报告题目：Estimation of exciton diffusion lengths of organic semiconductors in random domains

报告人：陈景润（苏州大学）

时间：6月16日（周三）上午10:30-11:30

地点：五教5305教室

报告摘要：Exciton diffusion length plays a vital role in the function of opto-electronic devices.  Oftentimes, the domain occupied by an organic semiconductor is subject to surface measurement error. In many experiments, photoluminescence over the domain is measured and used as the observation data to estimate this length parameter in an inverse manner based on the least square method. However, the result is sometimes found to be sensitive to the surface geometry of the domain. We propose an asymptotic-based method as an approximate forward solver whose accuracy is justified both theoretically and numerically. It only requires to solve several deterministic problems over a fixed domain. Therefore, for the same accuracy requirement we tested here, the running time of our approach is more than one order of magnitude smaller than that of directly solving the original stochastic boundary-value problem by the stochastic collocation method. In addition, from numerical results we find that the correlation length of randomness is important to determine whether a 1D reduced model is a good surrogate.

报告人简介：陈景润，苏州大学数学与交叉科学研究中心及数学科学学院教授。主要研究方向为材料性质的多尺度建模、分析、算法与仿真（包括材料力学、材料磁学以及材料电学），以及机器学习求解偏微分方程。主要工作发表在SIAM系列期刊，Math. Comp.，J. Comp. Phys.等学术期刊上。2016年获海外高层次人才青年项目支持。