Identifying conductivity in electrical impedance tomography with total variation regularization
Analysis of PDEs
2017-09-26 v4
Abstract
In this paper we investigate the problem of identifying conductivity in electrical impedance tomography from one boundary measurement. A variational method with total variation regularization is here proposed to tackle this problem. We discretize the PDE as well as the conductivity with piecewise linear, continuous finite elements. We prove the stability and convergence of this technique. For the numerical solution we propose a projected Armijo algorithm. Finally, a numerical experiment is presented to illustrate our theoretical results.
Keywords
Cite
@article{arxiv.1609.03714,
title = {Identifying conductivity in electrical impedance tomography with total variation regularization},
author = {Michael Hinze and Barbara Kaltenbacher and Tran Nhan Tam Quyen},
journal= {arXiv preprint arXiv:1609.03714},
year = {2017}
}
Comments
31 pages with 15 figures, Numerische Mathematik, 2017