学术动态
当前位置: beat365官方网站 > 学术动态 > 正文
香港大学数学系李光莲学术报告通知
发布时间 : 2023-05-18     点击量:

报告题目:Quasi-Monte Carlo finite element approximation of the Navier--Stokes equations with initial data modeled by log-normal random fields

报告人:李光莲助理教授 香港大学数学系

时间:2023.5.23 上午10:00-11:00

腾讯会议号:131-898-806 https://meeting.tencent.com/dm/JLncAmbKycZF

报告摘要:In this talk, we analyze the numerical approximation of the Navier--Stokes problem over a bounded polygonal domain in $\R^2$, where the initial condition is modeled by a log-normal random field. This problem usually arises in the area of uncertainty quantification. We aim to compute the expectation value of linear functionals of the solution to the Navier--Stokes equations and perform a rigorous error analysis for the problem. In particular, our method includes the finite element, fully-discrete discretizations, truncated Karhunen--Lo\'eve expansion for the realizations of the initial condition, and lattice-based quasi-Monte Carlo (QMC) method to estimate the expected values over the parameter space. Our QMC analysis is based on randomly-shifted lattice rules for the integration over the domain in high-dimensional space, which guarantees the error decays with $\mathcal{O}(N^{-1+\delta})$, where $N$ is the number of sampling points, $\delta>0$ is an arbitrary small number, and the constant in the decay estimate is independent of the dimension of integration. This is a joint work with Dr. Seungchan Ko (Inha University, South Korea) and Dr. Yi Yu (Guangxi University).


报告人简介:李光莲, 2015年博士毕业于得克萨斯A&M 大学,2015-2018于德国波恩大学从事Hausdorff博士后研究工作,曾获牛顿国际奖学金并于2018年前往帝国理工学院访问。2019年任挪威格罗宁根大学tenure-track助理教授,2020年任香港大学助理教授主要从事多尺度建模与分析、不确定性量化、高维近似等研究及其在实际问题中的应用,研究工作发表于国际权威期刊SIAM系列, Journal of Computational Physics, Inverse Problems等。


陕西省西安市碑林区咸宁西路28号 &版权所有:beat·365(中国)在线体育-官方网站

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