报告人：王封儒博士

报告题目：An Iterative Direct Sampling Method for Reconstructing Moving Inhomogeneities in Parabolic Problems

报告摘要：We propose in this work a novel iterative direct sampling method for imaging moving inhomogeneities in parabolic problems using boundary measurements. It can still efficiently identify the locations and shapes of moving inhomogeneities when very limited data are available, even with only one or two pairs of lateral Cauchy data, and enjoys remarkable numerical stability under large noise and over an extended time horizon. The method is formulated in an abstract framework, and is applicable to parabolic problems including linear, nonlinear, and mixed-type inhomogeneities. Numerical experiments across diverse scenarios show its effectiveness and robustness against the data noise.

报告时间：2025年7月16日 16:00 – 18:00

报告地点：正心楼111

报告人简介：王封儒，香港中文大学数学系博士后。2023年于武汉大学获数博士学位。研究方向聚焦机器学习与科学计算（偏微分方程深度学习、反问题）及多尺度建模与材料计算（分子动力学、人工边界条件）。相关成果发表于 SIAM MA、SIAM Image、JCP 等期刊，包括波传播吸收边界条件、椭圆方程神经网络求解器、反问题采样算法等。