Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem

Detalhes bibliográficos
Autor(a) principal: Lopes, Nuno
Data de Publicação: 2021
Outros Autores: Oliveira, H. B. 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/10400.21/15992
Resumo: We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed.
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spelling Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem2d Stokes problemFeedback forcesCDFEMExistence and uniquenessConsistency and stabilityError analysisWe introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed.ElsevierRCIPLLopes, NunoOliveira, H. B. de2023-05-08T11:37:42Z2021-09-012021-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/15992engLOPES, N. D.; OLIVEIRA, H. B. – Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem. Computers & Mathematics with Applications. ISSN 0898-1221. Vol. 97 (2021), pp. 122-152.0898-122110.1016/j.camwa.2021.05.0341873-7668metadata only accessinfo: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:RCAAP2023-08-03T10:14:10Zoai:repositorio.ipl.pt:10400.21/15992Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:23:36.585685Repositório 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 Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
title Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
spellingShingle Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
Lopes, Nuno
2d Stokes problem
Feedback forces
CDFEM
Existence and uniqueness
Consistency and stability
Error analysis
title_short Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
title_full Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
title_fullStr Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
title_full_unstemmed Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
title_sort Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
author Lopes, Nuno
author_facet Lopes, Nuno
Oliveira, H. B. de
author_role author
author2 Oliveira, H. B. de
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Lopes, Nuno
Oliveira, H. B. de
dc.subject.por.fl_str_mv 2d Stokes problem
Feedback forces
CDFEM
Existence and uniqueness
Consistency and stability
Error analysis
topic 2d Stokes problem
Feedback forces
CDFEM
Existence and uniqueness
Consistency and stability
Error analysis
description We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-01
2021-09-01T00:00:00Z
2023-05-08T11:37:42Z
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/10400.21/15992
url http://hdl.handle.net/10400.21/15992
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv LOPES, N. D.; OLIVEIRA, H. B. – Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem. Computers & Mathematics with Applications. ISSN 0898-1221. Vol. 97 (2021), pp. 122-152.
0898-1221
10.1016/j.camwa.2021.05.034
1873-7668
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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