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Matematicheskoe modelirovanie, 2020, Volume 32, Number 11, Pages 59–69
DOI: https://doi.org/10.20948/mm-2020-11-05 (Mi mm4233) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity

S. V. Gavrilov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (343 kB) Citations (2)
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DOI: https://doi.org/10.20948/mm-2020-11-05
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.
Keywords: electrical impedance tomography, piecewise constant conductivity, unknown boundary, numerical method.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
Received: 20.01.2020
Revised: 20.01.2020
Accepted: 02.03.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 4, Pages 579–585
DOI: https://doi.org/10.1134/S207004822104013X
Document Type: Article
Language: Russian
Citation: S. V. Gavrilov, “Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity”, Matem. Mod., 32:11 (2020), 59–69; Math. Models Comput. Simul., 13:4 (2021), 579–585
Citation in format AMSBIB
\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 Matem. Mod.
\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}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическое моделирование
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