多调和边值问题的基本解公式

2024.10.15

投稿:龚惠英部门:理学院浏览次数:

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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

主办部门:理学院数学系

报告摘要: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.