Solve electromagnetic interface problems on unfitted meshes

报告题目：Solve electromagnetic interface problems on unfitted meshes 

报告时间：2023年11月3日下午14:00-15:00  

报告地点：红瓦楼826

报告人：郭汝驰   助理教授 （香港中文大学 ）

报告摘要：Electromagnetic interface problems widely appear in a lot of engineering applications, such as electric actuators, invasive detection techniques and integrated circuit，which are typically described by Maxwell equations with discontinuous coefficients. Conventional finite element methods require a body-fitted mesh to solve interface problems, but generating a high-quality mesh for complex interface geometry is usually very expensive. Instead, using unfitted mesh finite element methods can circumvent mesh generation procedure, which greatly improves the computational efficiency. However, the low regularity of Maxwell equations makes its computation very sensitive to the conformity of the approximation spaces. This very property poses challenges on unfitted mesh finite element methods, as most of them resort to non-conforming spaces. In this talk, we will present our recent progress including several methods for this topic. 

报告人简介：郭汝驰（香港中文大学助理教授），于2019年在弗吉尼亚理工大学取得博士学位，后于俄亥俄州立大学担任Zassenhaus Assistant Professor，也曾在加州大学尔湾分校担任Visiting Assistant Professor。主要研究领域为科学计算，特别是针对偏微分方程的数值方法，包括界面问题的非匹配网格算法，以及界面反问题的重构算法，包括浸入有限元算法、虚拟元算法，以及反问题的优化算法、直接法和深度学习算法等。在 SIAM J. Numer. Anal., M3AS, SIAM J. Sci. Comput., J. Comput. Phys., IMA J. Numer. Anal., ESAIM:M2AN, J. Sci. Comput., Comput. Methods Appl. Mech. Eng.,等计算数学领域杂志，以及深度学习会议ICLR上发表多篇文章。

报告邀请人：黄学海 教授