Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Code:
41/2017
Title:
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Date:
Wednesday 26th July 2017
Author(s):
Beretta, E.; Micheletti, S.; Perotto, S.; Santacesaria, M.
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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.