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Immersed Boundary Method for the Complete Electrode Model in Electrical Impedance Tomography (2301.02582v1)
Published 6 Jan 2023 in math.NA, cs.NA, and math.AP
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.