A converging finite volume scheme for hyperbolic conservation laws with source terms

Detalhes bibliográficos
Autor(a) principal: Santos, J.
Data de Publicação: 1999
Outros Autores: Oliveira, P. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4658
https://doi.org/10.1016/S0377-0427(99)00146-6
Resumo: In this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included.
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spelling A converging finite volume scheme for hyperbolic conservation laws with source termsHyperbolic conservation lawsSingular source termDirac delta functionsFinite volume methodsConservative numerical methodsIn this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included.http://www.sciencedirect.com/science/article/B6TYH-3YMFK8J-R/1/cbe49d4b91208a476f2e65596d7935111999info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4658http://hdl.handle.net/10316/4658https://doi.org/10.1016/S0377-0427(99)00146-6engJournal of Computational and Applied Mathematics. 111:1-2 (1999) 239-251Santos, J.Oliveira, P. deinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:59:50Zoai:estudogeral.uc.pt:10316/4658Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.488389Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A converging finite volume scheme for hyperbolic conservation laws with source terms
title A converging finite volume scheme for hyperbolic conservation laws with source terms
spellingShingle A converging finite volume scheme for hyperbolic conservation laws with source terms
Santos, J.
Hyperbolic conservation laws
Singular source term
Dirac delta functions
Finite volume methods
Conservative numerical methods
title_short A converging finite volume scheme for hyperbolic conservation laws with source terms
title_full A converging finite volume scheme for hyperbolic conservation laws with source terms
title_fullStr A converging finite volume scheme for hyperbolic conservation laws with source terms
title_full_unstemmed A converging finite volume scheme for hyperbolic conservation laws with source terms
title_sort A converging finite volume scheme for hyperbolic conservation laws with source terms
author Santos, J.
author_facet Santos, J.
Oliveira, P. de
author_role author
author2 Oliveira, P. de
author2_role author
dc.contributor.author.fl_str_mv Santos, J.
Oliveira, P. de
dc.subject.por.fl_str_mv Hyperbolic conservation laws
Singular source term
Dirac delta functions
Finite volume methods
Conservative numerical methods
topic Hyperbolic conservation laws
Singular source term
Dirac delta functions
Finite volume methods
Conservative numerical methods
description In this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included.
publishDate 1999
dc.date.none.fl_str_mv 1999
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/4658
http://hdl.handle.net/10316/4658
https://doi.org/10.1016/S0377-0427(99)00146-6
url http://hdl.handle.net/10316/4658
https://doi.org/10.1016/S0377-0427(99)00146-6
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Computational and Applied Mathematics. 111:1-2 (1999) 239-251
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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