A note on the method of analytical regularization

Fikioris, G

dc.contributor.author	Fikioris, G	en
dc.date.accessioned	2014-03-01T01:16:02Z
dc.date.available	2014-03-01T01:16:02Z
dc.date.issued	2001	en
dc.identifier.issn	10459243	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13889
dc.subject	Computational electromagnetics	en
dc.subject	Fredholm integral equations	en
dc.subject	Galerkin method	en
dc.subject	Integral equations	en
dc.subject	Numerical analysis	en
dc.subject	Regularization	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Computational electromagnetics	en
dc.subject.other	Electromagnetic waves	en
dc.title	A note on the method of analytical regularization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/74.924602	en
heal.identifier.secondary	http://dx.doi.org/10.1109/74.924602	en
heal.publicationDate	2001	en
heal.abstract	Many problems of electromagnetics are governed by singular integral equations of the first kind. As recently discussed by Nosich, it is often possible to obtain a different equation describing the problem by applying the Method of Analytical Regularization, and analytically inverting part of the original equation. The transformed equation is of the second kind. Therefore, as a rule, it is usually preferable to apply a numerical method to the transformed equation than to the original one. What appears to be an exception to that rule is discussed in the present paper: Under proper conditions, and for a particular numerical method, results obtained by application to the transformed equation are shown to be identical to those obtained by application to the original equation. Some consequences of this equivalence are discussed.	en
heal.journalName	IEEE Antennas and Propagation Magazine	en
dc.identifier.doi	10.1109/74.924602	en
dc.identifier.volume	43	en
dc.identifier.issue	2	en
dc.identifier.spage	34	en
dc.identifier.epage	40	en