Print Email Facebook Twitter The Robin problem for the Helmholtz equation in a starlike planar domain Title The Robin problem for the Helmholtz equation in a starlike planar domain Author Caratelli, D. Gielis, J. Natalini, P. Ricci, P.E. Tavkhelidze, I. Faculty Electrical Engineering, Mathematics and Computer Science Department Telecommunications Date 2011-07-31 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. Subject Robin problemHelmholtz equationstarlike domainFourier series To reference this document use: http://resolver.tudelft.nl/uuid:4ee7ef93-1244-42f6-a9e8-064c431e9bcc Publisher De Gruyter Embargo date 2013-02-28 ISSN 1072-947X Source Georgian Mathematical Journal 18(3), 465-479. (2011) Part of collection Institutional Repository Document type journal article Rights (c) 2011 Caratelli, D., Gielis, J., Natalini, P., Ricci, P.E., Tavkhelidze, I., The Publisher Files PDF gmj.2011.0031.pdf.pdf 2.68 MB Close viewer /islandora/object/uuid:4ee7ef93-1244-42f6-a9e8-064c431e9bcc/datastream/OBJ/view