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Artículo
Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method
(Oxford University Press, 2016)
A finite element error analysis of a local projection stabilization (LPS) method for the time-dependent Navier–Stokes equations is presented. The focus is on the high-order term-by-term stabilization method that has one ...
Artículo
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007-01)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear elliptic equation in divergence form with coefficients in L∞(Ω) which generalizes Laplace’s equation. ...
Artículo
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
(Elsevier, 2021-01-15)
In this paper, we propose to improve the stabilized POD-ROM introduced in [48] to deal with the numerical simulation of advection-dominated advection-diffusion-reaction equations. In particular, we propose a three-stage ...
Artículo
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
(AIMS, 2014-02-15)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardson-number based vertical eddy diffusion models. We prove the existence ...
Artículo
Mortar finite element discretization of a model coupling Darcy and Stokes equations
(EDP Sciences, 2008)
As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a ...
Artículo
VI Escuela Hispano-Francesa sobre Simulación Numérica en Física e Ingeniería. Sevilla, España, 19-23 septiembre (1994)
(Sociedad Española de Matemática Aplicada, 1994)
Artículo
An iterative procedure to solve a coupled two-fluids turbulence model
(EDP Sciences, 2010)
This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic ...
Tesis Doctoral
Artículo
An analysis technique for stabilized finite element solution of incompressible flows
(EDP Sciences, 2001)
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup ...