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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 9, Pages 1587–1597 (Mi zvmmf4933)  
This article is cited in 15 scientific papers (total in 15 papers)

On the existence and uniqueness of solutions of the inverse boundary value problem for determining the dielectric permittivity of materials

D. A. Mironov, Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 440026 Russia
Full-text PDF (237 kB) Citations (15)
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Abstract: The problem of determining the permittivity of material samples of arbitrary shape placed in a rectangular waveguide with perfectly conducting walls is investigated. The problem is reduced to solving a nonlinear volume singular integral equation. A theorem on the existence and uniqueness of solutions to the nonlinear volume singular integral equation and of the inverse boundary value problem for determining the permittivity of the material is proved.
Key words: permittivity, Maxwell equations, inverse boundary value problem, volume singular integral equation, contraction principle, computational algorithm.
Received: 02.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 9, Pages 1511–1521
DOI: https://doi.org/10.1134/S0965542510090046
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: D. A. Mironov, Yu. G. Smirnov, “On the existence and uniqueness of solutions of the inverse boundary value problem for determining the dielectric permittivity of materials”, Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010), 1587–1597; Comput. Math. Math. Phys., 50:9 (2010), 1511–1521
Citation in format AMSBIB
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    • This publication is cited in the following 15 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:69
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