报告题目: Two--step MPS--MFS ghost point method for solving partial differential equations
报 告 人：C.S. Chen（University of Southern Mississippi）
时间:2020年12月1日（周二）下午2:00-4:00
地点:线上会议腾讯（会议号936422683，密码147258）或江宁校区乐学楼1030室
主办单位：力学与材料学院固体力学研究所
报告简介：The fictitious boundary surrounding the domain is required in the implementation of the method of fundamental solutions (MFS). A similar approach of taking a portion of the centers of radial basis functions (RBFs) outside the domain in the context of the method of particular solutions (MPS) is proposed to further improve the performance of a two-step MPS-MFS method. Since the shape parameter of RBFs is problem dependent, several known procedures on how to determine a good shape parameter are introduced for solving various types of problems. The proposed method is not only highly accurate but also fairly stable due to the use of the particular solutions and fundamental solutions. To demonstrate the effectiveness of the proposed method, five numerical examples in highly complicate and irregular domains, which include second and fourth order elliptic partial differential equations in 2D and 3D, are presented.
报告人简介：Prof. C.S. Chen is the full professor in the Department of Mathematics, University of Southern Mississippi. Prof. C.S. Chen received B.Sc. and M.Sc. in Mathematics from National Cheng-Kung University and University of Southern Mississippi. In 1982, he got his Ph.D. in Applied Mathematics from University of Louisiana at Lafayette. Prof. C.S. Chen current research interests include meshless methods, inverse problems and its engineering applications. He has published 4 books and more than 100 SCI papers and served as the associate editor in theAdvances in Applied Mathematics and Mechanics and Engineering Analysis with Boundary Elements.