Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

The Dirichlet problem for the Laplace equation in supershaped annuli

D. Caratelli
J. Gielis
Ilia Tavkhelidze
P. E. Ricci
Journal / Anthology

Boundary Value Problems
Year: 2013
Page range: 113

The Dirichlet problem for the Laplace equation in normal-polar annuli is addressed by using a suitable Fourier-like technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called ‘superformula’ introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained.

*Science > Physics
*Science > Physics > Electromagnetism