@Article{EAJAM-12-96, author = {Yue , YangMa , Fuming and Chen , Bo}, title = {Time Domain Linear Sampling Method for Inverse Scattering Problems with Cracks}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {12}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.120421.190721 }, url = {http://global-sci.org/intro/article_detail/eajam/19922.html} }