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理学院学术报告-Studies on an inverse source problem for the biharmonic equation

发布者: [发表时间]:2024-11-25 [来源]: [浏览次数]:

报告题目:Studies on an inverse source problem for the biharmonic equation

报告题目:郭玉坤教授,哈尔滨工业大学

报告时间:2024年1124日(周)下午15:00-16:00

报告地点:南教1-120报告厅

报告摘要: 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.

报告专家简介: 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。


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