Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems

Autores
Lombardi, Ariel Luis; Pietra, Paola
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes.
Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Pietra, Paola. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia
Materia
ADVECTION-DIFFUSION EQUATIONS
DISCONTINUOUS GALERKIN METHODS
EXPONENTIALLY FITTED SCHEMES
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:11336/189469
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/189469
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed ProblemsLombardi, Ariel LuisPietra, PaolaADVECTION-DIFFUSION EQUATIONSDISCONTINUOUS GALERKIN METHODSEXPONENTIALLY FITTED SCHEMEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes.Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Pietra, Paola. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; ItaliaJohn Wiley & Sons2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/189469Lombardi, Ariel Luis; Pietra, Paola; Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems; John Wiley & Sons; Numerical Methods For Partial Differential Equations; 28; 6; 1-2012; 1747-17770749-159XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20701info:eu-repo/semantics/altIdentifier/doi/10.1002/num.20701info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:44:28Zoai:ri.conicet.gov.ar:11336/189469instacron: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 09:44:28.889CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
title Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
spellingShingle Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
Lombardi, Ariel Luis
ADVECTION-DIFFUSION EQUATIONS
DISCONTINUOUS GALERKIN METHODS
EXPONENTIALLY FITTED SCHEMES
title_short Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
title_full Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
title_fullStr Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
title_full_unstemmed Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
title_sort Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
dc.creator.none.fl_str_mv Lombardi, Ariel Luis
Pietra, Paola
author Lombardi, Ariel Luis
author_facet Lombardi, Ariel Luis
Pietra, Paola
author_role author
author2 Pietra, Paola
author2_role author
dc.subject.none.fl_str_mv ADVECTION-DIFFUSION EQUATIONS
DISCONTINUOUS GALERKIN METHODS
EXPONENTIALLY FITTED SCHEMES
topic ADVECTION-DIFFUSION EQUATIONS
DISCONTINUOUS GALERKIN METHODS
EXPONENTIALLY FITTED SCHEMES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes.
Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Pietra, Paola. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia
description New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
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/11336/189469
Lombardi, Ariel Luis; Pietra, Paola; Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems; John Wiley & Sons; Numerical Methods For Partial Differential Equations; 28; 6; 1-2012; 1747-1777
0749-159X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/189469
identifier_str_mv Lombardi, Ariel Luis; Pietra, Paola; Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems; John Wiley & Sons; Numerical Methods For Partial Differential Equations; 28; 6; 1-2012; 1747-1777
0749-159X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20701
info:eu-repo/semantics/altIdentifier/doi/10.1002/num.20701
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 John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
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_ 1842268669416046592
score 13.13397

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