報告題目：Solve electromagnetic interface problems on unfitted meshes
報告人：郭汝馳 四川大學
時間：2024年08月29日（星期四）3:15-4:00
地點: 正新樓209
校内聯系人：王瑞姝 wangrs_math@jlu.edu.cn
報告摘要：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 improve the computational efficiency. However, the low regularity of Maxwell equations makes its computation very senstive 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.
報告人簡介：郭汝馳，于2019年在弗吉尼亞理工大學取得博士學位，先後在俄亥俄州立大學擔任Zassenhaus Assistant Professor、加州大學爾灣分校擔任Visiting Assistant Professor。現于香港中文大學擔任Research Assistant Professor。主要研究領域為科學計算，特别是針對偏微分方程的數值方法，包括界面問題的非匹配網格算法，以及界面反問題的重構算法，包括浸入有限元算法、虛拟元算法，以及反問題的優化算法、直接法和深度學習算法等。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.,等計算數學領域雜志，以及深度學習會議ICLR上發表多篇文章。
