TY - JOUR
T1 - The neumann problem for the helmholtz equation in a starlike planar domain
AU - Caratelli, D
AU - Natalini, P
AU - Ricci, PE
AU - Yarovoy, A
PY - 2010
Y1 - 2010
N2 - The interior and exterior Neumann 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 Gielis. A dedicated numerical procedure based on a computer algebra system is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson.
AB - The interior and exterior Neumann 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 Gielis. A dedicated numerical procedure based on a computer algebra system is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson.
KW - journal letters, notes, etc.
KW - CWTS 0.75 <= JFIS < 2.00
UR - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TY8-4Y95RG0-3&_user=499885&_coverDate=03%2F15%2F2010&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1435599230&_rerunOrigin=google&_acct=C000024500&_version=1&_urlVersion=0&_userid=499885&md5=0e038f1211ecbe56f7d44865a5a6f213
M3 - Article
SN - 0096-3003
VL - 216
SP - 556
EP - 564
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -