Stochastic estimation of the Frobenius norm in the ACA convergence criterion

The adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank approximation to the interaction matrix between mutually distant parts of a scattering object. The ACA is an...

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Autores: Heldring, Alexander|||0000-0003-2011-2096, Úbeda Farré, Eduard|||0000-0001-6759-0445, Rius Casals, Juan Manuel|||0000-0003-0606-5422
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/27519
Acceso en línea:https://hdl.handle.net/2117/27519
https://dx.doi.org/10.1109/TAP.2014.2386306
Access Level:acceso abierto
Palabra clave:Convergencia (Telecommunication)
Adaptive cross approximation (ACA)
computational electromagnetics
method of moments
ADAPTIVE CROSS APPROXIMATION
ALGORITHM
Convergència (Telecomunicació)
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
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spelling Stochastic estimation of the Frobenius norm in the ACA convergence criterionHeldring, Alexander|||0000-0003-2011-2096Úbeda Farré, Eduard|||0000-0001-6759-0445Rius Casals, Juan Manuel|||0000-0003-0606-5422Convergencia (Telecommunication)Adaptive cross approximation (ACA)computational electromagneticsmethod of momentsADAPTIVE CROSS APPROXIMATIONALGORITHMConvergència (Telecomunicació)Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenesThe adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank approximation to the interaction matrix between mutually distant parts of a scattering object. The ACA is an iterative algorithm that needs an accurate and efficient convergence criterion. The evaluation of this criterion may consume a considerable part of the computational resources. This communication presents an efficient new way to evaluate the convergence criterion, using a stochastic approach.Peer Reviewed20152015-03-0120152015-04-22journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/27519https://dx.doi.org/10.1109/TAP.2014.2386306reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/275192026-05-27T15:37:01Z
dc.title.none.fl_str_mv Stochastic estimation of the Frobenius norm in the ACA convergence criterion
title Stochastic estimation of the Frobenius norm in the ACA convergence criterion
spellingShingle Stochastic estimation of the Frobenius norm in the ACA convergence criterion
Heldring, Alexander|||0000-0003-2011-2096
Convergencia (Telecommunication)
Adaptive cross approximation (ACA)
computational electromagnetics
method of moments
ADAPTIVE CROSS APPROXIMATION
ALGORITHM
Convergència (Telecomunicació)
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
title_short Stochastic estimation of the Frobenius norm in the ACA convergence criterion
title_full Stochastic estimation of the Frobenius norm in the ACA convergence criterion
title_fullStr Stochastic estimation of the Frobenius norm in the ACA convergence criterion
title_full_unstemmed Stochastic estimation of the Frobenius norm in the ACA convergence criterion
title_sort Stochastic estimation of the Frobenius norm in the ACA convergence criterion
dc.creator.none.fl_str_mv Heldring, Alexander|||0000-0003-2011-2096
Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author Heldring, Alexander|||0000-0003-2011-2096
author_facet Heldring, Alexander|||0000-0003-2011-2096
Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author_role author
author2 Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author2_role author
author
dc.subject.none.fl_str_mv Convergencia (Telecommunication)
Adaptive cross approximation (ACA)
computational electromagnetics
method of moments
ADAPTIVE CROSS APPROXIMATION
ALGORITHM
Convergència (Telecomunicació)
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
topic Convergencia (Telecommunication)
Adaptive cross approximation (ACA)
computational electromagnetics
method of moments
ADAPTIVE CROSS APPROXIMATION
ALGORITHM
Convergència (Telecomunicació)
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
description The adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank approximation to the interaction matrix between mutually distant parts of a scattering object. The ACA is an iterative algorithm that needs an accurate and efficient convergence criterion. The evaluation of this criterion may consume a considerable part of the computational resources. This communication presents an efficient new way to evaluate the convergence criterion, using a stochastic approach.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-03-01
2015
2015-04-22
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/27519
https://dx.doi.org/10.1109/TAP.2014.2386306
url https://hdl.handle.net/2117/27519
https://dx.doi.org/10.1109/TAP.2014.2386306
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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