报告题目：UPML method for electromagnetic scattering problems in a two-layer medium

报 告 人：江雪教授  北京工业大学

报告时间：2020年9月10日上午 10:10-10:45

报告地点：腾讯会议 ID：233 270 107

会议密码：0910

校内联系人：吕俊良  lvjl@jlu.edu.cn

报告摘要：

The perfectly matched layer (PML) method is extensively studied for scattering problems in homogeneous background media. However, rigorous studies on the PML method in layered media are very rare in the literature, particularly, for three-dimensional electromagnetic scattering problems. Cartesian PML method is favorable in numerical solutions since it is apt to deal with anisotropic scatterers and to construct finite element meshes. Its theories are more difficult than circular PML method due to anisotropic wave-absorbing materials. This work presents a systematic study on the Cartesian PML method for three-dimensional electromagnetic scattering problem in a two-layer medium. We prove the well-posedness of the PML truncated problem and that the PML solution converges exponentially to the exact solution as either the material parameter or the thickness of PML increases. We propose an edge finite element approximation to the scattering problem, and prove the optimal error estimates for the finite element solution.

报告人简介：江雪，北京工业大学教授。2013年博士毕业于中国科学院数学与系统科学研究院。2019年入选北京工业大学“高端人才队伍建设计划—优秀人才”。获2018年第十四届北京青年优秀科技论文二等奖，2014年度中国科学院优秀博士学位论文，2013年度中国科学院经理优秀奖等奖项。曾获国家留学基金委资助，于2016年到美国普渡大学访问一年。主要研究内容包括三维电磁场涡流问题的高效数值方法，和无界散射问题的自适应有限元方法。目前发表SCI论文10余篇，其中包括计算数学高水平期刊SIAM Journal on Scientific Computing、SIAM Journal on Applied Mathematics、SIAM: Multiscale Modeling and Simulation、Inverse Problems等。先后主持了国家自然科学基金青年基金和面上基金各一项。