報告題目:Immersed Finite Element Methods and Applications

報 告 人: 林濤 弗吉尼亞理工大學教授

報告時間: 11月10日16:00-18:00

報告地點: 明理樓C302B

報告人簡介:林濤（Tao Lin）教授1990年在懷俄明大學取得博士學位，1989年在弗吉尼亞理工大學數學系受聘為助理教授，2001年起擔任教授。林濤教授是計算數學和科學計算方面的專家。他的研究興趣涉及偏微分方程和積分微分方程的數值求解方法，尤其是在界面問題的浸入式有限元方法及其應用方面取得了開創性的研究成果。

報告內容摘要:

Immersed finite element (IFE) methods offer the flexibility to employ a mesh independent of the interface where a partial differential equation (PDE) model either changes its coefficients or its type. This presentation will show how this particular attribute of IFE methods provides distinct advantages in numerous applications. We will begin with a concise introduction to IFE methods and subsequently delve into three representative applications:

(1) Interface problems involving a single physics model in a domain comprising multiple materials.

(2) Interface problems for multiple physics models, each located in distinct sub-domains within a simulation domain.

(3) Interface inverse problems for the identification or determination of material interfaces based on boundary measurements within a simulation domain.

主辦單位:理學院?人工智能研究院?非線性動力系統研究所?

數理力學研究中心 ?科學技術發展研究院