Abstract

We developed two types of semismooth Newton methods for reconstructing the acoustic source with boundary measurements. Due to the nonuniqueness of inverse scattering for reconstructing the acoustic sources in the frequency domain, the Radon measure is employed for regularization and sparsity. We also compared with Chambolle and Pock's first-order primal-dual method to show the efficiency of the proposed semismooth Newton methods for two-dimensional cases.