2022-11-10
举办单位:数学科学学院
负责人姓名:秦煜哲
电话:18813160628
活动主题:epitaxial thin film growth model and its numerical simulation
形式:线上学术报告
活动内容摘要:
a nonlinear pde model of thin film growth model, with or without slope selection, are presented in the talk. a global in time solution with gevrey regularity is established for the one with slope selection. for the numerical simulation, an idea of convex-concave splitting of the corresponding physical energy is applied, which gives to an implicit treatment for the convex part and an explicit treatment for the concave part. that in turn leads to a numerical scheme with a non-increasing energy. a first order accurate linear splitting and a second order accurate linear iteration algorithm are also considered, with some numerical simulation results presented.
主讲人基本情况:
王成,麻省大学达特茅斯分校数学系教授,1993年本科毕业于中国科技大学,2000年在美国坦普尔大学获得博士学位,2000-2003年在美国印尼安纳大学从事博士后研究工作,2003-2008年在美国田纳西大学任助理教授,2008-2012年在美国麻省大学达特茅斯分校任助理教授,2012年晋升为副教授,2019年晋升为教授。王成教授的主要研究领域是应用数学与计算数学,包括数值分析、偏微分方程、流体力学、计算电磁学等,目前已在 journal of computational physics, siam journal on numerical analysis, mathematics of computation, numerische mathematik 等期刊上发表论文一百多篇。
听众范围:数学科学学院师生
举办时间:2022-11-14
举办地点:zoom
报告类型:理科类