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

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

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.

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 1987-02, Vol.6 (1), p.61-73
Hauptverfasser: Vlakov, V.I, Prudnikov, A.P, Volkov, D.B
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/229