Computational cost estimations and comparisons for three methods of applied electromagnetics (MoM, MAS, MMAS)

Avdikos, GK; Anastassiu, HT

dc.contributor.author	Avdikos, GK	en
dc.contributor.author	Anastassiu, HT	en
dc.date.accessioned	2014-03-01T01:22:00Z
dc.date.available	2014-03-01T01:22:00Z
dc.date.issued	2005	en
dc.identifier.issn	1045-9243	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16438
dc.subject	(Modified) method of auxiliary sources	en
dc.subject	Complexity theory	en
dc.subject	Computational electromagnetics	en
dc.subject	Electromagnetic analysis	en
dc.subject	Integration	en
dc.subject	Microstrip antennas	en
dc.subject	Moment methods	en
dc.subject	Numerical analysis	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computational complexity	en
dc.subject.other	Electromagnetic wave scattering	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Integration	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Method of moments	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Vectors	en
dc.subject.other	Complexity theory	en
dc.subject.other	Computaional electromagnetics	en
dc.subject.other	Electromagnetic analysis	en
dc.subject.other	Method of auxiliary sources	en
dc.subject.other	Microstrip antennas	en
dc.title	Computational cost estimations and comparisons for three methods of applied electromagnetics (MoM, MAS, MMAS)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/MAP.2005.1436248	en
heal.identifier.secondary	http://dx.doi.org/10.1109/MAP.2005.1436248	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The computational costs of three numerical techniques used in electromagnetics, namely the Moment Method (MoM), the Method of Auxiliary Sources (MAS), and its modified version (MMAS), are estimated for various calculation schemes and configurations. Both surface and volumetric problems are considered. The number of multiplications required for the system-matrix fill is calculated and added to the algorithmic cost of the matrix inversion. The Green's function singularity extraction is also taken into account, particularly for the MoM. The original integrals are transformed into the local (area or volume) coordinate systems, and are subsequently evaluated on the basis of standard numerical quadrature schemes. For the surface integral equation (SIE), some calculations using either the well-known Duffy Transformations or some analytical-numerical integration schemes are also presented (expressions are available only for the scalar potential integral case). For the MAS and MMAS, the matrix fill is shown to be much faster, since no time-consuming integrations are involved. The analysis is applied to various objects, such as a perfectly conducting (PEC) parallelepiped, a PEC sphere, and a microstrip patch antenna, and useful conclusions are drawn on the relative efficiency of the three methods.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Antennas and Propagation Magazine	en
dc.identifier.doi	10.1109/MAP.2005.1436248	en
dc.identifier.isi	ISI:000229121900010	en
dc.identifier.volume	47	en
dc.identifier.issue	1	en
dc.identifier.spage	121	en
dc.identifier.epage	129	en