Speaker: Prof. Yukun Guo (郭玉坤教授)

Time: 10:30-11:30, 28 March 2025 (Friday)  (Beijing time)

Venue: C406,  Lijiao Building, BNU at ZH

Abstract

This talk concerns an inverse source problem for the biharmonic wave equation. Mathematically, we characterize the radiating and non-radiating sources at a fixed wavenumber. We also derive a Lipschitz stability estimate to determine the radiating source. Numerically, we propose a source reconstruction method based on the Fourier series expansion by multi-frequency boundary measurements. The stability of the proposed method is analyzed and numerical experiments are presented to verify the accuracy and robustness.

About the Speaker

郭玉坤，哈尔滨工业大学数学学院教授、博士生导师。本科和博士均毕业于吉林大学计算数学专业。研究领域为数学物理反问题，主要方向为波动方程反散射问题的理论分析与数值计算。在 SIAM系列、Inverse Problems、Journal of Computational Physics等期刊发表学术论文四十余篇。主持和参与多项与反问题相关的国家自然科学基金项目。