Detecting stochastic inclusions in electrical impedance tomography
Analysis of PDEs
2018-10-11 v1
Abstract
This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conductivity can be identified by applying the Factorization Method or the Monotonicity Method to the mean value of the corresponding Neumann-to-Dirichlet map provided that the anomaly has high enough contrast in the sense of expectation. The theoretical results are complemented by numerical examples in two spatial dimensions.
Cite
@article{arxiv.1706.03962,
title = {Detecting stochastic inclusions in electrical impedance tomography},
author = {Andrea Barth and Bastian Harrach and Nuutti Hyvönen and Lauri Mustonen},
journal= {arXiv preprint arXiv:1706.03962},
year = {2018}
}
Comments
16 pages, 5 figures