On the finite element method for a nonlocal degenerate parabolic problem

Detalhes bibliográficos
Autor(a) principal: Almeida, Rui M.P.
Data de Publicação: 2017
Outros Autores: Antontsev, Stanislav N., Duque, José C. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9088
Resumo: The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of degree k≥1. Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.
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spelling On the finite element method for a nonlocal degenerate parabolic problemNonlocalDegenerateParabolicPDEFinite elementThe aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of degree k≥1. Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.15-11-20019 - financed by the Russian Science Fundation, RussiaElsevier Ltd.uBibliorumAlmeida, Rui M.P.Antontsev, Stanislav N.Duque, José C. M.2020-02-06T17:19:06Z2017-04-152017-04-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9088eng10.1016/j.camwa.2017.02.013metadata 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:RCAAP2023-12-15T09:49:39Zoai:ubibliorum.ubi.pt:10400.6/9088Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:17.852034Repositório 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 On the finite element method for a nonlocal degenerate parabolic problem
title On the finite element method for a nonlocal degenerate parabolic problem
spellingShingle On the finite element method for a nonlocal degenerate parabolic problem
Almeida, Rui M.P.
Nonlocal
Degenerate
Parabolic
PDE
Finite element
title_short On the finite element method for a nonlocal degenerate parabolic problem
title_full On the finite element method for a nonlocal degenerate parabolic problem
title_fullStr On the finite element method for a nonlocal degenerate parabolic problem
title_full_unstemmed On the finite element method for a nonlocal degenerate parabolic problem
title_sort On the finite element method for a nonlocal degenerate parabolic problem
author Almeida, Rui M.P.
author_facet Almeida, Rui M.P.
Antontsev, Stanislav N.
Duque, José C. M.
author_role author
author2 Antontsev, Stanislav N.
Duque, José C. M.
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Almeida, Rui M.P.
Antontsev, Stanislav N.
Duque, José C. M.
dc.subject.por.fl_str_mv Nonlocal
Degenerate
Parabolic
PDE
Finite element
topic Nonlocal
Degenerate
Parabolic
PDE
Finite element
description The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of degree k≥1. Some explicit solutions are obtained and used to test the implementation of the method in Matlab environment.
publishDate 2017
dc.date.none.fl_str_mv 2017-04-15
2017-04-15T00:00:00Z
2020-02-06T17:19:06Z
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/10400.6/9088
url http://hdl.handle.net/10400.6/9088
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1016/j.camwa.2017.02.013
dc.rights.driver.fl_str_mv metadata only access
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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 Ltd.
publisher.none.fl_str_mv Elsevier Ltd.
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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