4 research outputs found
Acousto-Electric Tomography with Total Variation Regularization
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
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.Comment: 22 pages, 30 figure