General treatment of essential boundary conditions in reduced order models for non-linear problems

Autores
Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: one in which the boundary conditions are imposed in an strong way, and a second one in which a weak imposition of boundary conditions is made. The ideas presented in this work apply to the big realm of a posteriori ROMs. Nevertheless, an a posteriori hyper-reduction method is specifically considered in order to deal with the cost associated to the non-linearity of the problems. Applications to nonlinear transient heat conduction problems with temperature dependent thermophysical properties and time dependent essential boundary conditions are studied. However, the strategies introduced in this work are of general application.
Fil: Cosimo, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Institució Catalana de Recerca i Estudis Avancats; España. International Center for Numerical Methods in Engineering; España
Materia
HROM
REDUCED ORDER MODELS
ESSENTIAL BOUNDARY CONDITIONS
FEM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/38250
Acceder
id CONICETDig_66a6b44b03d4c76444b5ae36b95160f3
oai_identifier_str oai:ri.conicet.gov.ar:11336/38250
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling General treatment of essential boundary conditions in reduced order models for non-linear problemsCosimo, AlejandroCardona, AlbertoIdelsohn, Sergio RodolfoHROMREDUCED ORDER MODELSESSENTIAL BOUNDARY CONDITIONSFEMhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: one in which the boundary conditions are imposed in an strong way, and a second one in which a weak imposition of boundary conditions is made. The ideas presented in this work apply to the big realm of a posteriori ROMs. Nevertheless, an a posteriori hyper-reduction method is specifically considered in order to deal with the cost associated to the non-linearity of the problems. Applications to nonlinear transient heat conduction problems with temperature dependent thermophysical properties and time dependent essential boundary conditions are studied. However, the strategies introduced in this work are of general application.Fil: Cosimo, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Institució Catalana de Recerca i Estudis Avancats; España. International Center for Numerical Methods in Engineering; EspañaSpringer2016-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38250Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo; General treatment of essential boundary conditions in reduced order models for non-linear problems; Springer; Advanced Modeling and Simulation in Engineering Sciences; 3; 1; 3-2016; 1-142213-7467CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1186/s40323-016-0058-8info:eu-repo/semantics/altIdentifier/url/https://amses-journal.springeropen.com/articles/10.1186/s40323-016-0058-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:04:24Zoai:ri.conicet.gov.ar:11336/38250instacron: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:34982025-09-29 10:04:24.943CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv General treatment of essential boundary conditions in reduced order models for non-linear problems
title General treatment of essential boundary conditions in reduced order models for non-linear problems
spellingShingle General treatment of essential boundary conditions in reduced order models for non-linear problems
Cosimo, Alejandro
HROM
REDUCED ORDER MODELS
ESSENTIAL BOUNDARY CONDITIONS
FEM
title_short General treatment of essential boundary conditions in reduced order models for non-linear problems
title_full General treatment of essential boundary conditions in reduced order models for non-linear problems
title_fullStr General treatment of essential boundary conditions in reduced order models for non-linear problems
title_full_unstemmed General treatment of essential boundary conditions in reduced order models for non-linear problems
title_sort General treatment of essential boundary conditions in reduced order models for non-linear problems
dc.creator.none.fl_str_mv Cosimo, Alejandro
Cardona, Alberto
Idelsohn, Sergio Rodolfo
author Cosimo, Alejandro
author_facet Cosimo, Alejandro
Cardona, Alberto
Idelsohn, Sergio Rodolfo
author_role author
author2 Cardona, Alberto
Idelsohn, Sergio Rodolfo
author2_role author
author
dc.subject.none.fl_str_mv HROM
REDUCED ORDER MODELS
ESSENTIAL BOUNDARY CONDITIONS
FEM
topic HROM
REDUCED ORDER MODELS
ESSENTIAL BOUNDARY CONDITIONS
FEM
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: one in which the boundary conditions are imposed in an strong way, and a second one in which a weak imposition of boundary conditions is made. The ideas presented in this work apply to the big realm of a posteriori ROMs. Nevertheless, an a posteriori hyper-reduction method is specifically considered in order to deal with the cost associated to the non-linearity of the problems. Applications to nonlinear transient heat conduction problems with temperature dependent thermophysical properties and time dependent essential boundary conditions are studied. However, the strategies introduced in this work are of general application.
Fil: Cosimo, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Institució Catalana de Recerca i Estudis Avancats; España. International Center for Numerical Methods in Engineering; España
description Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to investigate this issue, two methods are analysed: one in which the boundary conditions are imposed in an strong way, and a second one in which a weak imposition of boundary conditions is made. The ideas presented in this work apply to the big realm of a posteriori ROMs. Nevertheless, an a posteriori hyper-reduction method is specifically considered in order to deal with the cost associated to the non-linearity of the problems. Applications to nonlinear transient heat conduction problems with temperature dependent thermophysical properties and time dependent essential boundary conditions are studied. However, the strategies introduced in this work are of general application.
publishDate 2016
dc.date.none.fl_str_mv 2016-03
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/11336/38250
Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo; General treatment of essential boundary conditions in reduced order models for non-linear problems; Springer; Advanced Modeling and Simulation in Engineering Sciences; 3; 1; 3-2016; 1-14
2213-7467
CONICET Digital
CONICET
url http://hdl.handle.net/11336/38250
identifier_str_mv Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo; General treatment of essential boundary conditions in reduced order models for non-linear problems; Springer; Advanced Modeling and Simulation in Engineering Sciences; 3; 1; 3-2016; 1-14
2213-7467
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1186/s40323-016-0058-8
info:eu-repo/semantics/altIdentifier/url/https://amses-journal.springeropen.com/articles/10.1186/s40323-016-0058-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
_version_ 1844613870040121344
score 13.070432

Publicaciones similares