程宏达教授学术报告的通知

题目：Meshless Collocation Method for Engineering Applications

时间：5月15日（星期二）3:30-4:30

地点：安中大楼A326

报告人：Alexander Cheng（程宏达，University of Mississippi）

报告人简介：Alexander Cheng obtained his Ph.D. from Cornell University, M.S. from University of Missouri—Columbia, and B.S. from National Taiwan University, all in Civil Engineering. He is currently Dean of Engineering at the University of Mississippi. His research interest covers poromechanics, groundwater, saltwater intrusion, boundary element method, meshless collocation method, and nanomechanics.

Abstract:  Collocation methods incorporate a wide range of numerical methods that use global, instead of local basis functions for interpolation. Some collocation methods, such as the spectral methods (Chebyshev polynomial, Fourier series, wavelet), require a rectilinear grid, thus are limited to simple geometries. Those methods are not amenable to engineering applications. Other methods, such as the Method of Fundamental Solutions (MFS), the Radial Basis Function (RBF) Collocation, and the Trefftz Method, use scattered points in space for collocation; hence are much more “form-fitting” to the problem geometry. These methods are also “meshless” because no “elements” are involved. This is a much desired feature for industrial applications, because it cuts down the labor intensive mesh and connectivity data generation. It has driven the industry to develop “meshless FEM”.

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                                                                                              岩土工程研究所

                                                                                                2012年5月15日