A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

Handle URI:
http://hdl.handle.net/10754/561509
Title:
A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations
Authors:
Bagci, Hakan ( 0000-0003-3867-5786 ) ; Andriulli, Francesco P.; Cools, Kristof; Olyslager, Femke; Michielssen, Eric
Abstract:
A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; 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:
Aug-2010
DOI:
10.1109/TAP.2010.2050419
Type:
Article
ISSN:
0018926X
Sponsors:
This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBagci, Hakanen
dc.contributor.authorAndriulli, Francesco P.en
dc.contributor.authorCools, Kristofen
dc.contributor.authorOlyslager, Femkeen
dc.contributor.authorMichielssen, Ericen
dc.date.accessioned2015-08-02T09:13:05Zen
dc.date.available2015-08-02T09:13:05Zen
dc.date.issued2010-08en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2010.2050419en
dc.identifier.urihttp://hdl.handle.net/10754/561509en
dc.description.abstractA well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.en
dc.description.sponsorshipThis work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectCalderón preconditioningen
dc.subjectmultiplicative preconditioningen
dc.subjectsurface electric field integral equationen
dc.subjectvolume electric field integral equationsen
dc.titleA Calderón multiplicative preconditioner for coupled surface-volume electric field integral equationsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
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.institutionElectronics Department, Politecnico di Torino, 10129 Turin, Italyen
dc.contributor.institutionDepartment of Information Technology, Ghent University, B-9000 Ghent, Belgiumen
dc.contributor.institutionDepartment of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109, United Statesen
kaust.authorBagci, Hakanen
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