报告题目：Numerical Methods for Problems in Unbounded Domains
报告人： 杜其奎 教授
报告摘要：Many boundary value problems of partial differential equaitons (PDEs) involving unbounded domain occur in many areas of applications，e.g. fluid flow around obstacles，coupling of structures with foundation，wave propagation and radiation，quantum physics and chemistry etc. One of the main numerical difficulties is the unboundedness of physical domain.
In this talk，we 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 ‘optimal’error estimates for the finite element approximation of the problem are obtained. Furthermore，some alternating methods based on the natural boundary reduction are given. Numerical results are also reported to confirm our theoretical results.