Publication
Title
The Robin problem for the Helmholtz equation in a starlike planar domain
Author
Abstract
The interior and exterior Robin problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so-called superformula introduced by J. Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. The computed results are found to be in good agreement with the theoretical findings on Fourier series expansion presented by L. Carleson.
Language
Dutch
Source (journal)
Georgian mathematical journal. - Lemgo, 1994, currens
Publication
Lemgo : 2011
ISSN
1072-947X
Volume/pages
18:3(2011), p. 465-479
ISI
000296166100004
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 06.09.2011
Last edited 26.05.2017
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