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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 137–151 (Mi zvmmf58)  

This article is cited in 6 scientific papers (total in 6 papers)

Solution of the skin effect problem with an arbitrary coefficient of specular reflection

A. V. Latyshev, A. A. Yushkanov

Moscow State Regional University, ul. Radio 10a, Moscow, 105005, Russia
References:
Abstract: An analytical solution of the skin effect problem in a metal with specular-diffuse boundary conditions is obtained. A new analytical method is developed that makes it possible to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of representing not only the boundary condition on the field in the form of a source (which is conventional) but also the boundary condition on the distribution function. The solution is obtained in the form of a von Neumann series.
Key words: skin effect in metals, specular-diffuse boundary conditions, analytical method for solving the skin effect problem, Neumann series.
Received: 08.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 131–145
DOI: https://doi.org/10.1134/S0965542509010102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Solution of the skin effect problem with an arbitrary coefficient of specular reflection”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 137–151; Comput. Math. Math. Phys., 49:1 (2009), 131–145
Citation in format AMSBIB
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\pages 137--151
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  • https://www.mathnet.ru/eng/zvmmf/v49/i1/p137
  • This publication is cited in the following 6 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:43
    First page:12
     
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