报告题目：Computation of moments for Maxwell’s equations with random nterfaces via pivoted low-rank approximation

报 告 人：郝永乐博士  周口师范学院

报告时间：2020年6月18日下午 3:30-4:30

报告地点：腾讯会议 ID：368 452 008

会议密码：061820

点击链接入会，或添加至会议列表：https://meeting.tencent.com/s/sN0cwS0DQvj6

校内联系人：张凯  zhangkaimath@jlu.edu.cn

报告摘要：

In this talk, the aim to compute the mean field and variance of solutions to three-dimensional Maxwell’s equations with random interfaces via shape calculus and pivoted low-rank approximation. Based on the perturbation theory and shape calculus, we characterize the statistical moments of solutions to Maxwell’s equations with random interfaces in terms of the perturbation magnitude via the first order shape-Taylor expansion. In order to capture oscillations with high resolution close to the interface, an adaptive finite element method using Nédélec’s third order edge elements of the first kind is employed to solve the deterministic Maxwell’s equations with the mean interface to approximate the expectation of solutions. For the second moment computation, an efficient low-rank approximation of the pivoted Cholesky decomposition is proposed to compute the two-point correlation function to approximate the variance of solutions. Numerical experiments are presented to demonstrate our theoretical results.

报告人简介：

Yongle Hao is a Lecturer at the School of Mathematics and Statistics,Zhoukou Normal University. Before taking up the current position, he obtained his PhD in Mathematics from Jilin University (2018). His research interest is numerical methods for stochastic partial differential equations.