报告题目 (Title)：Advanced integral equation solvers for the layered-medium scattering problems(分层介质散射问题的高级积分方程求解器)

报告人 (Speaker)：殷涛 副研究员（中国科学院数学与系统科学研究院）

报告时间 (Time)：2023年9月6日(周三) 9:00

报告地点 (Place)：校本部A101、腾讯会议号：509-917-867 (无密码)

邀请人(Inviter)：侯宝慧

主办部门：理学院数学系

报告摘要：This talk will present our recent works on the fast and highly accurate boundary integral equation (BIE) methods for solving the acoustic and electromagnetic wave scattering problems in both two- and three- dimensional layered-medium. The original scattering problem can be truncated onto a bounded domain by the PML. Assuming the vanishing of the scattered field on the PML boundary, BIEs on local defects are derived only in terms of using the PML-transformed free-space Green's function. New regularize formulations are proposed to simplify the calculation of the hyper-singular integrals. A high-order Chebyshev-based Rectangular-polar singular-integration solver is used in numerical implementation. Numerical experiments for both two- and three-dimensional problems will be presented to demonstrate the accuracy and efficiency of the proposed solvers.