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Artículo
Stability of some turbulent vertical models for the ocean mixing boundary layer
(Elsevier, 2008-02)
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.
Ponencia
A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
(2007-09)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that ...
Capítulo de Libro
Well-balanced Finite Volume schemes: some stability and convergence results
(Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady ...
Artículo
A FETI method with a mesh independent condition number for the iteration matrix
(Elsevier, 2008-02-15)
We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived by Raviart-Thomas [22] P.-A. Raviart, J.-M. Thomas, Primal Hybrid Finite Element Metho and complemented ...
Artículo
A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization
(Society for Industrial and Applied Mathematics, 2002)
We consider a system of equations that models the stationary flow of two immiscible turbulentfluids on adjacentsubdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed ...
Capítulo de Libro
Numerical solution of a Laplace equation with data in L1
(Universidad de Zaragoza, 2003)
In this work, we address the numerical solution of the Laplace equation with data in L1 by IP1 finite element schemes. Even if this is a simple problem, its analysis is difficult and requires new tools because finite ...
Artículo
A posteriori error analysis for two non-overlapping domain decomposition techniques
(Elsevier, 2009-06)
This paper is devoted to the construction of fast solvers for penalty domain decomposition techniques, based upon a posteriori error analysis. We introduce a penalty non-overlapping domain decomposition method (ddm) motivated ...
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
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 ...