This paper is concerned with computational approaches and mathematical analysis for
solving inverse scattering problems in the frequency domain. The problems arise in a …

The generalized finite difference method (GFDM) is a relatively new domain-type meshless
method for the numerical solution of certain boundary value problems. This paper …

This paper is concerned with an inverse source problem that determines the source from
measurements of the radiated fields away at multiple frequencies. Rigorous stability …

This paper concerns the inverse source problems for the time-harmonic elastic and
electromagnetic wave equations. The goal is to determine the external force and the electric …

We consider the inverse problem of identifying the location and shape of a finitely supported
acoustic source function, separable with respect to space and frequency, from …

An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field
with multifrequency measurement data. Under additional regularity assumptions on source …

Similar to the obstacle or medium scattering problems, an important property of the
phaseless far field patterns for source scattering problems is the translation invariance. Thus …

We consider an inverse source problem for the Helmholtz equation. This is concerned with
the reconstruction of an unknown source from multi-frequency data obtained from the …

In this paper, we show for the first time the stability of the inverse source problem for the
three-dimensional Helmholtz equation in an inhomogeneous background medium. The …

This paper is concerned with the inverse source problem of reconstructing an unknown
acoustic excitation from phaseless measurements of the radiated fields away at multiple …