Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Analysis of PDEs
2018-03-20 v1 Numerical Analysis
Abstract
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.
Keywords
Cite
@article{arxiv.1707.08413,
title = {Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT},
author = {Elena Beretta and Stefano Micheletti and Simona Perotto and Matteo Santacesaria},
journal= {arXiv preprint arXiv:1707.08413},
year = {2018}
}