Title
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell
Author
Faculty/Department
Faculty of Sciences. Bioscience Engineering
Publication type
article
Publication
Irvine, CA :Scientific Research Publishing, Inc ,
Subject
Mathematics
Biology
Engineering sciences. Technology
Source (journal)
Applied mathematics. - Irvine, CA, 2009, currens
Volume/pages
4(2013) :1A , p. 263-270
ISSN
2152-7385
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of 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/6e877f/f4054f85.pdf
Handle