High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE

Handle URI:
http://hdl.handle.net/10754/598492
Title:
High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE
Authors:
Valdes, Felipe; Andriulli, Francesco P.; Cools, Kristof; Michielssen, Eric
Abstract:
A new high-order Calderón multiplicative preconditioner (HO-CMP) for the electric field integral equation (EFIE) is presented. In contrast to previous CMPs, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of high-order quasi curl-conforming basis functions. Like its predecessors, the HO-CMP can be seamlessly integrated into existing EFIE codes. Numerical results demonstrate that the linear systems of equations obtained using the proposed HO-CMP converge rapidly, regardless of the mesh density and of the order of the current expansion. © 2006 IEEE.
Citation:
Valdes F, Andriulli FP, Cools K, Michielssen E (2011) High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE. IEEE Transactions on Antennas and Propagation 59: 1321–1337. Available: http://dx.doi.org/10.1109/TAP.2011.2109692.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Antennas and Propagation
KAUST Grant Number:
399813
Issue Date:
Apr-2011
DOI:
10.1109/TAP.2011.2109692
Type:
Article
ISSN:
0018-926X; 1558-2221
Sponsors:
Manuscript received May 17, 2010; revised September 09, 2010; accepted September 13, 2010. Date of publication January 31, 2011; date of current version April 06, 2011. This work was supported in part by the National Science Foundation under Grant DMS 0713771, by the AFOSR STTR Grant "Multiscale Computational Methods for Study of Electromagnetic Compatibility Phenomena" (FA9550-10-1-0180), by the Sandia Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms," by the KAUST Grant 399813, and in part by an equipment grant from IBM.
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Full metadata record

DC FieldValue Language
dc.contributor.authorValdes, Felipeen
dc.contributor.authorAndriulli, Francesco P.en
dc.contributor.authorCools, Kristofen
dc.contributor.authorMichielssen, Ericen
dc.date.accessioned2016-02-25T13:30:57Zen
dc.date.available2016-02-25T13:30:57Zen
dc.date.issued2011-04en
dc.identifier.citationValdes F, Andriulli FP, Cools K, Michielssen E (2011) High-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIE. IEEE Transactions on Antennas and Propagation 59: 1321–1337. Available: http://dx.doi.org/10.1109/TAP.2011.2109692.en
dc.identifier.issn0018-926Xen
dc.identifier.issn1558-2221en
dc.identifier.doi10.1109/TAP.2011.2109692en
dc.identifier.urihttp://hdl.handle.net/10754/598492en
dc.description.abstractA new high-order Calderón multiplicative preconditioner (HO-CMP) for the electric field integral equation (EFIE) is presented. In contrast to previous CMPs, the proposed preconditioner allows for high-order surface representations and current expansions by using a novel set of high-order quasi curl-conforming basis functions. Like its predecessors, the HO-CMP can be seamlessly integrated into existing EFIE codes. Numerical results demonstrate that the linear systems of equations obtained using the proposed HO-CMP converge rapidly, regardless of the mesh density and of the order of the current expansion. © 2006 IEEE.en
dc.description.sponsorshipManuscript received May 17, 2010; revised September 09, 2010; accepted September 13, 2010. Date of publication January 31, 2011; date of current version April 06, 2011. This work was supported in part by the National Science Foundation under Grant DMS 0713771, by the AFOSR STTR Grant "Multiscale Computational Methods for Study of Electromagnetic Compatibility Phenomena" (FA9550-10-1-0180), by the Sandia Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms," by the KAUST Grant 399813, and in part by an equipment grant from IBM.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectElectric field integral equation (EFIE)en
dc.subjecthigh-order basis functionsen
dc.subjectintegral equationsen
dc.subjectpreconditioningen
dc.titleHigh-order Div- and Quasi Curl-Conforming Basis Functions for Calderón Multiplicative Preconditioning of the EFIEen
dc.typeArticleen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.contributor.institutionUniversity Michigan Ann Arbor, Ann Arbor, United Statesen
dc.contributor.institutionPolitecnico di Torino, Torino, Italyen
dc.contributor.institutionUniversiteit Gent, Ghent, Belgiumen
kaust.grant.number399813en
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