报告题目:A leap-frog finite element method for wave propagation of Maxwell-Schrödinger equations with nonlocal effect in metamaterials
报 告 人:姚昌辉教授 郑州大学伟德国际1946源自英国
报告摘要:In this paper, a novel system of Maxwell-Schrödinger equations with nonlocal effect in metamaterials is derived from the Drude model, hydrodynamical model and Schrödinger equation. A leap-frog finite element scheme, which can be solved one by one efficiently, is constructed by presenting a group of initial values. This scheme is proved to be stable conditionally in energy norm. It is confirmed that the error convergent rate is $O(\tau^2+h^r)$ by splitting the proof into three parts, where $\tau$ is the time step size, $h$ is the mesh size and $r$ is the maximum total degree of polynomials in finite element spaces. Finally, some numerical results are given to verify the theories.
报告人简介:姚昌辉,男,1977年01月出生,教授,博士生导师。中国数学会计算数学分会理事,河南省智能图像学会理事。2006年6月在中国科学院获得计算数学专业理学博士学位,2008在挪威Bergen大学获得应用数学专业哲学博士学位。2008年12月在郑州大学数学系任职,2016年12月被郑州大学聘为教授。曾主持国家自然科学基金青年基金1项,面上项目2项,参与完成国家自然科学基金面上项目2项,郑州大学优秀发展基金项目1项。主要侧重于对电磁场(非)线性问题解的适定性以及有限元数值逼近研究。
报告邀请人:科学与工程计算团队
报告时间:2021年6月8日9:30-10:30
报告地点:腾讯会议,ID:458 935 415