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A conforming mixed flnite element method for the coupling of fluid flow with porous media flow
dc.creator | Gatica Pérez, Gabriel Nibaldo | |
dc.creator | Meddahi, Salim | |
dc.creator | Oyarzúa Vargas, Ricardo | |
dc.date.accessioned | 2016-02-18T12:20:39Z | |
dc.date.available | 2016-02-18T12:20:39Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Gatica Pérez, G.N., Meddahi, S. y Oyarzúa Vargas, R. (2007). A conforming mixed flnite element method for the coupling of fluid flow with porous media flow. | |
dc.identifier.uri | http://hdl.handle.net/11441/35146 | |
dc.description.abstract | We consider a porous media entirely enclosed within a fluid region, and present a well posed conforming mixed flnite element method for the corresponding coupled problem. The interface conditions refer to mass conservation, balance of normal forces, and the Beavers-Joseph-Safiman law, which yields the introduction of the trace of the porous media pressure as a suitable Lagrange multiplier. The flnite element subspaces deflning the discrete formulation employ Bernardi-Raugel and Raviart-Thomas elements for the velocities, piecewise constants for the pressures, and continuous piecewise linear elements for the Lagrange multiplier. We show stability, convergence, and a priori error estimates for the associated Galerkin scheme. Finally, we provide several numerical results illustrating the good performance of the method and conflrming the theoretical rates of convergence. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | . | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Mixed flnite elements | es |
dc.subject | Stokes equation | |
dc.subject | Darcy equation | |
dc.subject | Conforming method | |
dc.title | A conforming mixed flnite element method for the coupling of fluid flow with porous media flow | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/35146 |
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