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Matematicheskoe modelirovanie, 2015, Volume 27, Number 11, Pages 95–109 (Mi mm3671)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary

S. V. Gavrilov, A. M. Denisov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (339 kB) Citations (2)
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Abstract: A three-dimentional electrical impedance tomography problem in case of object with a piecewise constant electrical conductivity is considered. The task is to determine the unknown boundary separating regions of object with different conductivity values, which are assumed to be known. Initial data for determination of inhomogeneity boundary represents electrical measurements taken on part of the object boundary. A numerical method for solving the problem is proposed, and numerical results are presented.
Keywords: electrical impedance tomography, piecewise constant conductivity, method of boundary integral equations, Tikhonov regularization.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00244
Received: 02.02.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 4, Pages 369–381
DOI: https://doi.org/10.1134/S2070048216040098
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: S. V. Gavrilov, A. M. Denisov, “Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary”, Matem. Mod., 27:11 (2015), 95–109; Math. Models Comput. Simul., 8:4 (2016), 369–381
Citation in format AMSBIB
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\by S.~V.~Gavrilov, A.~M.~Denisov
\paper Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 11
\pages 95--109
\mathnet{http://mi.mathnet.ru/mm3671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3547140}
\elib{https://elibrary.ru/item.asp?id=25707574}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 4
\pages 369--381
\crossref{https://doi.org/10.1134/S2070048216040098}
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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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