報告題目：UPML method for electromagnetic scattering problems in a two-layer medium
報 告 人：江雪教授 北京工業大學
報告時間：2020年9月10日上午 10:10-10:45
報告地點：騰訊會議 ID：233 270 107
會議密碼：0910
校内聯系人：呂俊良 lvjl@jlu.edu.cn
報告摘要：
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.
報告人簡介：江雪，北京工業大學教授。2013年博士畢業于中國科學院數學與系統科學研究院。2019年入選北京工業大學“高端人才隊伍建設計劃—優秀人才”。獲2018年第十四屆北京青年優秀科技論文二等獎，2014年度中國科學院優秀博士學位論文，2013年度中國科學院院長優秀獎等獎項。曾獲國家留學基金委資助，于2016年到美國普渡大學訪問一年。主要研究内容包括三維電磁場渦流問題的高效數值方法，和無界散射問題的自适應有限元方法。目前發表SCI論文10餘篇，其中包括計算數學高水平期刊SIAM Journal on Scientific Computing、SIAM Journal on Applied Mathematics、SIAM: Multiscale Modeling and Simulation、Inverse Problems等。先後主持了國家自然科學基金青年基金和面上基金各一項。
