»ã±¨±êÌâ (Title)£ºAn adaptive MPS--MFS using ghost point method and effective condition number£¨Ê¹ÓÃÐé¹¹ÖÐÐĵãºÍÓÐЧǰÌáÊýµÄ×ÔÊÊÓ¦MPS-MFS²½Ö裩

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

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ31ÈÕ(Öܶþ) 10:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé 614-475-212

Ô¼ÇëÈË(Inviter)£ºÀîÐÂÏé

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»ã±¨ÌáÒª£ºIn recent years, the ghost point method has been introduced to enhance the performance of the evaluation of particular solutions using radial basis functions (RBFs). The main idea of the ghost point method is to distribute the centers outside the domain. As a result, the so-called one-step hybrid MPS--MFS has three parameters to be determined for its optimal performance. In this paper, we propose applying effective condition numbers with an adaptive method for the optimal selection of these three parameters to achieve stable and high accuracy. Five numerical examples are presented to demonstrate the effectiveness of the proposed approach.