报告题目 (Title)： Discontinuous Galerkin method for electromagnetic wave propagation problem in nano-optics(纳米光学中电磁波传播问题的间断Galerkin方法)

报告人 (Speaker)：吕茂辉 特聘副研究员（北京邮电大学）

报告时间 (Time)：2023年9月6日(周三) 10:00

报告地点 (Place)： 校本部A101、腾讯会议号：509-917-867 (无密码)

邀请人(Inviter)：侯宝慧

主办部门：理学院数学系

报告摘要：In this talk, we consider the electromagnetic wave progagations in nano-optical materials. By revisiting the Hamitonian of the electron system, a self-consistent hydrodynamical Drude (SCHD) model is built to describe the the electron spill-out and tunelling effects in metallic nanostructures in the subwavelength regime. An energy stable discontinuous Galerkin method is further proposed to solve the SCHD model. Semi-discrete in space error estimates and fully discrete energy stability are established. Numerical examples are provided to demonstrate the performance of the proposed method.