Solution of the Dirichlet problem in a domain with a boundary containing a rounded corner (in Russian)
V.I. Vlakov
Moscow, Russian FederationD.B. Volkov
Moscow, Russian FederationA.P. Prudnikov
Moscow, Russian Federation
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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. Vlakov, 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