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. © 2013 Caratelli et al.; licensee Springer.
CITATION STYLE
Caratelli, D., Gielis, J., Tavkhelidze, I., & Ricci, P. E. (2013). The Dirichlet problem for the Laplace equation in supershaped annuli. Boundary Value Problems, 2013. https://doi.org/10.1186/1687-2770-2013-113
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