天元东北中心有限元主题系列报告|A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems
报 告 人: 李步扬 教授
所在单位: 香港理工大学
报告地点: 腾讯会议
报告时间: 2020-08-06 10:00:00
报告简介:

腾讯会议ID:448 946 912

会议链接:https://meeting.tencent.com/s/i4RT1jlbehzR


A new time discretization method for strongly nonlinear parabolic systems is constructed by combining the fully explicit two-step backward difference formula and a second-order stabilization of wave type. The proposed method linearizes and decouples a nonlinear parabolic system at every time level, with second-order consistency error. The convergence of the proposed method is proved by combing energy estimates for evolution equations of parabolic and wave types, and the generating function technique that is popular in studying ordinary differential equations. Several numerical examples are provided to support the theoretical result.


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主讲人简介:
李步扬博士2012年在香港城市大学获得博士学位,2013 年至 2015 年在南京大学助理研究员,2015 至 2016 年作为洪堡学者在德国图宾根大学访问一年,自 2016 年起在香港理工大学担任助理教授。李步扬博士的研究方向主要是偏微分方程的数值解,包括非线性抛物方程、超导方程、相场方程、曲面演化方程等,至今已发表论文 60 余篇。