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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 2, Pages 291–297 (Mi zvmmf3311)  

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

Investigation of an equation of electrophysics

V. V. Dyakin, V. Ya. Raevskii

Sverdlovsk
Full-text PDF (852 kB) Citations (6)
References:
Abstract: The vector integral equation
$$ \alpha\mathbf M+\nabla\int_\Omega\mathbf M\nabla|x-y|^{-1}\,dy=\mathbf H,\qquad\alpha\ge0,\quad\Omega\subset\mathbb R^3, $$
encountered in classical problems of electrostatics and magnetostatics, is investigated. The structure and properties of its solutions are investigated by studying the corresponding integral operator, and a numerical method is proposed.
Received: 24.04.1989
Revised: 22.06.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 1, Pages 213–217
DOI: https://doi.org/10.1016/0041-5553(90)90031-M
Bibliographic databases:
Document Type: Article
UDC: 517.958:537.812
Language: Russian
Citation: V. V. Dyakin, V. Ya. Raevskii, “Investigation of an equation of electrophysics”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990), 291–297; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 213–217
Citation in format AMSBIB
\Bibitem{DyaRae90}
\by V.~V.~Dyakin, V.~Ya.~Raevskii
\paper Investigation of an equation of electrophysics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 2
\pages 291--297
\mathnet{http://mi.mathnet.ru/zvmmf3311}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1045426}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 1
\pages 213--217
\crossref{https://doi.org/10.1016/0041-5553(90)90031-M}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i2/p291
  • 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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    Abstract page:268
    Full-text PDF :93
    References:63
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