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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 3, Pages 321–327 (Mi sjvm483)  
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of charges screening an external coaxial electric field on the surface of a conducting axial symmetric body

A. O. Savchenkoa, O. Ya. Savchenkob

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (173 kB) Citations (2)
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Abstract: A one-dimensional integral equation for finding charges on the surface of a conducting axially symmetric body is given. For the case of an ellipsoid of rotation in the electric field with polynomial values on the axis of symmetry an exact solution is obtained. The axis of symmetry of the body and the axis of the external field coincide with each other. A numerical algorithm, based on a combination of the projective method and the method of iterative regularization for solving the first kind Fredholm equations, is proposed. The projectors were chosen as B-splines. The charges calculated for the ellipsoid of rotation are close to analytical ones.
Key words: charges, electric field, potential, conductor, axially symmetric, screening, first kind Fredholm equations, B-splines.
Received: 12.07.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 3, Pages 265–270
DOI: https://doi.org/10.1134/S1995423912030081
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. O. Savchenko, O. Ya. Savchenko, “Calculation of charges screening an external coaxial electric field on the surface of a conducting axial symmetric body”, Sib. Zh. Vychisl. Mat., 15:3 (2012), 321–327; Num. Anal. Appl., 5:3 (2012), 265–270
Citation in format AMSBIB
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\by A.~O.~Savchenko, O.~Ya.~Savchenko
\paper Calculation of charges screening an external coaxial electric field on the surface of a~conducting axial symmetric body
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 3
\pages 321--327
\mathnet{http://mi.mathnet.ru/sjvm483}
\elib{https://elibrary.ru/item.asp?id=20479454}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 3
\pages 265--270
\crossref{https://doi.org/10.1134/S1995423912030081}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865817264}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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