估计。在SIAM系列期刊上合作发表论文30余篇。

报告题目:New Analysis of Galerkin FEMs for Nonlinear Parabolic PDEs 

报告摘要：Linearized (semi)-implicit schemes are the   most commonly-used approximations in numerical solution of nonlinear   parabolic equations since at each time step, the schemes only require the   solution of a linear system. However the time step restriction condition of   schemes is always a key issue in analysis and computation. For many nonlinear   parabolic systems, error analysis of Galerkin type finite element methods   with linearized semi-implicit schemes in the time direction is established   usually under certain time step condition $\tau \le h^{\alpha}$ for some   $\alpha>0$. Such a time-step condition may result in the use of a very   small time step and extremely time-consuming in practical computations. The   problem becomes more serious when a non-uniform mesh or adaptive meshing is   used. In this talk, we introduce a new approach to unconditional error   analysis of linearized semi-implicit Galerkin FEMs for a large class of   nonlinear parabolic PDEs. Our approach may provide a new understanding on the   commonly-used schemes and clear up the misgivings for the time-step size   restriction in practical computations.

报告时间 ：2020年10月16日下午15：00-17：00

报告地点 ：腾讯会议室：365 220 388