Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44990
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dc.contributor.authorBarbeiro, Sílvia-
dc.contributor.authorBardeji, Somayeh Gh.-
dc.contributor.authorFerreira, José Augusto-
dc.contributor.authorPinto, Luís-
dc.date.accessioned2017-12-14T17:21:10Z-
dc.date.issued2017-
dc.identifier10.1007/s00211-017-0922-6-
dc.identifier.urihttp://hdl.handle.net/10316/44990-
dc.description.abstractIn this paper we propose a numerical scheme to approximate the solution of a non-Fickian coupled model that describes, e.g., miscible transport in porous media. The model is defined by a system of a quasilinear elliptic equation, which governs the fluid pressure, and a quasilinear integro-differential equation, which models the convection–diffusion transport process. The numerical scheme is based on a conforming piecewise linear finite element method for the discretization in space. The fully discrete approximations is obtained with an implicit–explicit method. Estimates for the continuous in time and the fully discrete methods are derived, showing that the numerical approximation for the concentrations and the pressure are second order convergent in a discrete L^2-norm and in a discrete H^1-norm, respectively.por
dc.language.isoengpor
dc.publisherSpringer Berlin Heidelbergpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147205/PTpor
dc.rightsembargoedAccess-
dc.titleNon-Fickian convection–diffusion models in porous mediapor
dc.typearticle-
degois.publication.firstPage1por
degois.publication.lastPage36por
degois.publication.titleNumerische Mathematikpor
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00211-017-0922-6por
dc.peerreviewedyespor
dc.identifier.doi10.1007/s00211-017-0922-6por
dc.date.embargo2018-12-14T17:21:10Z-
uc.controloAutoridadeSim-
item.fulltextCom Texto completo-
item.languageiso639-1en-
item.grantfulltextopen-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.orcid0000-0002-2651-5083-
crisitem.author.orcid0000-0002-5226-2905-
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