应6163银河线路检测中心郭玉坤副教授的邀请,浙江大学数学科学学院赖俊研究员将于近日来访公司,进行学术交流并做一场关于声波散射问题中积分方程方法的学术讲座。以下是报告信息,欢迎感兴趣的师生参加。
时间:2019年7月30日(星期二)下午16:00-17:00
地点:格物楼503报告厅
题目:Hybrid integral equations for the scattering problem in a layered medium
摘要:Helmholtz equation in a layered medium has important applications in submarine detection, meta-material design and many other inverse problems. Conventional numerical methods like finite difference and finite element with perfect matched layer (PML) truncation require discretizing the equation in the whole domain. On the other hand, boundary integral method (BIE) would reduce the dimension by one and greatly reduce the computational cost. However, it suffers from the slow convergence for the Green's function evaluation in a layered medium. In this talk, we will introduce two hybrid integral equation methods to solve the scattering problem in a layered medium. One is based on the combination of physical densities and Fourier densities for BIE. Another one is based on the combination of PML and BIE. The convergence and numerical results will be discussed.
报告人简介:赖俊2013年从密歇根州立大学获得应用数学博士学位,2013-2014年在纽约大学库朗研究所做博士后,2014-2016年为库朗所讲师(Courant Instructor)。2016年入职浙江大学数学科学学院任特聘研究员。主要的研究方向为声波和电磁散射,积分方程快速算法,数值优化等。