Broadband analysis of multiscale electromagnetic problems: Novel incomplete-leaf MLFMA for potential integral equations

Date
2021-06-24
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Source Title
IEEE Transactions on Antennas and Propagation
Print ISSN
0018-926X
Electronic ISSN
1558-2221
Publisher
IEEE
Volume
69
Issue
12
Pages
9032 - 9037
Language
English
Type
Article
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Abstract

Recently introduced incomplete tree structures for the magnetic-field integral equation are modified and used in conjunction with the mixed-form multilevel fast multipole algorithm (MLFMA) to employ a novel broadband incomplete-leaf MLFMA (IL-MLFMA) to the solution of potential integral equations (PIEs) for scattering/radiation from multiscale open and closed surfaces. This population-based algorithm deploys a nonuniform clustering that enables to use deep levels safely and, when necessary, without compromising the accuracy resulting in an improved efficiency and a significant reduction for the memory requirements (order of magnitudes), while the error is controllable. The superiority of the algorithm is demonstrated in several canonical and real-life multiscale geometries.

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Keywords
Incomplete tree structures, Low-frequency breakdown, Multilevel fast multipole algorithm (MLFMA), Multiscale electromagnetic problems, Potential integral equations (PIEs)
Citation
Published Version (Please cite this version)