Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems

Autores
Benedetto, Matías Fernando; Berrone, Stefano; Borio, A.; Pieraccini, S.; Scialò, S.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the framework of the discretization of advection–diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
Fil: Benedetto, Matías Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long". Universidad de Buenos Aires. Facultad de Ingeniería. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long"; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Berrone, Stefano. Politecnico di Torino; Italia
Fil: Borio, A.. Politecnico di Torino; Italia
Fil: Pieraccini, S.. Politecnico di Torino; Italia
Fil: Scialò, S.. Politecnico di Torino; Italia
Materia
Virtual Element Methods
Advection Diffusion Problem
Supg
Stability
Convergence
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/19924
Acceder
id CONICETDig_1ee7187c1a41a9b18dd809414cfc7543
oai_identifier_str oai:ri.conicet.gov.ar:11336/19924
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problemsBenedetto, Matías FernandoBerrone, StefanoBorio, A.Pieraccini, S.Scialò, S.Virtual Element MethodsAdvection Diffusion ProblemSupgStabilityConvergencehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the framework of the discretization of advection–diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.Fil: Benedetto, Matías Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long". Universidad de Buenos Aires. Facultad de Ingeniería. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long"; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Berrone, Stefano. Politecnico di Torino; ItaliaFil: Borio, A.. Politecnico di Torino; ItaliaFil: Pieraccini, S.. Politecnico di Torino; ItaliaFil: Scialò, S.. Politecnico di Torino; ItaliaElsevier Science2016-11info: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/11336/19924Benedetto, Matías Fernando; Berrone, Stefano; Borio, A.; Pieraccini, S.; Scialò, S.; Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems; Elsevier Science; Computer Methods in Applied Mechanics and Engineering; 311; 11-2016; 18-400045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0045782516301773info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2016.07.043info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:11:44Zoai:ri.conicet.gov.ar:11336/19924instacron: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:34982025-10-22 12:11:44.844CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
title Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
spellingShingle Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
Benedetto, Matías Fernando
Virtual Element Methods
Advection Diffusion Problem
Supg
Stability
Convergence
title_short Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
title_full Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
title_fullStr Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
title_full_unstemmed Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
title_sort Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems
dc.creator.none.fl_str_mv Benedetto, Matías Fernando
Berrone, Stefano
Borio, A.
Pieraccini, S.
Scialò, S.
author Benedetto, Matías Fernando
author_facet Benedetto, Matías Fernando
Berrone, Stefano
Borio, A.
Pieraccini, S.
Scialò, S.
author_role author
author2 Berrone, Stefano
Borio, A.
Pieraccini, S.
Scialò, S.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Virtual Element Methods
Advection Diffusion Problem
Supg
Stability
Convergence
topic Virtual Element Methods
Advection Diffusion Problem
Supg
Stability
Convergence
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the framework of the discretization of advection–diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
Fil: Benedetto, Matías Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long". Universidad de Buenos Aires. Facultad de Ingeniería. Instituto de Tecnologías y Ciencias de la Ingeniería "Hilario Fernández Long"; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Berrone, Stefano. Politecnico di Torino; Italia
Fil: Borio, A.. Politecnico di Torino; Italia
Fil: Pieraccini, S.. Politecnico di Torino; Italia
Fil: Scialò, S.. Politecnico di Torino; Italia
description In the framework of the discretization of advection–diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
publishDate 2016
dc.date.none.fl_str_mv 2016-11
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/11336/19924
Benedetto, Matías Fernando; Berrone, Stefano; Borio, A.; Pieraccini, S.; Scialò, S.; Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems; Elsevier Science; Computer Methods in Applied Mechanics and Engineering; 311; 11-2016; 18-40
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19924
identifier_str_mv Benedetto, Matías Fernando; Berrone, Stefano; Borio, A.; Pieraccini, S.; Scialò, S.; Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems; Elsevier Science; Computer Methods in Applied Mechanics and Engineering; 311; 11-2016; 18-40
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0045782516301773
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2016.07.043
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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_ 1846782510837530624
score 12.982451

Publicaciones similares