Supraconvergence and supercloseness in quasilinear coupled problems

Detalhes bibliográficos
Autor(a) principal: Ferreira, José Augusto
Data de Publicação: 2013
Outros Autores: Pinto, Luís
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44549
https://doi.org/10.1016/j.cam.2012.10.009
Resumo: The aim of this paper is to study a finite difference method for quasilinear coupled problems of partial differential equations that presents numerically an unexpected second order convergence rate. The error analysis presented allows us to conclude that the finite difference method is supraconvergent. As the method studied in this paper can be seen as a fully discrete piecewise linear finite element method, we conclude the supercloseness of our approximations.
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spelling Supraconvergence and supercloseness in quasilinear coupled problemsThe aim of this paper is to study a finite difference method for quasilinear coupled problems of partial differential equations that presents numerically an unexpected second order convergence rate. The error analysis presented allows us to conclude that the finite difference method is supraconvergent. As the method studied in this paper can be seen as a fully discrete piecewise linear finite element method, we conclude the supercloseness of our approximations.Elsevier2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44549http://hdl.handle.net/10316/44549https://doi.org/10.1016/j.cam.2012.10.009https://doi.org/10.1016/j.cam.2012.10.009enghttps://doi.org/10.1016/j.cam.2012.10.009Ferreira, José AugustoPinto, Luísinfo: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:RCAAP2021-06-29T10:02:58Zoai:estudogeral.uc.pt:10316/44549Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:24.624039Repositório 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 Supraconvergence and supercloseness in quasilinear coupled problems
title Supraconvergence and supercloseness in quasilinear coupled problems
spellingShingle Supraconvergence and supercloseness in quasilinear coupled problems
Ferreira, José Augusto
title_short Supraconvergence and supercloseness in quasilinear coupled problems
title_full Supraconvergence and supercloseness in quasilinear coupled problems
title_fullStr Supraconvergence and supercloseness in quasilinear coupled problems
title_full_unstemmed Supraconvergence and supercloseness in quasilinear coupled problems
title_sort Supraconvergence and supercloseness in quasilinear coupled problems
author Ferreira, José Augusto
author_facet Ferreira, José Augusto
Pinto, Luís
author_role author
author2 Pinto, Luís
author2_role author
dc.contributor.author.fl_str_mv Ferreira, José Augusto
Pinto, Luís
description The aim of this paper is to study a finite difference method for quasilinear coupled problems of partial differential equations that presents numerically an unexpected second order convergence rate. The error analysis presented allows us to conclude that the finite difference method is supraconvergent. As the method studied in this paper can be seen as a fully discrete piecewise linear finite element method, we conclude the supercloseness of our approximations.
publishDate 2013
dc.date.none.fl_str_mv 2013
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/10316/44549
http://hdl.handle.net/10316/44549
https://doi.org/10.1016/j.cam.2012.10.009
https://doi.org/10.1016/j.cam.2012.10.009
url http://hdl.handle.net/10316/44549
https://doi.org/10.1016/j.cam.2012.10.009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.cam.2012.10.009
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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