Browsing by Author "Rappaz, J"

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    Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem
    (1998) Conca, C; Duran, M; Rappaz, J
    The aim of this work is to derive rate of convergence estimates for the spectral approximation of a mathematical model which describes the vibrations of a solid-fluid type structure. First, we summarize the main theoretical results and the discretization of this variational eigenvalue problem. Then, we state some well known abstract theorems on spectral approximation and apply them to our specific problem, which allow us to obtain the desired spectral convergence. By using classical regularity results, we are able to establish estimates for the rate of convergence of the approximated eigenvalues and for the gap between generalized eigenspaces.
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    Weak solution of a stationary convection-diffusion model describing binary alloy solidification processes
    (2005) Durán, M; Ortega-Torres, E; Rappaz, J
    Our goal is to study the existence of weak solution for the stationary system of equations describing the solidification process of a binary alloy confined in a bounded regular domain in R-3 and having mixed boundary conditions. (c) 2005 Elsevier Ltd. All rights reserved.