报告人:郭玉坤
报告地点:数学与统计学院二楼会议室
报告时间:2025年06月17日星期二15:00-15:40
邀请人:高忆先
报告摘要:
This talk concerns an inverse source problem for the biharmonic wave equation. A two-stage numerical method is proposed to identify the unknown source from the multifrequency phaseless data. We first establish a phase retrieval formula by introducing some artificial auxiliary point sources to the inverse source system. We show that the phase can be uniquely determined and estimate the stability of this phase retrieval approach. Next, the Fourier method is adopted to reconstruct the source function from the phased multifrequency data. Numerical results will be presented to illustrate the performance of the proposed method.
主讲人简介:
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。