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Journal Articles Journal of Computational Physics Year : 2023

Immersed Boundary Method for the Complete Electrode Model in Electrical Impedance Tomography

Abstract

We propose an immersed boundary scheme for the numerical resolution of the Complete Electrode Model in Electrical Impedance Tomography, that we use as a main ingredient in the resolution of inverse problems in medical imaging. Such method allows to use a Cartesian mesh without accurate discretization of the boundary, which is useful in situations where the boundary is complicated and/or changing. We prove the convergence of our method, and illustrate its efficiency with two dimensional direct and inverse problems.
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hal-03904013 , version 1 (16-12-2022)

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Jérémi Dardé, Niami Nasr, Lisl Weynans. Immersed Boundary Method for the Complete Electrode Model in Electrical Impedance Tomography. Journal of Computational Physics, 2023, 487, pp.112150. ⟨10.1016/j.jcp.2023.112150⟩. ⟨hal-03904013⟩
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