报告题目 (Title)：MFS formulations for polyharmonic boundary value problems
报告题目 (中文)：多调和边值问题的基本解公式
报告人 (Speaker)： C.S. Chen 教授（美国南密西西比大学）
报告时间 (Time)：2024年10月17日(周二) 10:00
报告地点 (Place)：腾讯会议 822-194-551
邀请人(Inviter)：李新祥
报告摘要：We consider a multi--level method of fundamental solutions for solving polyharmonic problems governed by D^N, N=0,3,4 in both two and three dimensions. Instead of approximating the solution with linear combinations of N fundamental solutions, we show that, with appropriate deployments of the source points, it is possible to employ an approximation involving only the fundamental solution of the operator D^N. To determine the optimal position of the source points, we apply the recently developed effective condition number method. The results of several numerical tests are presented and analyzed.