»ã±¨±êÌâ (Title)£ºMFS formulations for polyharmonic boundary value problems

»ã±¨±êÌâ (ÖÐÎÄ)£º¶àºÍг±ßÖµÎÊÌâµÄ¸ù»ù½â¹«Ê½

»ã±¨ÈË (Speaker)£º C.S. Chen ½ÌÊÚ£¨ÃÀ¹úÄÏÃÜÎ÷Î÷±È´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê10ÔÂ17ÈÕ(Öܶþ) 10:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé 822-194-551

Ô¼ÇëÈË(Inviter)£ºÀîÐÂÏé

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»ã±¨ÌáÒª£ºWe 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.