报告人: Prof. Liu, Xiaodong, Institute of Applied Mathematics, AMSS, CAS

时间:  2016年9月19号3:00-4:00pm.

地点:  人民大学环境楼316会议室

题目：A fast and robust sampling method for inverse acoustic scattering problems

摘要：A sampling method by using far field measurements is proposed for shape and location reconstruction in inverse acoustic scattering problems. The key ingredient of this method is a novel indicator function. Only inner products are involved in the computation, which makes the method very easy and simple to implement. With the help of the factorization of the far field operator, we establish an inf-criterion for characterization of underlying scatters. This result is then used to give a lower bound of the proposed indicator function for sampling points inside the scatters. While for the sampling points outside the scatters, we show that the indicator function decays as the sampling point goes away from the boundary of the scatters. We also show that the proposed method is extremely stable with respect to errors in the data. Some numerical experiments are presented to demonstrate the feasibility and effectiveness of our method.