TY - JOUR
T1 - Time Domain Linear Sampling Method for Inverse Scattering Problems with Cracks
AU - Yue , Yang
AU - Ma , Fuming
AU - Chen , Bo
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 96
EP - 110
PY - 2021
DA - 2021/10
SN - 12
DO - http://doi.org/10.4208/eajam.120421.190721 
UR - https://global-sci.org/intro/article_detail/eajam/19922.html
KW - Time domain, inverse scattering problem, cracks, boundary integral equation, linear sampling method.
AB - <p style="text-align: justify;">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.</p>