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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 2, Pages 51–66
DOI: https://doi.org/10.15393/j3.art.2019.5570 (Mi pa263) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain

P. N. Ivanshin, E. A. Shirokova

Kazan Federal University, 18 Kremlyovskaya str., Kazan 420008, Russia
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DOI: https://doi.org/10.15393/j3.art.2019.5570
Abstract: Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This analytic method gives highly accurate results. We give examples of applications of the method.
Keywords: Cauchy integral, Laplace equation, mixed boundary value problem, multiply connected domain, approximate solution.
Received: 27.06.2018
Revised: 20.12.2018
Accepted: 20.12.2018
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
MSC: 35J57, 30E10
Language: English
Citation: P. N. Ivanshin, E. A. Shirokova, “The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain”, Probl. Anal. Issues Anal., 8(26):2 (2019), 51–66
Citation in format AMSBIB
\Bibitem{IvaShi19}
\by P.~N.~Ivanshin, E.~A.~Shirokova
\paper The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 2
\pages 51--66
\mathnet{http://mi.mathnet.ru/pa263}
\crossref{https://doi.org/10.15393/j3.art.2019.5570}
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\elib{https://elibrary.ru/item.asp?id=41807041}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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