An adapted plane waves method for heat conduction problems
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/141133 |
Resumo: | Publisher Copyright: © 2021 Elsevier Inc. |
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An adapted plane waves method for heat conduction problemsHeat equationMeshfree methodsMethod of particular solutionsPlane waves methodComputational MathematicsApplied MathematicsPublisher Copyright: © 2021 Elsevier Inc.In this paper we construct a new set of basis functions for the numerical solution of nonhomogeneous heat conduction problems with Dirichlet boundary conditions and null initial data. These functions can be seen as Newtonian potentials of plane waves for the heat equation and satisfy a null initial condition. Density results for adapted waves will be established and several numerical simulations will be presented in order to discuss the accuracy and feasibility of the proposed method. An application of the method for heat problems with non null initial temperature will also be discussed.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNMartins, Nuno F. M.Mota, Pedro2023-10-12T00:31:31Z2022-02-152022-02-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/141133eng0096-3003PURE: 34442904https://doi.org/10.1016/j.amc.2021.126689info: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:RCAAP2024-03-11T05:18:25Zoai:run.unl.pt:10362/141133Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:49:55.478221Repositório 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 adapted plane waves method for heat conduction problems |
title |
An adapted plane waves method for heat conduction problems |
spellingShingle |
An adapted plane waves method for heat conduction problems Martins, Nuno F. M. Heat equation Meshfree methods Method of particular solutions Plane waves method Computational Mathematics Applied Mathematics |
title_short |
An adapted plane waves method for heat conduction problems |
title_full |
An adapted plane waves method for heat conduction problems |
title_fullStr |
An adapted plane waves method for heat conduction problems |
title_full_unstemmed |
An adapted plane waves method for heat conduction problems |
title_sort |
An adapted plane waves method for heat conduction problems |
author |
Martins, Nuno F. M. |
author_facet |
Martins, Nuno F. M. Mota, Pedro |
author_role |
author |
author2 |
Mota, Pedro |
author2_role |
author |
dc.contributor.none.fl_str_mv |
DM - Departamento de Matemática CMA - Centro de Matemática e Aplicações RUN |
dc.contributor.author.fl_str_mv |
Martins, Nuno F. M. Mota, Pedro |
dc.subject.por.fl_str_mv |
Heat equation Meshfree methods Method of particular solutions Plane waves method Computational Mathematics Applied Mathematics |
topic |
Heat equation Meshfree methods Method of particular solutions Plane waves method Computational Mathematics Applied Mathematics |
description |
Publisher Copyright: © 2021 Elsevier Inc. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-02-15 2022-02-15T00:00:00Z 2023-10-12T00:31:31Z |
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/10362/141133 |
url |
http://hdl.handle.net/10362/141133 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0096-3003 PURE: 34442904 https://doi.org/10.1016/j.amc.2021.126689 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799138096601628672 |