Lifting solutions of quasilinear convection-dominated problems

Detalhes bibliográficos
Autor(a) principal: Ferreira, J. A.
Data de Publicação: 2009
Outros Autores: Mouro, A. P., Oliveira, P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/11146
https://doi.org/10.1080/00207160802385800
Resumo: In certain cases, quasilinear convection-diffusion-reaction equations range from parabolic to almost hyperbolic, depending on the ratio between convection and diffusion coefficients. From a numerical point of view, two main difficulties can arise related to the existence of layers and/or the non-smoothness of the coefficients of such equations. In this paper we study the steady-state solution of a convection-dominated problem. We present a new numerical method based on the idea of solving an associated modified problem, whose solution corresponds to a lifting of the solution of the initial problem. The method introduced here avoids an a priori knowledge of the layer(s) location and allows an efficient handling of the lack of smoothness of the coefficients. Numerical simulations that show the effectiveness of our approach are included.
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spelling Lifting solutions of quasilinear convection-dominated problemsConvection-dominated problemNon-uniform meshesConvergenceIn certain cases, quasilinear convection-diffusion-reaction equations range from parabolic to almost hyperbolic, depending on the ratio between convection and diffusion coefficients. From a numerical point of view, two main difficulties can arise related to the existence of layers and/or the non-smoothness of the coefficients of such equations. In this paper we study the steady-state solution of a convection-dominated problem. We present a new numerical method based on the idea of solving an associated modified problem, whose solution corresponds to a lifting of the solution of the initial problem. The method introduced here avoids an a priori knowledge of the layer(s) location and allows an efficient handling of the lack of smoothness of the coefficients. Numerical simulations that show the effectiveness of our approach are included.Taylor & Francis2009-04-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/11146http://hdl.handle.net/10316/11146https://doi.org/10.1080/00207160802385800engInternational Journal of Computer Mathematics. (2009) iFirst0020-7160Ferreira, J. A.Mouro, A. P.Oliveira, P.info: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:RCAAP2020-05-25T13:07:35Zoai:estudogeral.uc.pt:10316/11146Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.857872Repositório 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 Lifting solutions of quasilinear convection-dominated problems
title Lifting solutions of quasilinear convection-dominated problems
spellingShingle Lifting solutions of quasilinear convection-dominated problems
Ferreira, J. A.
Convection-dominated problem
Non-uniform meshes
Convergence
title_short Lifting solutions of quasilinear convection-dominated problems
title_full Lifting solutions of quasilinear convection-dominated problems
title_fullStr Lifting solutions of quasilinear convection-dominated problems
title_full_unstemmed Lifting solutions of quasilinear convection-dominated problems
title_sort Lifting solutions of quasilinear convection-dominated problems
author Ferreira, J. A.
author_facet Ferreira, J. A.
Mouro, A. P.
Oliveira, P.
author_role author
author2 Mouro, A. P.
Oliveira, P.
author2_role author
author
dc.contributor.author.fl_str_mv Ferreira, J. A.
Mouro, A. P.
Oliveira, P.
dc.subject.por.fl_str_mv Convection-dominated problem
Non-uniform meshes
Convergence
topic Convection-dominated problem
Non-uniform meshes
Convergence
description In certain cases, quasilinear convection-diffusion-reaction equations range from parabolic to almost hyperbolic, depending on the ratio between convection and diffusion coefficients. From a numerical point of view, two main difficulties can arise related to the existence of layers and/or the non-smoothness of the coefficients of such equations. In this paper we study the steady-state solution of a convection-dominated problem. We present a new numerical method based on the idea of solving an associated modified problem, whose solution corresponds to a lifting of the solution of the initial problem. The method introduced here avoids an a priori knowledge of the layer(s) location and allows an efficient handling of the lack of smoothness of the coefficients. Numerical simulations that show the effectiveness of our approach are included.
publishDate 2009
dc.date.none.fl_str_mv 2009-04-30
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/11146
http://hdl.handle.net/10316/11146
https://doi.org/10.1080/00207160802385800
url http://hdl.handle.net/10316/11146
https://doi.org/10.1080/00207160802385800
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Computer Mathematics. (2009) iFirst
0020-7160
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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