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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 8, Pages 1426–1436 (Mi zvmmf9727)  
This article is cited in 3 scientific papers (total in 3 papers)

Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary

S. V. Gavrilov, A. M. Denisov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (253 kB) Citations (3)
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Abstract: The problem of electrical impedance tomography in a bounded three-dimensional domain with a piecewise constant electrical conductivity is considered. The boundary of the inhomogeneity is assumed to be unknown. The inverse problem is to determine the surface that is the boundary of the inhomogeneity from given measurements of the potential and its normal derivative on the outer boundary of the domain. An iterative method for solving the inverse problem is proposed, and numerical results are presented.
Key words: electrical impedance tomography problem, piecewise constant conductivity, unknown boundary, inverse problem, iterative method.
Received: 22.02.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 8, Pages 1139–1148
DOI: https://doi.org/10.1134/S0965542512080039
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. V. Gavrilov, A. M. Denisov, “Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1426–1436; Comput. Math. Math. Phys., 52:8 (2012), 1139–1148
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:72
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