Solution of the Dirichlet problem in a domain containing a rounded corner. (Russian. German, English summaries) Zbl 0645.31001
Summary: 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.
MSC:
| 31A25 | Boundary value and inverse problems for harmonic functions in two dimensions |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 35B65 | Smoothness and regularity of solutions to PDEs |
