亿万先生MR

汇报标题 (Title)：MFS formulations for polyharmonic boundary value problems

汇报标题 (中文)：多和谐边值问题的根基解公式

汇报人 (Speaker)： C.S. Chen 教授（美国南密西西比大学）

汇报功夫 (Time)：2024年10月17日(周二) 10:00

汇报地址 (Place)：腾讯会议 822-194-551

约请人(Inviter)：李新祥

主办部门：理学院数学系

汇报提要：We consider a multi--level method of fundamental solutions for solving polyharmonic problems governed by 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 . 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.