Supraconvergence and supercloseness in quasilinear coupled problems
Autor(a) principal: | |
---|---|
Data de Publicação: | 2013 |
Outros Autores: | |
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. |
id |
RCAP_0089e313c734c839e5ef31ef40c0d0c6 |
---|---|
oai_identifier_str |
oai:estudogeral.uc.pt:10316/44549 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
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 |
format |
article |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799133821128409089 |