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A spatio-temporal fully meshless method for hyperbolic PDEs

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dc.contributor.authorFlores, Jesús
dc.contributor.authorGarcía, Ángel
dc.contributor.authorNegreanu, M.
dc.contributor.authorSalete Casino, Eduardo
dc.contributor.authorUreña, Francisco
dc.contributor.authorA.M. Vargas
dc.contributor.orcidhttps://orcid.org/0000-0003-0533-3464
dc.date.accessioned2024-09-27T09:26:40Z
dc.date.available2024-09-27T09:26:40Z
dc.date.issued2023
dc.descriptionThis is the Accepted Manuscript of an article published by Elsevier in "Journal of Computational and Applied Mathematics" on 2023, available online: https://doi.org/10.1016/j.cam.2023.115194 Este es el manuscrito aceptado de un artículo publicado por Elsevier en "Journal of Computational and Applied Mathematics" en 2023, disponible en línea: https://doi.org/10.1016/j.cam.2023.115194
dc.description.abstractWe 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 hyperbolic PDEs. The method is based on the moving least squares method, more precisely in the Generalized Finite Difference Method 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.en
dc.description.versionversión final
dc.identifier.citationJ. Flores, A. García, M. Negreanu, E. Salete, F. Ureña, A.M. Vargas, A spatio-temporal fully meshless method for hyperbolic PDEs, Journal of Computational and Applied Mathematics, Volume 430, 2023, 115194, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2023.115194
dc.identifier.doihttps://doi.org/10.1016/j.cam.2023.115194
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/20.500.14468/23841
dc.journal.titleJournal of Computational and Applied Mathematics
dc.journal.volume430
dc.language.isoen
dc.page.initial115194
dc.publisherELSEVIER
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentIngeniería de Construcción y Fabricación
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.es
dc.subject33 Ciencias Tecnológicas::3305 Tecnología de la construcción
dc.subject.keywordsgeneralized finite difference methoden
dc.subject.keywordsmeshless methoden
dc.subject.keywordsHyperbolic Partial Differential Equationsen
dc.titleA spatio-temporal fully meshless method for hyperbolic PDEses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication86523637-0995-45f4-81c6-3440ed55bb88
relation.isAuthorOfPublication.latestForDiscovery86523637-0995-45f4-81c6-3440ed55bb88
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