%I Institute of Physics
%N 3
%J Inverse Problems
%K acousto-electric tomography, reconstruction, total variation
%L discovery10059459
%V 35
%T Acousto-Electric Tomography with Total Variation Regularization
%D 2019
%O This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
%A B Adesokan
%A B Jensen
%A B Jin
%A K Knudsen
%X We study the numerical reconstruction problem in acousto-electric tomography of recovering the
conductivity distribution in a bounded domain from interior power density data. We propose a
numerical method for recovering discontinuous conductivity distributions, by reformulating it as
an optimization problem with L
1 fitting and total variation penalty subject to PDE constraints.
We establish continuity and differentiability results for the forward map, the well-posedness of the
optimization problem, and present an easy-to-implement and robust numerical method based on
successive linearization, smoothing and iterative reweighing. Extensive numerical experiments are
presented to illustrate the feasibility of the proposed approach.