A space-time mixed galerkin marching-on-in-time scheme for the time-domain combined field integral equation

Handle URI:
http://hdl.handle.net/10754/562676
Title:
A space-time mixed galerkin marching-on-in-time scheme for the time-domain combined field integral equation
Authors:
Beghein, Yves; Cools, Kristof; Bagci, Hakan ( 0000-0003-3867-5786 ) ; De Zutter, Daniël
Abstract:
The time domain combined field integral equation (TD-CFIE), which is constructed from a weighted sum of the time domain electric and magnetic field integral equations (TD-EFIE and TD-MFIE) for analyzing transient scattering from closed perfect electrically conducting bodies, is free from spurious resonances. The standard marching-on-in-time technique for discretizing the TD-CFIE uses Galerkin and collocation schemes in space and time, respectively. Unfortunately, the standard scheme is theoretically not well understood: stability and convergence have been proven for only one class of space-time Galerkin discretizations. Moreover, existing discretization schemes are nonconforming, i.e., the TD-MFIE contribution is tested with divergence conforming functions instead of curl conforming functions. We therefore introduce a novel space-time mixed Galerkin discretization for the TD-CFIE. A family of temporal basis and testing functions with arbitrary order is introduced. It is explained how the corresponding interactions can be computed efficiently by existing collocation-in-time codes. The spatial mixed discretization is made fully conforming and consistent by leveraging both Rao-Wilton-Glisson and Buffa-Christiansen basis functions and by applying the appropriate bi-orthogonalization procedures. The combination of both techniques is essential when high accuracy over a broad frequency band is required. © 2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
Mar-2013
DOI:
10.1109/TAP.2012.2226553
Type:
Article
ISSN:
0018926X
Sponsors:
Manuscript received June 06, 2012; revised September 13, 2012; accepted October 15, 2012. Date of publication October 25, 2012; date of current version February 27, 2013. The work of Y. Beghein was supported by a doctoral grant from the Agency for Innovation by Science and Technology in Flanders (IWT).
Appears in Collections:
Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBeghein, Yvesen
dc.contributor.authorCools, Kristofen
dc.contributor.authorBagci, Hakanen
dc.contributor.authorDe Zutter, Daniëlen
dc.date.accessioned2015-08-03T11:00:59Zen
dc.date.available2015-08-03T11:00:59Zen
dc.date.issued2013-03en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2012.2226553en
dc.identifier.urihttp://hdl.handle.net/10754/562676en
dc.description.abstractThe time domain combined field integral equation (TD-CFIE), which is constructed from a weighted sum of the time domain electric and magnetic field integral equations (TD-EFIE and TD-MFIE) for analyzing transient scattering from closed perfect electrically conducting bodies, is free from spurious resonances. The standard marching-on-in-time technique for discretizing the TD-CFIE uses Galerkin and collocation schemes in space and time, respectively. Unfortunately, the standard scheme is theoretically not well understood: stability and convergence have been proven for only one class of space-time Galerkin discretizations. Moreover, existing discretization schemes are nonconforming, i.e., the TD-MFIE contribution is tested with divergence conforming functions instead of curl conforming functions. We therefore introduce a novel space-time mixed Galerkin discretization for the TD-CFIE. A family of temporal basis and testing functions with arbitrary order is introduced. It is explained how the corresponding interactions can be computed efficiently by existing collocation-in-time codes. The spatial mixed discretization is made fully conforming and consistent by leveraging both Rao-Wilton-Glisson and Buffa-Christiansen basis functions and by applying the appropriate bi-orthogonalization procedures. The combination of both techniques is essential when high accuracy over a broad frequency band is required. © 2012 IEEE.en
dc.description.sponsorshipManuscript received June 06, 2012; revised September 13, 2012; accepted October 15, 2012. Date of publication October 25, 2012; date of current version February 27, 2013. The work of Y. Beghein was supported by a doctoral grant from the Agency for Innovation by Science and Technology in Flanders (IWT).en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectBuffa-Christiansen (BC) functionsen
dc.subjectcombined field integral equationen
dc.subjectmarching-on-in-timeen
dc.subjectmixed discretizationen
dc.subjectspace-time Galerkin methoden
dc.titleA space-time mixed galerkin marching-on-in-time scheme for the time-domain combined field integral equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.contributor.institutionDepartment of Information Technology (INTEC), Ghent University, 9000 Ghent, Belgiumen
dc.contributor.institutionUniversity of Nottingham, Nottingham NG7 2RD, United Kingdomen
kaust.authorBagci, Hakanen
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