学术动态
当前位置: 首页 > 学术动态 > 正文
法国国家信息与自动化研究所董兆楠研究员学术报告通知
发布时间 : 2025-04-15     点击量:

报告题目:

A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation

报告人: 董兆楠研究员,法国国家信息与自动化研究所

报告时间:2025423日上午9:30-11:30

报告地点:数学楼423会议室

报告摘要:

We propose a new stabilised finite element method for the classical Kolmogorov equation. The latter serves as a basic model problem for large classes of kinetic-type equations and, crucially, is characterised by degenerate diffusion. The stabilisation is constructed so that the resulting method admits a numerical hypocoercivity property analogous to the corresponding property of the PDE problem. More specifically, the stabilisation is constructed so that a spectral gap is possible in the resulting “stronger-than-energy” stabilisation norm, despite the degenerate nature of the diffusion in Kolmogorov thereby, the method has a provably robust behaviour as the “time” variable goes to infinity. We consider both a spatially discrete version of the stabilised finite element method and a fully discrete version, with the time discretisation realised by discontinuous Galerkin timestepping. Both stability and a priori error bounds are proven in all cases. Numerical experiments verify the theoretical findings.

报告人简介:

董兆楠,法国国家信息与自动化研究所(INRIAParis)研究员,主要研究方向包括continuous and discontinuous FEMhp-version FEMadaptive algorithmsmultiscale methods polygonal discretization methodshybrid high-order methodssolver design等。201610月在英国University of Leicester师从间断有限元方法专家Emmanuil Georgoulis教授和 Andrea Cangiani博士,获得应用数学博士,随后在英国University of Leicester从事博士后研究。 2019年在希腊国立数学研究院(IACM-FORTH)做访问学者,201911月至20209月在英国Cardiff University 数学系担任讲师。近年来在 SIAM Journal of Numerical AnalysisMathematics of ComputationSIAM Journal on Scientific Computing等计算数学权威期刊上发表学术论文20余篇,并在Springer 出版社出版一部专著。

邀请人:晏文璟教授

陕西省西安市碑林区咸宁西路28号     西安交通大学数学与统计学院

邮编:710049     电话 :86-29-82668551     传真:86-29-82668551