杜其奎教授学术报告

发布时间:2018年12月21日 作者:杨东辉   消息来源:    阅读次数:[]

杜其奎教授学术报告

报告题目:Numerical Methods for Problems in Unbounded Domains

报告人: 杜其奎 教授

报告时间:20181222日(星期六)上午1000-1200

报告地点:中南大学数学与统计学院145报告厅

报告摘要:Many boundary value problems of partial differential equaitons (PDEs) involving unbounded domain occur in many areas of applicationse.g. fluid flow around obstaclescoupling of structures with foundationwave propagation and radiationquantum physics and chemistry etc. One of the main numerical difficulties is the unboundedness of physical domain.

In this talkwe first review different numerical approaches for problems in unbounded domain. Then we present high-order nonlocal/local artificial boundary conditions (ABCs) for some elliptic PDEs and reduce them to a problem defined in a bounded computational domain. New optimalerror estimates for the finite element approximation of the problem are obtained. Furthermoresome alternating methods based on the natural boundary reduction are given. Numerical results are also reported to confirm our theoretical results.

 



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