数学科学学院学术报告
Multi-patch multiple-scattering algorithm
殷涛
（中国科学院数学与系统科学研究院）
报告时间： 2024年8月30日（周五）
报告地点： 沙河主E602 10：00-10：45
报告摘要：This talk will present our recent works on the Fourier transform based boundary integral equation method for solving the time-domain wave equation problems. For the problem exterior to multiple closed/open obstacles, relying on the Huygens-like domain-of-influence, a new multiple scattering strategy is proposed to decompose the original problem into a sequence of wave equation sub-problems, each of which is only imposed on a single closed/open obstacle. To treat the interior problem, based on a partitioning of the closed curve of the obstacle into an arbitrary number of overlapping open arcs and well-designed iterated boundary conditions, the multiple scattering strategy allows to decompose the interior problem into a sequence of exterior wave equation sub-problems. At each step of the multiple scattering, the solutions to sub-problems can be evaluated in parallel and by means of the Fourier transform, each one can be reduced to a Helmholtz frequency-domain problem for which the corresponding boundary integral equation, that are uniquely solvable for all real frequencies, can be constructed. Numerical examples will be presented to 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，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，入选国家海外高层次人才青年项目和中科院引才计划，主持国自然面上、GF科技创新项目和中国科学院基础与交叉前沿科研先导专项子课题。获第十三届全国反问题年会优秀青年学术奖。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，成果发表在SIAM 系列期刊，Numer. Math.，Math. Comput., J. Comput. Phys.，J. Math. Pures Appl.等期刊上。
邀请人： 刘晓莉
