学术报告：2021年 09月17日 10:30-11:30，中国科学院数学与系统科学研究院-殷涛

殷涛

单   位

中国科学院数学与系统科学研究院

报告时间

2021年9月17日

10:30至11:30

报告地点

腾讯会议号：

551 640 119

报告题目

A hybrid boundary integral equation solver for wave equation problem in an interior domain

报告摘要

This talk will present a frequency-time hybrid solver for the time-dependent wave equation over a two-dimensional interior spatial domain. The approach relies on four main elements, namely, 1) A multiple scattering strategy that decomposes a given time-domain problem into a sequence of limited-duration time-domain problems of scattering by open-arcs, each one of which are reduced (by means of the Fourier transform) to a fixed sequence of frequency-domain problems; 2) "Spatially windowed" boundary integral equations on overlapping boundary patches (which do not suffer from solution singularity at the open-arc endpoints), for the solution of the frequency-domain problems in point 1); 3) A smooth "Time-windowing and recentering" methodology that enables both treatment of incident signals of long duration and long time simulation; and, 4) A Fourier transform algorithm that delivers numerically dispersionless, spectrally-accurate time evolution for given incident fields. Numerical examples will be presented which demonstrate the accuracy and efficiency of the proposed methodology.

报告人简介

殷涛，中国科学院数学与系统科学研究院副研究员，2015年博士毕业于重庆大学，曾在德国柏林工业大学CSC联合培养，先后在浙江大学、法国格勒诺布尔大学、美国加州理工学院从事博士后研究工作。主要研究兴趣在边界积分方程、波散射正反问题的理论和数值方法，已在SIAM 系列期刊，Numer. Math.，J. Comput. Phys.，J. Math. Pures Appl.，Inverse Problems，Comput. Methods Appl. Mech. Engrg.，Int. J. Numer. Meth. Eng.等应用和计算数学期刊上发表论文20余篇。