dc.creatorAraya-Duran, Rodolfo Antonio
dc.creatorRebolledo, Ramiro
dc.creatorValentin, Frederic
dc.date2019-06-10T15:33:59Z
dc.date2022-06-17T20:24:08Z
dc.date2019-06-10T15:33:59Z
dc.date2022-06-17T20:24:08Z
dc.date2015
dc.date.accessioned2023-08-23T00:02:15Z
dc.date.available2023-08-23T00:02:15Z
dc.identifier1150174
dc.identifierhttps://hdl.handle.net/10533/235849
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8353549
dc.descriptionThis work proposes and analyzes a residual a posteriori error estimator for the Multiscale Hybrid-Mixed (MHM) method for the Stokes and Brinkman equations. The error estimator relies on the multi-level structure of the MHM method and considers two levels of approximation of the method. As a result, the error estimator accounts for a first-level global estimator defined on the skeleton of the partition and second-level contributions from element-wise approximations. The analysis establishes local efficiency and reliability of the complete multiscale estimator. Also, it yields a new face-adaptive strategy on the mesh’s skeleton which avoids changing the topology of the global mesh. Specially designed to work on multiscale problems, the present estimator can leverage parallel computers since local error estimators are independent of each other. Academic and realistic multiscale numerical tests assess the performance of the estimator and validate the adaptive algorithms.
dc.languageeng
dc.relationinstname: Conicyt
dc.relationreponame: Repositorio Digital RI2.0
dc.relationinfo:eu-repo/grantAgreement//1150174
dc.relationinfo:eu-repo/semantics/dataset/hdl.handle.net/10533/93482
dc.relationhttps://www.researchgate.net/publication/329412858_On_a_Multiscale_a_Posteriori_Error_Estimator_for_the_Stokes_and_Brinkman_Equations
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.titleOn a Multiscale a Posteriori Error Estimator for the Stokes and Brinkman Equations
dc.typeManuscrito
dc.typeinfo:eu-repo/semantics/text


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