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报告题目：Epitaxial thin film growth model and its numerical simulation
报 告 人：王成教授 马萨诸塞大学
报告摘要：In this talk, we will introduce simple and efficient direct discretization schemes for solving the phase field model on a fix and evolving surfaces. By using a conservation law and transport formulae, we derive the phase field model on evolving surfaces. An evolving surface is discretized using an unstructured triangular mesh. The discrete phase field model is defined on the surface mesh and its dual surface polygonal tessellation. The evolving triangular surfaces are then realized by moving the surface nodes according to a given velocity field. The proposed scheme is based on the Crank–Nicolson scheme and a linearly stabilized splitting scheme. The scheme is second order accurate, with respect to both space and time. Several numerical experiments are presented to demonstrate the performance and effectiveness of the proposed numerical scheme.
报告人简介：王成教授是马萨诸塞大学达特茅斯分校数学系教授。2000年获美国天普大学博士学位，师从刘建国教授。在2008年加入马萨诸塞大学担任助理教授之前，他于2000年至2003年在印第安纳大学担任Zorn博士后，师从Roger Temam和Wang Shouhong； 2003年至2008年在田纳西大学诺克斯维尔分校担任助理教授。他的研究兴趣包括开发稳定、精确的偏微分方程数值算法和数值分析。发表论文130余篇，被引用7000余次。他还曾担任《Numerical Mathematics: Theory, Methods and Applications》编委。
报告时间：2025年3月18日 10:00-11:30
报告地点：文渊楼 B536
主办单位：红足1世66814
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