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Artículo
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion
(Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in density-velocity-pressure formulation), also called the Kazhikhov–Smagulov model. We will prove conditional ...
Artículo
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
(Elsevier, 2016-01)
This paper studies the stability of velocity-pressure mixed approximations of the Stokes problem when different finite element (FE) spaces for each component of the velocity field are considered. We consider some new ...
Artículo
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
(Centre National de la Recherche Scientifique, 2013-09)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit first-order integration in time, approximating an Ericksen–Leslie nematic liquid crystal model ...
Artículo
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-01)
This work is devoted to the superconvergence in space approximation of a fully discrete scheme for the incompressible time-dependent Navier-Stokes Equations in three-dimensional domains. We discrete by Inf-Sup-stable Finite ...