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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/pa263
https://www.mathnet.ru/eng/pa/v26/i2/p51
This publication is cited in the following 1 articles:
Mohamed M.S. Nasser, Matti Vuorinen, “Numerical computation of the capacity of generalized condensers”, Journal of Computational and Applied Mathematics, 377 (2020), 112865
Citation in format AMSBIB
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