This article is cited in 3 scientific papers (total in 3 papers)
Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity
Abstract:
A two-dimentional electrical impedance tomography problem in case of piecewise constant electrical conductivity taking two known values is considered. The task is to determine the unknown boundary separating regions with different conductivity values. Initial
data represents several pairs of current and voltage distributions on the outer boundary of
an object. A numerical method for determining the unknown boundary is proposed, numerical results are presented.
Citation:
S. V. Gavrilov, “Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity”, Mat. Model., 32:11 (2020), 59–69; Math. Models Comput. Simul., 13:4 (2021), 579–585
\Bibitem{Gav20}
\by S.~V.~Gavrilov
\paper Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity
\jour Mat. Model.
\yr 2020
\vol 32
\issue 11
\pages 59--69
\mathnet{http://mi.mathnet.ru/mm4233}
\crossref{https://doi.org/10.20948/mm-2020-11-05}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 579--585
\crossref{https://doi.org/10.1134/S207004822104013X}
Linking options:
https://www.mathnet.ru/eng/mm4233
https://www.mathnet.ru/eng/mm/v32/i11/p59
This publication is cited in the following 3 articles:
A. Yu. Shcheglov, S. V. Netessov, “On Recovering Two Parameters in the Quasilinear Model of Population Dynamics with Age Structuring”, Comput Math Model, 2025
A. Yu. Shcheglov, “Uniqueness of the Solution of the Inverse Problem for a Model of the Dynamics of an Age-Structured Population”, Math. Notes, 111:1 (2022), 139–146
A. Yu. Shcheglov, O. A. Andreyanova, “The Inverse Problem for the Nonhomogeneous Oscillation Equation on a Half-Line with a Boundary Condition of the Third Kind”, Comput Math Model, 33:1 (2022), 9
Citation in format AMSBIB
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