A Numerically Efficient Technique For Handling Ill-Conditioned Mom Matrices

Keywords

internal resonance; low-frequency breakdown; MoM; pre-conditioning; SVD

Abstract

This paper presents a technique for handling Method of Moments (MoM) matrices with high condition numbers, by utilizing a matrix conditioning approach based on the Singular Value-Decomposition (SVD) algorithm. The proposed technique is robust, and it can be applied to a variety of ill-conditioned matrices, regardless of the source of their ill-conditioning. We show, for example, that the proposed technique is capable of handling, with equal ease, MoM matrices that are ill-conditioned either because of internal resonance, or low-frequency breakdown, or even because of poor meshing of multiscale geometries. Illustrative examples are included to demonstrate the efficacy of the method for several representative problems.

Publication Date

3-26-2018

Publication Title

Applied Electromagnetics Conference, AEMC 2017

Volume

2018-January

Number of Pages

1-2

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/AEMC.2017.8325665

Socpus ID

85050460713 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85050460713

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