应伟德体育伟德体育官方网站杨志鹏副教授和燕雄斌副教授邀请,北京航空航天大学刘晓莉副教授将于2025年11月18日下午作学术报告,欢迎全校师生参加.
报告题目:An accelerated level-set method for inverse scattering problems
时间:2025年11月18日(星期二) 下午3:00
地点:腾讯会议571-518-337,密码112233
报告摘要:In this talk, we propose a rapid and robust iterative algorithm to solve inverse acoustic scattering problems formulated as a PDE constrained shape optimization problem. We use a level-set method to represent the obstacle geometry and propose a new scheme for updating the geometry based on an adaptation of accelerated gradient descent methods. The resulting algorithm aims at reducing the number of iterations and improving the accuracy of reconstructions. To cope with regularization issues, we propose a smoothing to the shape gradient using a single layer potential associated with $ik$ where $k$ is the wave number. Numerical experiments are given for several data types (full aperture, backscattering, phaseless, multiple frequencies) and show that our method outperforms a nonaccelerated approach in terms of convergence speed, accuracy, and sensitivity to initial guesses.
欢迎广大师生参加!
报告人简介
刘晓莉,北京航空航天大学数学科学公司副教授,硕士生导师。从事波传播与散射、反问题与成像研究。主持国自然科学基金青年项目1项、北航前沿交叉基金项目1项,参与北航青年科学家团队项目1项,获得第二届中国工业与应用数学学会青年托举人才项目,在SIAM J. on Appl. Math., SIAM J. on Imag. Sc., Inverse Problems等期刊发表论文多篇。
甘肃应用数学中心伟德体育伟德体育官方网站
萃英公司
2025年11月11日