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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/19924
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:39:27Zoai: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:34982025-09-29 10:39:27.615CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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1844614419783352320 |
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13.070432 |