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dc.contributor.authorBarrios, T.P.
dc.contributor.authorCascón, J.M.
dc.contributor.authorGonzalez, M.
dc.date.accessioned2016-06-13T13:11:51Z
dc.date.available2016-06-13T13:11:51Z
dc.date.issued2015-12-31
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/20.500.11824/91
dc.description.abstractWe develop an a posteriori error analysis of residual type of a stabilized mixed finite element method for Darcy flow. The stabilized formulation is obtained by adding to the standard dual-mixed approach suitable residual type terms arising from Darcy's law and the mass conservation equation. We derive sufficient conditions on the stabilization parameters that guarantee that the augmented variational formulation and the corresponding Galerkin scheme are well-posed. Then, we obtain a simple a posteriori error estimator and prove that it is reliable and locally efficient. Finally, we provide several numerical experiments that illustrate the theoretical results and support the use of the corresponding adaptive algorithm in practice.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectA posteriori error estimator
dc.subjectDarcy flow
dc.subjectMixed finite element
dc.subjectStabilization
dc.titleA posteriori error analysis of an augmented mixed finite element method for Darcy flowen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cma.2014.10.035
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0045782514004058
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleComputer Methods in Applied Mechanics and Engineeringen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España