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Solve electromagnetic interface problems on unfitted meshes

发布日期:2023-12-05点击数:

报告人:郭汝驰(香港中文大学)

时间:2023年12月07日 14:30-

地点:理科楼LA106


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.


简介:郭博士于2019年在弗吉尼亚理工大学获得博士学位,之后在俄亥俄州立大学与加州大学欧文分校从事博士后研究工作,现在在香港中文大学从事博士后研究。郭博士从事数字分析与计算,在有限元与反问题领域取得了一系列杰出成果。在SINUM,SISC, JCP, IMA Num, M2AN上发表多篇论文。


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