JournalszaaVol. 6, No. 1pp. 61–73

Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian)

  • V. I. Vlasov

    Computing Center, Academy of Sciences of the USSR, Moscow, USSR

  • D. B. Volkov

    Computing Center, Academy of Sciences of the USSR, Moscow, USSR

  • A. P. Prudnikov

    Computing Center, Academy of Sciences of the USSR, Moscow, USSR
Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian) cover
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Abstract

The Dirichlet problem for the Laplace equation in a circle with a notch with rounded corner is considered; the solution is found in a form that allows differentiation of any order in the domain and at the contour of the rounded-off notch. Numerical results and their analysis are presented.

Cite this article

V. I. Vlasov, D. B. Volkov, A. P. Prudnikov, Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian). Z. Anal. Anwend. 6 (1987), no. 1, pp. 61–73

DOI 10.4171/ZAA/229