Title
Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains
Author
Faculty/Department
Faculty of Sciences. Bioscience Engineering
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Biology
Engineering sciences. Technology
Source (journal)
Boundary value problems. - New York, N.Y.
Volume/pages
(2013) , 11 p.
ISSN
1687-2762
1687-2770
Article Reference
253
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The Robin problem for the Helmholtz equation in normal-polar annuli is addressed by using a suitable Fourier-Hankel series 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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/3592e8/fe9475f7.pdf
E-info
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