Abstract

In this talk, we present stability estimates with explicit dependence of the wavenumber for scattering by both deterministic and random periodic structures for the Helmholtz equation. Moreover, an efficient numerical method based upon recursive linearization with mutlifreqencies for the corresponding inverse problem is discussed, i.e., recovering some key statistical properties of the profile for the unknown random periodic structure from boundary measurements of the scattered fields away from the structure. Numerical results are presented to demonstrate the reliability and efficiency of the proposed method.

Short bio

徐翔，浙江大学数学科学学院长聘副教授。徐翔的研究主要集中在反问题的理论与计算，共发表SCI论文30余篇，部分论文被列为ESI高引论文和Inverse Problems亮点收录。曾获曙光青年学术奖、浙江省特聘专家，入选浙江省151人才工程。主持国家自然科学基金委面上项目，参与国家自然科学基金委创新群体项目、重大研究计划重点项目、国际（地区）交流合作等多项项目。