Solving very large scattering problems using a parallel PWTD-enhanced surface integral equation solver

Yang Liu, Hakan Bagci, Eric Michielssen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The computational complexity and memory requirements of multilevel plane wave time domain (PWTD)-accelerated marching-on-in-time (MOT)-based surface integral equation (SIE) solvers scale as O(NtNs(log 2)Ns) and O(Ns 1.5); here N t and Ns denote numbers of temporal and spatial basis functions discretizing the current [Shanker et al., IEEE Trans. Antennas Propag., 51, 628-641, 2003]. In the past, serial versions of these solvers have been successfully applied to the analysis of scattering from perfect electrically conducting as well as homogeneous penetrable targets involving up to Ns ≈ 0.5 × 106 and Nt ≈ 10 3. To solve larger problems, parallel PWTD-enhanced MOT solvers are called for. Even though a simple parallelization strategy was demonstrated in the context of electromagnetic compatibility analysis [M. Lu et al., in Proc. IEEE Int. Symp. AP-S, 4, 4212-4215, 2004], by and large, progress in this area has been slow. The lack of progress can be attributed wholesale to difficulties associated with the construction of a scalable PWTD kernel. © 2013 IEEE.
Original languageEnglish (US)
Title of host publication2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781479911295
DOIs
StatePublished - Jul 2013

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

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