Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents
报告题目：Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents
报告时间： 2019年9月23日，星期一，上午10:00-12:00
报告地点： 数学与统计学院数学楼112会议室
报告人：林延平教授，香港理工大学
Abstract:
In this talk, we consider a multi-layer porous wall model for coronary drug-eluting stents that leads to an interface problem whose coefficients have multiple discontinuous points, and an imperfect contact interface jump condition is imposed at the first discontinuous point where the stent meets the artery. The existence and uniqueness of the solution to the related weak problem are established. A linear and a quadratic immersed finite element (IFE) methods are developed for solving this interface problem. Error estimation is carried out to show that the proposed IFE methods converge optimally. Numerical examples are presented to demonstrate features of these IFE methods.
报告人简介：
林延平教授，1982年在东北大学获得学士学位，1988年美国华盛顿州立大学获得博士学位。历任加拿大阿尔伯特大学终身教授，香港理工大学应用数学系教授、副主任，主要研究兴趣为偏微分方程和科学计算，担任Discrete and Continuous Dynamical Systems, Series B，Dynamics of Continuous Discrete and Impulsive Systems, Series B，Advances in Numerical Analysis和International Journal of Numerical Analysis and Modeling期刊的副主编或创刊人，在国际计算数学权威期刊SIAM Journal on Numerical Analysis、SIAM Journal on Mathematical Analysis等期刊上发表学术论文173篇。
