报告题目: Local radial basis function method for solving nonlocal & nonlinear problems
报 告 人: Benny Hon（香港城市大学，教授\博导）
报告时间: 2019年11月11日 (周一) 17:00-17:50
报告摘要：In this talk, the recent development in global, local, and integration-based meshless computational methods via the use of radial basis function (RBF) will be presented. In particular, the local radial basis function computational method (LRBFCM) is an extension to solve large scale problems which has hindered the practical application of the global RBF method for years due to the ill-conditioning of the resultant full coefficient matrix. The LRBFCM has recently been applied to solve cavity flows problems with free surface and some non-local diffusion problems. Because of the meshless and accurate advantages of RBF approximation, the LRBFCM can solve multi-dimensional boundary value problems (BVPs) under irregular domain with various kinds of stiffness. Numerical examples in 2D will be given to verify the efficiency and effectiveness of the proposed methods.