A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems

Autores
Morin, Pedro; Spies, Ruben Daniel
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical one: it is much more intuitive and the derivation of the algorithm is done without need of the sensitivity equations on which classical quasilinearization is based. Sufficient conditions for the convergence of the algorithm are derived in terms of the regularity of the solutions with respect to the parameters. A comparison with the standard approach is presented and an application is included in which the nonphysical parameters in a mathematical model for shape memory alloys are estimated.
Fil: Morin, Pedro. Universidad Nacional del Litoral; Argentina
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Quasilinearization approach
Nonlinear abstract
Cauchy problems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100616
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100616
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problemsMorin, PedroSpies, Ruben DanielQuasilinearization approachNonlinear abstractCauchy problemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical one: it is much more intuitive and the derivation of the algorithm is done without need of the sensitivity equations on which classical quasilinearization is based. Sufficient conditions for the convergence of the algorithm are derived in terms of the regularity of the solutions with respect to the parameters. A comparison with the standard approach is presented and an application is included in which the nonphysical parameters in a mathematical model for shape memory alloys are estimated.Fil: Morin, Pedro. Universidad Nacional del Litoral; ArgentinaFil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaUniversidad Austral2001-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100616Morin, Pedro; Spies, Ruben Daniel; A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems; Universidad Austral; Revista MAT Serie A; 3; 8-2001; 27-411515-4904CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.26422/MAT.A.2001.3.morinfo:eu-repo/semantics/altIdentifier/url/https://www.austral.edu.ar/cienciasempresariales/conocimiento-e-impacto/publicaciones/revista-mat/revista-matserie-a/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:06Zoai:ri.conicet.gov.ar:11336/100616instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:45:07.099CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
title A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
spellingShingle A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
Morin, Pedro
Quasilinearization approach
Nonlinear abstract
Cauchy problems
title_short A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
title_full A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
title_fullStr A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
title_full_unstemmed A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
title_sort A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems
dc.creator.none.fl_str_mv Morin, Pedro
Spies, Ruben Daniel
author Morin, Pedro
author_facet Morin, Pedro
Spies, Ruben Daniel
author_role author
author2 Spies, Ruben Daniel
author2_role author
dc.subject.none.fl_str_mv Quasilinearization approach
Nonlinear abstract
Cauchy problems
topic Quasilinearization approach
Nonlinear abstract
Cauchy problems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical one: it is much more intuitive and the derivation of the algorithm is done without need of the sensitivity equations on which classical quasilinearization is based. Sufficient conditions for the convergence of the algorithm are derived in terms of the regularity of the solutions with respect to the parameters. A comparison with the standard approach is presented and an application is included in which the nonphysical parameters in a mathematical model for shape memory alloys are estimated.
Fil: Morin, Pedro. Universidad Nacional del Litoral; Argentina
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical one: it is much more intuitive and the derivation of the algorithm is done without need of the sensitivity equations on which classical quasilinearization is based. Sufficient conditions for the convergence of the algorithm are derived in terms of the regularity of the solutions with respect to the parameters. A comparison with the standard approach is presented and an application is included in which the nonphysical parameters in a mathematical model for shape memory alloys are estimated.
publishDate 2001
dc.date.none.fl_str_mv 2001-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100616
Morin, Pedro; Spies, Ruben Daniel; A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems; Universidad Austral; Revista MAT Serie A; 3; 8-2001; 27-41
1515-4904
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100616
identifier_str_mv Morin, Pedro; Spies, Ruben Daniel; A quasilinearization approach for parameter identification in nonlinear abstract Cauchy problems; Universidad Austral; Revista MAT Serie A; 3; 8-2001; 27-41
1515-4904
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.26422/MAT.A.2001.3.mor
info:eu-repo/semantics/altIdentifier/url/https://www.austral.edu.ar/cienciasempresariales/conocimiento-e-impacto/publicaciones/revista-mat/revista-matserie-a/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad Austral
publisher.none.fl_str_mv Universidad Austral
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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