Year: 2022
Author: Yunwen Yin, Weishi Yin, Pinchao Meng, Hongyu Liu
Communications in Computational Physics, Vol. 31 (2022), Iss. 3 : pp. 869–892
Abstract
In this paper, a hybrid approach which combines linear sampling method and the Bayesian method is proposed to simultaneously reconstruct multiple obstacles. The number of obstacles and the approximate geometric information are first qualitatively obtained by the linear sampling method. Based on the reconstructions of the linear sampling method, the Bayesian method is employed to obtain more refined details of the obstacles. The well-posedness of the posterior distribution is proved by using the Hellinger metric. The Markov Chain Monte Carlo algorithm is proposed to explore the posterior density with the initial guesses provided by the linear sampling method. Numerical experiments are provided to testify the effectiveness and efficiency of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2021-0124
Communications in Computational Physics, Vol. 31 (2022), Iss. 3 : pp. 869–892
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Inverse scattering multiple obstacles linear sampling method Bayesian method hybridization.