On the convergence properties of the method of auxiliary sources in 3D problems with open boundaries

Papakanellos, PJ; Heretakis, II; Capsalis, CN

dc.contributor.author	Papakanellos, PJ	en
dc.contributor.author	Heretakis, II	en
dc.contributor.author	Capsalis, CN	en
dc.date.accessioned	2014-03-01T01:22:51Z
dc.date.available	2014-03-01T01:22:51Z
dc.date.issued	2005	en
dc.identifier.issn	0894-3370	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16689
dc.subject	Ground effects	en
dc.subject	Method of auxiliary sources	en
dc.subject	Numerical methods	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Dielectric properties	en
dc.subject.other	Errors	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Stability	en
dc.subject.other	Auxiliary sources	en
dc.subject.other	Domains	en
dc.subject.other	Electric dipoles	en
dc.subject.other	Linear media	en
dc.subject.other	Electromagnetism	en
dc.title	On the convergence properties of the method of auxiliary sources in 3D problems with open boundaries	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/jnm.562	en
heal.identifier.secondary	http://dx.doi.org/10.1002/jnm.562	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper, the convergence behaviour of the method of auxiliary sources (MAS) is studied in cases of simple three-dimensional (3D) problems with open regions. For the assessment of the convergence behaviour in such cases in a general manner, the cases considered herein consist in elemental electric dipoles radiating in the close proximity to a planar dissipative ground. Both vertically and horizontally oriented dipoles with respect to the ground plane are examined. The aim of the study is to investigate the interrelation between the auxiliary sources locations and the resultant field continuity errors. For this, the dependence of the boundary conditions errors on the number and spacing of the auxiliary sources is exhibited and general rules regarding their behaviour are extracted. Moreover, the influence of these errors on quantities of interest is examined. Finally, a few concluding remarks are outlined and their possible utilization in cases of more composite 3D problems is discussed. Copyright © 2004 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields	en
dc.identifier.doi	10.1002/jnm.562	en
dc.identifier.isi	ISI:000226259300005	en
dc.identifier.volume	18	en
dc.identifier.issue	1	en
dc.identifier.spage	67	en
dc.identifier.epage	83	en