The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries

Detalhes bibliográficos
Autor(a) principal: Almeida, Rui M.P.
Data de Publicação: 2014
Outros Autores: Duque, José C. M., Ferreira, Jorge, Robalo, Rui J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9665
Resumo: The aim of this article is to establish the convergence and error bounds for the fully discrete solutions of a class of nonlinear equations of reaction–diffusion nonlocal type with moving boundaries, using a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite element methods are investigated.
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spelling The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving BoundariesNonlinear parabolic systemNonlocal diffusion termReaction–diffusionConvergenceNumerical simulationCrank–NicolsonFinite element methodThe aim of this article is to establish the convergence and error bounds for the fully discrete solutions of a class of nonlinear equations of reaction–diffusion nonlocal type with moving boundaries, using a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite element methods are investigated.Wiley PeriodicalsuBibliorumAlmeida, Rui M.P.Duque, José C. M.Ferreira, JorgeRobalo, Rui J.2020-03-02T17:08:22Z2014-12-282014-12-28T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9665eng/10.1002/num.21957metadata 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:RCAAP2023-12-15T09:50:49Zoai:ubibliorum.ubi.pt:10400.6/9665Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:44.858070Repositório 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 The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
title The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
spellingShingle The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
Almeida, Rui M.P.
Nonlinear parabolic system
Nonlocal diffusion term
Reaction–diffusion
Convergence
Numerical simulation
Crank–Nicolson
Finite element method
title_short The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
title_full The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
title_fullStr The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
title_full_unstemmed The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
title_sort The Crank–Nicolson–Galerkin Finite Element Method for a Nonlocal Parabolic Equation with Moving Boundaries
author Almeida, Rui M.P.
author_facet Almeida, Rui M.P.
Duque, José C. M.
Ferreira, Jorge
Robalo, Rui J.
author_role author
author2 Duque, José C. M.
Ferreira, Jorge
Robalo, Rui J.
author2_role author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Almeida, Rui M.P.
Duque, José C. M.
Ferreira, Jorge
Robalo, Rui J.
dc.subject.por.fl_str_mv Nonlinear parabolic system
Nonlocal diffusion term
Reaction–diffusion
Convergence
Numerical simulation
Crank–Nicolson
Finite element method
topic Nonlinear parabolic system
Nonlocal diffusion term
Reaction–diffusion
Convergence
Numerical simulation
Crank–Nicolson
Finite element method
description The aim of this article is to establish the convergence and error bounds for the fully discrete solutions of a class of nonlinear equations of reaction–diffusion nonlocal type with moving boundaries, using a linearized Crank–Nicolson–Galerkin finite element method with polynomial approximations of any degree. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with some existing moving finite element methods are investigated.
publishDate 2014
dc.date.none.fl_str_mv 2014-12-28
2014-12-28T00:00:00Z
2020-03-02T17:08:22Z
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/10400.6/9665
url http://hdl.handle.net/10400.6/9665
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv /10.1002/num.21957
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 Wiley Periodicals
publisher.none.fl_str_mv Wiley Periodicals
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
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