计算力学与工程高端专家系列讲座第三讲通知(2022-09)


发布时间: 2022-04-14     浏览次数: 578

报告题目A kernel-based least-squares collocation method for surface diffusion

报告时间2022041515:00-16:00(北京时间)

报告地点:线上腾讯会议(ID:864-694-942

报告人:LeevanLing教授,HongKong Baptist University, Hong Kong, China

主办单位:力学与材料学院固体力学研究所

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报告简介:

In this talk, the recent development of a kernel-based least-squares collocation method for surface diffusionwill be presented. There are plenty of applications and analysis for time-independent elliptic partial differential equations in the literature hinting at the benefits of overtesting by using more collocation conditions than the number of basis functions. Overtesting not only reduces the problem size, but is also known to be necessary for stability and convergence of widely used unsymmetric Kansa-type strong-form collocation methods. Kernel-based meshfree methods are considered, which is a method of lines with collocation and overtesting spatially, for solving parabolic partial differential equations on surfaces without parametrization.In this work, the time-independent convergence theories for overtesting techniques are extended to the parabolic equations on smooth and closed surfaces.

报告人简介:

Prof. Leevan Ling is the head of the Department of Mathematics of Hong Kong Baptist University. He is appointed as the Associate Editor of ‘International Journal of Computer Mathematics’ and the ‘Advances in Applied Mathematics and Mechanics’, and also as the Editorial Board of ‘Engineering Analysis with Boundary Elements’.Prof. Leevan Ling's major research interests include the theories and algorithms development of adaptive mesh-free methods.This work supplies new theoretical results underpinning meshless collocation methods.He is particularly keen in studyingdifferent variations of nonsymmetric strong collocation technique, developing and improving the adaptive trial space selection algorithms for solving ill-conditioned linear systems efficiently.