Parallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation

Handle URI:
http://hdl.handle.net/10754/604702
Title:
Parallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation
Authors:
Liu, Yang; Al-Jarro, Ahmed; Bagci, Hakan ( 0000-0003-3867-5786 ) ; Michielssen, Eric
Abstract:
A parallel plane-wave time-domain (PWTD)-accelerated explicit marching-on-in-time (MOT) scheme for solving the time domain electric field volume integral equation (TD-EFVIE) is presented. The proposed scheme leverages pulse functions and Lagrange polynomials to spatially and temporally discretize the electric flux density induced throughout the scatterers, and a finite difference scheme to compute the electric fields from the Hertz electric vector potentials radiated by the flux density. The flux density is explicitly updated during time marching by a predictor-corrector (PC) scheme and the vector potentials are efficiently computed by a scalar PWTD scheme. The memory requirement and computational complexity of the resulting explicit PWTD-PC-EFVIE solver scale as ( log ) s s O N N and ( ) s t O N N , respectively. Here, s N is the number of spatial basis functions and t N is the number of time steps. A scalable parallelization of the proposed MOT scheme on distributed- memory CPU clusters is described. The efficiency, accuracy, and applicability of the resulting (parallelized) PWTD-PC-EFVIE solver are demonstrated via its application to the analysis of transient electromagnetic wave interactions on canonical and real-life scatterers represented with up to 25 million spatial discretization elements.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Citation:
Parallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation 2016:1 IEEE Transactions on Antennas and Propagation
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
25-Mar-2016
DOI:
10.1109/TAP.2016.2546964
Type:
Article
ISSN:
0018-926X; 1558-2221
Sponsors:
This work was supported in part by the AFOSR/NSSEFF Program under Award FA9550-10-1-0180 and the National Science Foundation (NSF) under Grant CCF 1116082.
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7442102
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Yangen
dc.contributor.authorAl-Jarro, Ahmeden
dc.contributor.authorBagci, Hakanen
dc.contributor.authorMichielssen, Ericen
dc.date.accessioned2016-04-07T09:19:07Zen
dc.date.available2016-04-07T09:19:07Zen
dc.date.issued2016-03-25en
dc.identifier.citationParallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equation 2016:1 IEEE Transactions on Antennas and Propagationen
dc.identifier.issn0018-926Xen
dc.identifier.issn1558-2221en
dc.identifier.doi10.1109/TAP.2016.2546964en
dc.identifier.urihttp://hdl.handle.net/10754/604702en
dc.description.abstractA parallel plane-wave time-domain (PWTD)-accelerated explicit marching-on-in-time (MOT) scheme for solving the time domain electric field volume integral equation (TD-EFVIE) is presented. The proposed scheme leverages pulse functions and Lagrange polynomials to spatially and temporally discretize the electric flux density induced throughout the scatterers, and a finite difference scheme to compute the electric fields from the Hertz electric vector potentials radiated by the flux density. The flux density is explicitly updated during time marching by a predictor-corrector (PC) scheme and the vector potentials are efficiently computed by a scalar PWTD scheme. The memory requirement and computational complexity of the resulting explicit PWTD-PC-EFVIE solver scale as ( log ) s s O N N and ( ) s t O N N , respectively. Here, s N is the number of spatial basis functions and t N is the number of time steps. A scalable parallelization of the proposed MOT scheme on distributed- memory CPU clusters is described. The efficiency, accuracy, and applicability of the resulting (parallelized) PWTD-PC-EFVIE solver are demonstrated via its application to the analysis of transient electromagnetic wave interactions on canonical and real-life scatterers represented with up to 25 million spatial discretization elements.en
dc.description.sponsorshipThis work was supported in part by the AFOSR/NSSEFF Program under Award FA9550-10-1-0180 and the National Science Foundation (NSF) under Grant CCF 1116082.en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7442102en
dc.rights(c) 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.subjectTime domain electric field volume integral equation (TD-EFVIE)en
dc.subjectexplicit marching- on-in-time (MOT) schemeen
dc.subjectlarge-scale problems, transient analysisen
dc.subjectplane-wave time-domain algorithm (PWTD)en
dc.subjectpredictor-corrector schemeen
dc.titleParallel PWTD-Accelerated Explicit Solution of the Time Domain Electric Field Volume Integral Equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109, USAen
dc.contributor.institutionDepartment of Electronic and Electrical Engineering, University College London, London WC1E7JE, UKen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorBagci, Hakanen
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