Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials

Autores
Radwan, H.; Vignal, P.; Collier, N.; Dalcin, Lisandro Daniel; Santillana, M.; Calo, V.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-alpha method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.
Fil: Radwan, H.. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Vignal, P.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
Fil: Collier, N.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Santillana, M.. Harvard University; Estados Unidos
Fil: Calo, V.. King Adbullah university of Science and Technology; Arabia Saudita
Materia
SHALLOW WATER
BARENBLATT SOLUTIONS
CONVERGENCE RATES
DSW
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:11336/76418
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/76418
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Convergence rates for diffusive shallow water equations (DSW) using higher order polynomialsRadwan, H.Vignal, P.Collier, N.Dalcin, Lisandro DanielSantillana, M.Calo, V.SHALLOW WATERBARENBLATT SOLUTIONSCONVERGENCE RATESDSWIn this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-alpha method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.Fil: Radwan, H.. King Abdullah University of Science and Technology; Arabia SauditaFil: Vignal, P.. King Abdullah University of Science and Technology, Thuwal; Arabia SauditaFil: Collier, N.. King Abdullah University of Science and Technology, Thuwal; Arabia SauditaFil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Santillana, M.. Harvard University; Estados UnidosFil: Calo, V.. King Adbullah university of Science and Technology; Arabia SauditaSerbian Society for Computational Mechanics2012-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76418Radwan, H.; Vignal, P.; Collier, N.; Dalcin, Lisandro Daniel; Santillana, M.; et al.; Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials; Serbian Society for Computational Mechanics; Journal of the Serbian Society for Computational Mechanics; 6; 1; 3-2012; 160-1681820-6530CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sscm.kg.ac.rs/jsscm/downloads/Vol6No1/Vol6No1_11.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:26Zoai:ri.conicet.gov.ar:11336/76418instacron: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 09:59:27.286CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
title Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
spellingShingle Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
Radwan, H.
SHALLOW WATER
BARENBLATT SOLUTIONS
CONVERGENCE RATES
DSW
title_short Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
title_full Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
title_fullStr Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
title_full_unstemmed Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
title_sort Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
dc.creator.none.fl_str_mv Radwan, H.
Vignal, P.
Collier, N.
Dalcin, Lisandro Daniel
Santillana, M.
Calo, V.
author Radwan, H.
author_facet Radwan, H.
Vignal, P.
Collier, N.
Dalcin, Lisandro Daniel
Santillana, M.
Calo, V.
author_role author
author2 Vignal, P.
Collier, N.
Dalcin, Lisandro Daniel
Santillana, M.
Calo, V.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv SHALLOW WATER
BARENBLATT SOLUTIONS
CONVERGENCE RATES
DSW
topic SHALLOW WATER
BARENBLATT SOLUTIONS
CONVERGENCE RATES
DSW
dc.description.none.fl_txt_mv In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-alpha method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.
Fil: Radwan, H.. King Abdullah University of Science and Technology; Arabia Saudita
Fil: Vignal, P.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
Fil: Collier, N.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Santillana, M.. Harvard University; Estados Unidos
Fil: Calo, V.. King Adbullah university of Science and Technology; Arabia Saudita
description In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-alpha method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.
publishDate 2012
dc.date.none.fl_str_mv 2012-03
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/11336/76418
Radwan, H.; Vignal, P.; Collier, N.; Dalcin, Lisandro Daniel; Santillana, M.; et al.; Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials; Serbian Society for Computational Mechanics; Journal of the Serbian Society for Computational Mechanics; 6; 1; 3-2012; 160-168
1820-6530
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76418
identifier_str_mv Radwan, H.; Vignal, P.; Collier, N.; Dalcin, Lisandro Daniel; Santillana, M.; et al.; Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials; Serbian Society for Computational Mechanics; Journal of the Serbian Society for Computational Mechanics; 6; 1; 3-2012; 160-168
1820-6530
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.sscm.kg.ac.rs/jsscm/downloads/Vol6No1/Vol6No1_11.pdf
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 Serbian Society for Computational Mechanics
publisher.none.fl_str_mv Serbian Society for Computational Mechanics
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_ 1844613763797352448
score 13.070432

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