Preconditioning techniques for the method of auxiliary sources applied to geometries characterized as perturbations of a circle

Voulais, AT; Avdikos, GK; Anastassiu, HT

dc.contributor.author	Voulais, AT	en
dc.contributor.author	Avdikos, GK	en
dc.contributor.author	Anastassiu, HT	en
dc.date.accessioned	2014-03-01T02:44:09Z
dc.date.available	2014-03-01T02:44:09Z
dc.date.issued	2006	en
dc.identifier.issn	03796566	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31718
dc.subject	Cross Section	en
dc.subject	Linear System	en
dc.subject	Method of Auxiliary Sources	en
dc.subject.other	Circular waveguides	en
dc.subject.other	Computational geometry	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Auxiliary surfaces	en
dc.subject.other	Method of auxiliary sources (MAS)	en
dc.subject.other	Preconditioning techniques	en
dc.subject.other	Problem solving	en
dc.title	Preconditioning techniques for the method of auxiliary sources applied to geometries characterized as perturbations of a circle	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/EUCAP.2006.4585029	en
heal.identifier.secondary	http://dx.doi.org/10.1109/EUCAP.2006.4585029	en
heal.publicationDate	2006	en
heal.abstract	Two versions of a preconditioning procedure are described for a class of two-dimensional scattering problems, when the latter are solved via the Method of Auxiliary Sources (MAS). The method is useful for the case of shrinking auxiliary surfaces, i.e. when the linear system may become ill-conditioned. If the cross sectional boundary can be regarded as a deformation of a circle, the MAS matrix is shown to be quasi-circulant, as expected intuitively. By utilizing the circulant properties of the matrix pertaining to the original circular configuration, the perturbed system is transformed to a quasi-diagonal one, whose inversion is a numerically stable operation.	en
heal.journalName	European Space Agency, (Special Publication) ESA SP	en
dc.identifier.doi	10.1109/EUCAP.2006.4585029	en
dc.identifier.volume	626 SP	en