Title
The Robin problem for the Helmholtz equation in a starlike planar domain The Robin problem for the Helmholtz equation in a starlike planar domain
Author
Faculty/Department
Faculty of Sciences. Bioscience Engineering
Publication type
article
Publication
Lemgo ,
Subject
Mathematics
Source (journal)
Georgian mathematical journal. - Lemgo, 1994, currens
Volume/pages
18(2011) :3 , p. 465-479
ISSN
1072-947X
ISI
000296166100004
Carrier
E
Target language
Dutch (dut)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
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