%0 Journal Article
%@ 0266-5611
%A Adesokan, B
%A Jensen, B
%A Jin, B
%A Knudsen, K
%D 2019
%F discovery:10059459
%I Institute of Physics
%J Inverse Problems
%K acousto-electric tomography, reconstruction, total variation
%N 3
%T Acousto-Electric Tomography with Total Variation Regularization
%U https://discovery.ucl.ac.uk/id/eprint/10059459/
%V 35
%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.
%Z This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.