Speaker: Dr. Ruchi Guo(郭汝驰博士)

Time: 12:10-13:10, 15 September 2022 (Thursday) (Beijing time)

Tencent Meeting ID: 281-911-330

Venue: A103, Lijiao Building

Record: https://meeting.tencent.com/v2/cloud-record/share?id=77cd69f6-3687-492b-9d21-5515dbb6f941&from=3&is-single=true

Abstract

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.

About Dr. Guo

郭汝驰博士，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，现于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.等计算数学领域杂志上发表多篇文章。