Year: 2022
Author: Yang Yue, Fuming Ma, Bo Chen
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 96–110
Abstract
The paper analyses time-dependent scattering and inverse scattering problems with cracks. The well-posedness of the forward scattering problem is proved and a modified retarded potential boundary integral equation method is utilised to solve the forward problem. Besides, the inverse scattering problem of finding the cracks by using measured scattered data is considered. A time domain linear sampling method for inverse problems is developed and the blow-up property is proved. The computation scheme is relatively simple and easy to implement. Numerical examples demonstrate the effectiveness of the methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.120421.190721
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 96–110
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Time domain inverse scattering problem cracks boundary integral equation linear sampling method.