Conditioning of generalized source integral equation formulations

Arkadi Sharshevsky, Yaniv Brick, Amir Boag

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Recent years have seen an increasing interest in the development of fast direct integral equation solvers. These do not rely on the convergence of iterative procedures for obtaining the solution. Instead, they compute a compressed factorized form of the impedance matrix resulting from the discretization of an underlying integral equation. The compressed form can then be applied to multiple right-hand sides, at a relatively low additional cost. The most common class of direct integral equation solvers exploits the rank-deficiency of off-diagonal blocks of the impedance matrix, in order to express them in a compressed manner. Such rank deficiency is inherent to problems of small size compared to the wavelength, as well as to problems of reduced dimensionality, e.g., elongated and quasi-planar problems.

Original languageEnglish
Title of host publicationProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages105
Number of pages1
ISBN (Electronic)9781728105635
DOIs
StatePublished - Sep 2019
Event21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain
Duration: 9 Sep 201913 Sep 2019

Publication series

NameProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

Conference

Conference21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Country/TerritorySpain
CityGranada
Period9/09/1913/09/19

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