计算力学与工程系列讲座报告通知(2022-87)

报告题目：The closest point method for solving partial differential equations on surfaces

报告时间：2022年12月01日11:00-13:00（北京时间）

报告地点：线上zoom会议（ID：859 7192 7573; 密码：704367）

                     直播链接：https://live.bilibili.com/13698879

报 告 人：Steven Ruuth教授, Simon Fraser University, Canada

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：

The numerical approximation of partial differential equations (PDEs) on surfaces poses interesting challenges not seen on flat spaces. The discretization of these PDEs typically proceeds by either parametrizing the surface, triangulating the surface, or embedding the surface in a higher dimensional flat space. Here we consider an embedding method, the closest point method, which is designed to solve a variety of PDEs on smooth surfaces using a closest point representation of the surface and standard Cartesian grid methods in the embedding space. An attractive property of the method, in its explicit form, is that it frequently leads to evolution equations that are simply the equations of the corresponding flow in the embedding space. This advantage means that with the insertion of a simple interpolation step, highly effective 3D numerical PDE codes can be reused to approximate the evolution of PDEs on surfaces. In this talk, we review the closest point method and present recent results for solving PDEs on moving surfaces, as well as recent domain decomposition methods and software suitable for parallel computing.

报告人简介：

Steve Ruuth is a Professor of Mathematics in the Applied and Computational Mathematics Group at Simon Fraser University. He completed his PhD at the University of British Columbia in 1996. This was followed by a position at UCLA as an NSERC Postdoctoral Fellow and Visiting Assistant Professor (1996 -1999). He was the winner of the Canadian Applied and Industrial Mathematics (CAIMS) Doctoral Dissertation Award in 1996. In 2011, he was awarded the GermundDahlquist Prize from the Society for Industrial and Applied Mathematics (SIAM) for his research contributions to the development and understanding of the numerical solution of initial value problems for ordinary and partial differential equations. In 2020, he was awarded the Canadian Applied and Industrial Mathematics Research Prize for contributions to the development of robust numerical methods for time dependent partial differential equations and interfacial dynamics, and the impact of his work in scientific computing. He is a member of the editorial boards of SIAM J. Sci. Comput., Numer. Math.-Theory Me. and Appl. Numer. Math.