特邀云南财经大学王汉权教授来校作学术报告

发布者:郭帅发布时间:2019-03-15浏览次数:346

Title:  A collocation-based spectral element method and its application

 报告人:王汉权 教授(云南财经大学)

 报告时间:201931515:10-16:10

 报告地点:尚贤楼706会议室

 主持人:王廷春 副教授

Abstract:

I mainly discuss collocation-based spectral element method for the boundary value problem of the elliptic equations. There are few literature on how to implement collocation-based spectral element method for the elliptic problems. I describe how to apply the continuous collocation-based spectral element method to numerically solve the boundary value problems of the elliptic equations.  Firstly, the method constructed here uses the idea of the finite element method to decompose the domain of the equation, and divides the domain into several connected subdomains. Secondly, it uses the collocation-based method to discretize the elliptic equations in each subdomain. Thirdly, using the ideology of the finite element method assembles the unit stiffness matrix into a total stiffness matrix. Finally, the numerical solution of the unknown function can be found from the discretized system. This method can be used to deal with complicated elliptic equations with the variable coefficients. It can also solve the numerical solutions of the boundary value problems for the elliptic equations defined in complex regions. Another benefit of the method lies on that it can achieve comparably simple programming. This is undoubtedly a value of this method.  Extension of the numerical method to investigate the elliptic boundary value problem with singular solution and how to solve the time-dependent nonlinear Schrodinger equation will be discussed.   

 报告人简介:王汉权,现任云南财经大学特聘教授、云南财经大学统计与数学学院副院长、博士生导师。2013获得教育部新世纪优秀人才基金资助。2014年获得“云南省有突出贡献优秀专业技术人才”称号.2017年获得“云南省中青年学术带头人”称号。曾经前往新加坡国立大学、香港科技大学、美国纽约哥伦比亚大学等大学做访问学者。主要从事计算数学与科学工程计算,感兴趣的研究领域包括:计算数学及其在玻色-爱因斯坦凝聚态物理、材料中的晶体位错现象、基本物质(原子、分子、等离子体等)在强激光场下的物理性质与反应、金融数学等方面中的应用。已经从事科学研究的领域包括计算数学与科学工程计算,偏微分方程数值解法(有限差分法、谱方法、谱元法等)的设计与应用,泛函极值问题求解方法设计与应用,最优化理论方法与应用,计算机模拟玻色-爱因斯坦凝聚态中的涡旋现象和材料科学中的晶体位错现象。主持完成国家自科基金项目三项,目前主持国家自科基金面上项目一项。

 数学与统计学院

2019315