An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2014
Outros Autores: Neves, Cidália, Sousa, Ercília
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/45001
https://doi.org/10.1016/j.amc.2014.04.044
Resumo: A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computationally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the alternating direction method is analyzed using the energy method. Numerical results are presented to illustrate the performance in different cases.
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spelling An alternating direction implicit method for a second-order hyperbolic diffusion equation with convectionA numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computationally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the alternating direction method is analyzed using the energy method. Numerical results are presented to illustrate the performance in different cases.Elsevier2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/45001http://hdl.handle.net/10316/45001https://doi.org/10.1016/j.amc.2014.04.044https://doi.org/10.1016/j.amc.2014.04.044enghttps://doi.org/10.1016/j.amc.2014.04.044Araújo, AdéritoNeves, CidáliaSousa, Ercíliainfo: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:RCAAP2021-06-29T10:02:57Zoai:estudogeral.uc.pt:10316/45001Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:29.888846Repositório 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 An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
title An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
spellingShingle An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
Araújo, Adérito
title_short An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
title_full An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
title_fullStr An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
title_full_unstemmed An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
title_sort An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection
author Araújo, Adérito
author_facet Araújo, Adérito
Neves, Cidália
Sousa, Ercília
author_role author
author2 Neves, Cidália
Sousa, Ercília
author2_role author
author
dc.contributor.author.fl_str_mv Araújo, Adérito
Neves, Cidália
Sousa, Ercília
description A numerical method is presented to solve a two-dimensional hyperbolic diffusion problem where is assumed that both convection and diffusion are responsible for flow motion. Since direct solutions based on implicit schemes for multidimensional problems are computationally inefficient, we apply an alternating direction method which is second order accurate in time and space. The stability of the alternating direction method is analyzed using the energy method. Numerical results are presented to illustrate the performance in different cases.
publishDate 2014
dc.date.none.fl_str_mv 2014
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/10316/45001
http://hdl.handle.net/10316/45001
https://doi.org/10.1016/j.amc.2014.04.044
https://doi.org/10.1016/j.amc.2014.04.044
url http://hdl.handle.net/10316/45001
https://doi.org/10.1016/j.amc.2014.04.044
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.amc.2014.04.044
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
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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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