A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.

Financiación de acceso abierto proporcionada por los Fondos Europeos FEDER y la Junta de Castilla y León en el marco de la Estrategia de Investigación e Innovación para la Especialización Inteligente (RIS3) de Castilla y León 2021-2027

Detalles Bibliográficos
Autores: Aakansha, Kumar, Sunil, Ramos Calle, Higinio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156113
Acceso en línea:http://hdl.handle.net/10366/156113
Access Level:acceso abierto
Palabra clave:Delay differential equations
Singularly perturbed problems
Uniformly convergent methods
Domain decomposition methods
Parabolic problems
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spelling A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.AakanshaKumar, SunilRamos Calle, HiginioDelay differential equationsSingularly perturbed problemsUniformly convergent methodsDomain decomposition methodsParabolic problemsFinanciación de acceso abierto proporcionada por los Fondos Europeos FEDER y la Junta de Castilla y León en el marco de la Estrategia de Investigación e Innovación para la Especialización Inteligente (RIS3) de Castilla y León 2021-2027[EN] A rapidly converging domain decomposition algorithm is introduced for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers. Firstly, a space-time decomposition of the original problem is considered. Subsequently, an iterative process is proposed, wherein the exchange of information to neighboring subdomains is accomplished through the utilization of piecewise-linear interpolation. It is shown that the algorithm provides uniformly convergent numerical approximations to the solution. Our analysis utilizes some novel auxiliary problems, barrier functions, and a new maximum principle result. More importantly, we showed that only one iteration is needed for small values of the perturbation parameter.Springer202420242024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156113reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1561132026-06-07T06:28:51Z
dc.title.none.fl_str_mv A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
title A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
spellingShingle A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
Aakansha
Delay differential equations
Singularly perturbed problems
Uniformly convergent methods
Domain decomposition methods
Parabolic problems
title_short A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
title_full A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
title_fullStr A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
title_full_unstemmed A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
title_sort A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers.
dc.creator.none.fl_str_mv Aakansha
Kumar, Sunil
Ramos Calle, Higinio
author Aakansha
author_facet Aakansha
Kumar, Sunil
Ramos Calle, Higinio
author_role author
author2 Kumar, Sunil
Ramos Calle, Higinio
author2_role author
author
dc.subject.none.fl_str_mv Delay differential equations
Singularly perturbed problems
Uniformly convergent methods
Domain decomposition methods
Parabolic problems
topic Delay differential equations
Singularly perturbed problems
Uniformly convergent methods
Domain decomposition methods
Parabolic problems
description Financiación de acceso abierto proporcionada por los Fondos Europeos FEDER y la Junta de Castilla y León en el marco de la Estrategia de Investigación e Innovación para la Especialización Inteligente (RIS3) de Castilla y León 2021-2027
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/156113
url http://hdl.handle.net/10366/156113
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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