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 Interface Problems
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 both theoretically and numerically. In this general talk, I will introduce some application examples and corresponding differential equations models. The applications include Stefan problems of unstable crystal growth, drop spreading, and multi-phase flows. Then I will give a brief review of numerical methods for solving those challenging problems, particularly Cartesian grid methods such as Peskin's Immersed Boundary (IB) method, the Immersed Interface Method (IIM), Augmented IIM, and Immersed finite element method (IFEM) developed by myself.
    Another major component in solving free boundary/moving interface problems is how to evolve the interface. In our approach, both the front tracking and the level set methods are used. The level set method is simple and robust and can handle topological changes for any dimensions. I am going to discuss some issues about how to combine the level set method with IIM to achieve high order accuracy.