关于举行北卡州立大学李治林教授学术报告的通知

报告题目：Modeling,Analysis, & Simulations of Free Boundary/Moving InterfaceProblems
报告时间：2016年3月14日（周一）下午16：00-17：00
报告人：李治林教授（北卡州立大学）
报告地点：4号楼4318室

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                                                                          数学学院
                                                                     2016年03月09日

报告摘要:
   Free boundary/moving interface problems are challenging boththeoretically and numerically. In this general talk, I will introducesome application examples and corresponding differential equationsmodels. The applications include Stefan problems of unstable crystalgrowth, drop spreading, and multi-phase flows. Then I will give abrief review of numerical methods for solving those challengingproblems, particularly Cartesian grid methods such as Peskin'sImmersed Boundary (IB) method, the Immersed Interface Method (IIM),Augmented IIM, and Immersed finite element method (IFEM) developed bymyself.
    Another major component in solving freeboundary/moving interface problems is how to evolve the interface. Inour approach, both the front tracking and the level set methods areused. The level set method is simple and robust and can handletopological changes for any dimensions. I am going to discuss someissues about how to combine the level set method with IIM to achievehigh order accuracy.