Residual-Type a Posteriori Error Estimates for the Darcy-Forchheimer Problem

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.endPage43
UDC.grupoInvModelos e Métodos Numéricos en Enxeñaría e Ciencias Aplicadas (M2NICA)
UDC.institutoCentroCITIC - Centro de Investigación de Tecnoloxías da Información e da Comunicación
UDC.journalTitleComputers & Mathematics with Applications
UDC.startPage28
UDC.volume209
dc.contributor.authorGonzález Taboada, María
dc.contributor.authorVarela Rodríguez, Hiram
dc.date.accessioned2026-03-24T10:43:11Z
dc.date.available2026-03-24T10:43:11Z
dc.date.issued2026-05-01
dc.descriptionThe code used to generate the findings of this study is openly available in “GitHub” at https://doi.org/10.5281/zenodo.18285149.
dc.description.abstract[Abstract]: We consider a primal-mixed finite element method proposed for the Darcy-Forchheimer model in [1]. We derive a new a posteriori error estimate and prove its reliability. We also provide some numerical experiments that show its performance in practice.
dc.description.sponsorshipThe research of M.G. was partially funded by CITIC (Spain) through Xunta de Galicia and the European Union (European Regional Development Fund- Galicia 2014–2020 Program), by grant ED431G 2019/01, and Xunta de Galicia (Spain) through grant ED431C 2022/47. The research of H.V. was partially funded by Ministerio de Ciencia, Innovación y Universidades, by grant FPU18/06125. Both authors acknowledge funding by Ministerio de Ciencia, Innovación y Universidades, through grant PID2023-150390OB-I00.
dc.description.sponsorshipXunta de Galicia; ED431G 2019/01
dc.description.sponsorshipXunta de Galicia; ED431C 2022/47
dc.description.urihttps://doi.org/10.5281/zenodo.18285149.
dc.identifier.citationM. González Taboada, and H. Varela, "Residual-Type a Posteriori Error Estimates for the Darcy-Forchheimer Problem", Computers & Mathematics with Applications, Vol. 209, 1 May 2026, pp. 28-43, https://doi.org/10.1016/j.camwa.2026.01.040
dc.identifier.doi10.1016/j.camwa.2026.01.040
dc.identifier.issn1873-7668
dc.identifier.urihttps://hdl.handle.net/2183/47778
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/FPU18%2F06125/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-150390OB-I00/ES/TECNICAS NUMERICAS PREDICTIVAS BASADAS EN MODELOS DE MULTIFISICA PARA LA MONITORIZACION DE ACUIFEROS
dc.relation.urihttps://doi.org/10.1016/j.camwa.2026.01.040
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDarcy-Forchheimer
dc.subjectPorous media
dc.subjectMixed finite element
dc.subjectA posteriori error estimates
dc.titleResidual-Type a Posteriori Error Estimates for the Darcy-Forchheimer Problem
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublication0297067b-d946-4ca7-a145-b81432bb84e1
relation.isAuthorOfPublication61cefc98-f05e-470b-be21-bd4056d66e81
relation.isAuthorOfPublication.latestForDiscovery0297067b-d946-4ca7-a145-b81432bb84e1

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