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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1209–1213 (Mi zvmmf4561)  

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

A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)

S. E. Kholodovskii

Institute of Natural Resources, Ecology, and Cryology, Siberian Branch, Russian Academy of Sciences, ul. Butina 26, Chita, 672090, Russia
Full-text PDF (588 kB) Citations (6)
References:
Abstract: In the framework of the theory of harmonic functions, potentials of steady state processes (heat conduction, filtration, or electrostatics) in the piecewise inhomogeneous plane separated by a rectilinear strongly permeable crack or by a weakly permeable screen into two half-planes with quadratic permeability functions are constructed. The motion is induced by given singular points of the potential (sources, sinks, etc.). Compact formulas that directly express potentials in these domains in terms of harmonic functions are obtained; the resulting functions map the set of harmonic functions to the set of potentials conserving the type of singularities.
Key words: problems of mathematical physics in piecewise homogeneous domains, method of harmonic functions, method of Fourier series.
Received: 21.04.2007
Revised: 13.12.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 7, Pages 1140–1144
DOI: https://doi.org/10.1134/S0965542508070075
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. E. Kholodovskii, “A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1209–1213; Comput. Math. Math. Phys., 48:7 (2008), 1140–1144
Citation in format AMSBIB
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\pages 1209--1213
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  • https://www.mathnet.ru/eng/zvmmf/v48/i7/p1209
  • 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:512
    Full-text PDF :142
    References:84
    First page:5
     
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