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dc.contributor.authorGonzalez M.en_US
dc.contributor.authorStrugaru M.en_US
dc.date.accessioned2020-07-23T13:05:13Z
dc.date.available2020-07-23T13:05:13Z
dc.date.issued2020-06-02
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1132
dc.description.abstractWe introduce a new augmented dual-mixed finite element method for the linear convection-diffusion equation with mixed boundary conditions. The approach is based on adding suitable residual type terms to a dual-mixed formulation of the problem. We prove that for appropriate values of the stabilization parameters, that depend on the diffusivity and the magnitude of the convective velocity, the new variational formulation and the corresponding Galerkin scheme are well-posed and a Céa estimate can be derived. We establish the rate of convergence when the flux and the concentration are approximated, respectively, by Raviart–Thomas/Brezzi–Douglas–Marini and continuous piecewise polynomials. In addition, we develop an a posteriori error analysis of residual type. We derive a simple a posteriori error indicator and prove that it is reliable and locally efficient. Finally, we provide some numerical experiments that illustrate the performance of the method.en_US
dc.description.sponsorshipPOCTEFA 2014–2020, Spain grant No. EFA362/19 - PIXILen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherJournal of Computational and Applied Mathematicsen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectConvection–diffusionen_US
dc.subjectMixed finite elementen_US
dc.subjectStabilizationen_US
dc.subjectA posteriori error estimatesen_US
dc.titleStabilization and a posteriori error analysis of a mixed FEM for convection–diffusion problems with mixed boundary conditionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cam.2020.113015
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S037704272030306X?via%3Dihuben_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US


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