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The Dirichlet problem for the Laplace equation in supershaped annuli

The Dirichlet problem for the Laplace equation in supershaped annuli

Abstract 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 …