Publication
Title
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell
Author
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.
Language
English
Source (journal)
Applied mathematics. - Irvine, CA, 2009, currens
Publication
Irvine, CA : Scientific Research Publishing, Inc, 2013
ISSN
2152-7385
Volume/pages
4:1A(2013), p. 263-270
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Record
Identification
Creation 11.04.2013
Last edited 22.11.2016
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