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.