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2018年6月11日孙澎涛教授学术报告
上传时间:2018-06-08 作者:杭电理学院 浏览次数:
报告题目:Finite Element Methods for Poisson-Nernst-Planck Equations and Application to Ion Channels
报告人:Pengtao Sun(孙澎涛 教授)
报告摘要The Poisson-Nernst-Planck (PNP) system is one of commonly used models in theoretical and computational studies of biological ion channels, especially the fields of electro-kinetics and electro-hydrodynamics gained an increasing interest in recent years. In contrast to the limited amount of work on the numerical analysis, numerical computations with PNP equations have been widely conducted by computational physicists and biophysicists, and finite element method is most popularly adopted in recent years to solve the steady-state and time-dependent PNP equations. However, the finite element analyses of PNP equations are either incomplete or lack the accuracy. In this talk, I am going to address the challenging problems in the finite element analysis of PNP equations, then introduce our recent work on the a priori finite element error analysis for the time-dependent PNP equations, including both standard Galerkin method and mixed finite element method. We also developed and analyzed the mixed finite element method for PNP/Stokes coupling problem. Finally, I will introduce the application of PNP system to ion channels, and our future research plan on a realistic ionic fluid problem modeled by the transient PNP/Stokes coupling system.
报告人介绍
孙澎涛博士,美国内华达大学拉斯维加斯分校的数学系教授,博士生导师。1991年和1994年在山东大学分别获得本科和硕士学位,1997年在中国科学院数学研究所获博士学位。在2007年入职内华达大学拉斯维加斯分校之前,曾在中国科学院、香港理工大学、美国宾夕法尼亚州立大学、加拿大西蒙弗雷泽大学做博士后研究,并担任副研究员、助理教授等职位。主要研究方向:偏微分方程数值解,有限元/有限体积方法的数值分析,自适应有限元方法,区域分解方法,相场方法,以及对流固耦合、燃料电池、流体动力学、血液动力学、电流体动力学等多物理问题的建模、科学与工程计算的研究。发表论文80余篇,2008年以来一直被美国国家自然科学基金(NSF)资助。于2016年获得内华达大学理学院颁发的杰出研究奖。
 
报告时间:2018611日(周一)下午2:303:30
 
报告地点:理学院学术报告厅(6教南528
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