A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs

We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method, more precisely, the generalized finite difference...

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Detalles Bibliográficos
Autores: Benito, Juan José, García, Ángel, Negreanu Pruna, Mihaela, Ureña, Francisco, Vargas, Antonio M.
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72513
Acceso en línea:https://hdl.handle.net/20.500.14352/72513
Access Level:acceso abierto
Palabra clave:generalized finite differences
meshless method
parabolic partial differential equations
Matemáticas (Matemáticas)
Funciones (Matemáticas)
12 Matemáticas
1202 Análisis y Análisis Funcional
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spelling A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEsBenito, Juan JoséGarcía, ÁngelNegreanu Pruna, MihaelaUreña, FranciscoVargas, Antonio M.generalized finite differencesmeshless methodparabolic partial differential equationsMatemáticas (Matemáticas)Funciones (Matemáticas)12 Matemáticas1202 Análisis y Análisis FuncionalWe introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method, more precisely, the generalized finite difference method (GFDM), which allows us to select well-conditioned stars. Several 2D and 3D examples, including the time variable, are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.MPDIUniversidad Complutense de Madrid20222022-05-2020222022-05-20journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/72513reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/725132026-06-02T12:44:21Z
dc.title.none.fl_str_mv A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
title A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
spellingShingle A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
Benito, Juan José
generalized finite differences
meshless method
parabolic partial differential equations
Matemáticas (Matemáticas)
Funciones (Matemáticas)
12 Matemáticas
1202 Análisis y Análisis Funcional
title_short A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
title_full A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
title_fullStr A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
title_full_unstemmed A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
title_sort A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs
dc.creator.none.fl_str_mv Benito, Juan José
García, Ángel
Negreanu Pruna, Mihaela
Ureña, Francisco
Vargas, Antonio M.
author Benito, Juan José
author_facet Benito, Juan José
García, Ángel
Negreanu Pruna, Mihaela
Ureña, Francisco
Vargas, Antonio M.
author_role author
author2 García, Ángel
Negreanu Pruna, Mihaela
Ureña, Francisco
Vargas, Antonio M.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv generalized finite differences
meshless method
parabolic partial differential equations
Matemáticas (Matemáticas)
Funciones (Matemáticas)
12 Matemáticas
1202 Análisis y Análisis Funcional
topic generalized finite differences
meshless method
parabolic partial differential equations
Matemáticas (Matemáticas)
Funciones (Matemáticas)
12 Matemáticas
1202 Análisis y Análisis Funcional
description We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method, more precisely, the generalized finite difference method (GFDM), which allows us to select well-conditioned stars. Several 2D and 3D examples, including the time variable, are shown for both regular and irregular node distributions. The results are compared with explicit GFDM both in terms of errors and execution time.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-05-20
2022
2022-05-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/72513
url https://hdl.handle.net/20.500.14352/72513
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MPDI
publisher.none.fl_str_mv MPDI
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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