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

  • V.I. Vlakov

    Moscow, Russian Federation
  • D.B. Volkov

    Moscow, Russian Federation
  • A.P. Prudnikov

    Moscow, Russian Federation

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