On the nature of oscillations in discretizations of the extended integral equation

Fikioris, G; Tsitsas, NL; Psarros, I

dc.contributor.author	Fikioris, G	en
dc.contributor.author	Tsitsas, NL	en
dc.contributor.author	Psarros, I	en
dc.date.accessioned	2014-03-01T01:36:33Z
dc.date.available	2014-03-01T01:36:33Z
dc.date.issued	2011	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21339
dc.subject	Convergence of numerical methods	en
dc.subject	Fredholm integral equations	en
dc.subject	scattering	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Analytical method	en
dc.subject.other	Auxiliary surface	en
dc.subject.other	Discretizations	en
dc.subject.other	Fredholm integral equations	en
dc.subject.other	Hardware and software	en
dc.subject.other	Ill-conditioning	en
dc.subject.other	matrix	en
dc.subject.other	Method of auxiliary sources	en
dc.subject.other	Surface current	en
dc.subject.other	Computer hardware	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Scattering	en
dc.subject.other	Integral equations	en
dc.title	On the nature of oscillations in discretizations of the extended integral equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2011.2109679	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2011.2109679	en
heal.identifier.secondary	5704555	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Using analytical methods, previous studies have shown that it is possible for oscillations to occur in the auxiliary surface current determined by applying the method of auxiliary sources (MAS) to problems of scattering by perfect conductors of a very simple shape. Such oscillations are inherent to MAS and would occur even in a hypothetical computer with ideal hardware and software. Because the integral equation relevant to MAS very much resembles the ""extended integral equation"" (in which the unknown is the actual surface current on the conductor), one might surmise that similar oscillations also occur in discretizations of the latter equation. In this communication, we use analytical means to show that this is not the case. Therefore, any oscillations that do occur in discretizations of the extended integral equation are - at least for ""sufficiently simple"" problems - likely to be due to matrix ill-conditioning, which magnifies errors that would otherwise be unimportant. © 2006 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Antennas and Propagation	en
dc.identifier.doi	10.1109/TAP.2011.2109679	en
dc.identifier.isi	ISI:000289205200043	en
dc.identifier.volume	59	en
dc.identifier.issue	4	en
dc.identifier.spage	1415	en
dc.identifier.epage	1419	en