2019/03/26 by Lorenzo Baldassari, Baldassari, Lorenzo
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Numerical methods in engineering #Numerical methods in inverse problems #math.AP #msc:35B30 #msc:35C20 #msc:35R30
paper · pdf · doi:10.48550/arxiv.1903.10814
This report introduces the mathematical framework for dealing with the reconstruction problem of a small acoustic inclusion fully developed in arXiv:2003.09806 and thus has been withdrawn by the author. In arXiv:2003.09806, which has to be intended as a revised extension of arXiv:1903.10814, typos regarding the 2D case have been corrected
arxiv created 2020/06/22 · arxiv updated 2020/06/23
This report aims at establishing a theoretical framework for dealing with the reconstruction problem of a small acoustic inclusion. The objective is to introduce the new concept of time-dependent polarization tensors for the Helmholtz equation, which will be fully investigated in a forthcoming work.