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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1756–1766
DOI: https://doi.org/10.7868/S0044466914090063 (Mi zvmmf10111) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary

S. V. Gavrilov, A. M. Denisov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914090063
Abstract: The two-dimensional electrical impedance tomography problem is considered in the case of a piecewise constant electrical conductivity. The task is to determine the unknown boundary separating the regions with different conductivity values, which are known. Input information is the electric field measured on a portion of the outer boundary of the domain. A numerical method for solving the problem is proposed, and numerical results are presented.
Key words: electrical impedance tomography, piecewise constant conductivity, method of boundary integral equations, Tikhonov regularization.
Received: 28.02.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1690–1699
DOI: https://doi.org/10.1134/S0965542514090061
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. V. Gavrilov, A. M. Denisov, “Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1756–1766; Comput. Math. Math. Phys., 54:11 (2014), 1690–1699
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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