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Journal Articles IEEE Transactions on Magnetics Year : 2020

Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method

Abstract

Floating potentials appear in electrokinetic problems when isolated high conductive materials are included in a dielectric or weakly conductive ambient medium. The large contrast of conductivities generates numerical issues that make hard the computation of the electric potential. The paper proposes a rigorous numerical method to tackle such kind of problems. Interestingly, a correction to the case of perfect conductor is given in order to improve the accuracy of the computation. The method involves a cascade of two elementary problems set respectively in the ambient medium and in the high conductive inclusions. An example is proposed with a 4-electrode system designed to both induce electroporation in a biological tissue sample and measure the resulting impedance. The approach is extended to a nonlinear problem by taking advantage of the iterative scheme that is necessarily applied in this case.
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Dates and versions

hal-02467851 , version 1 (07-02-2020)

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Damien Voyer, Sergio Corridore, Annabelle Collin, Riccardo Scorretti, Clair Poignard. Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method. IEEE Transactions on Magnetics, 2020, ⟨10.1109/TMAG.2019.2951942⟩. ⟨hal-02467851⟩
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