Jacques Baranger

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In this paper, we present a family of domain decomposition based on an Aitken like acceleration of the Schwarz method seen as an iterative procedure with linear rate of convergence. This paper is a generalization of the method first introduced at the 12 th International Conference on Domain Decomposition that was restricted to regular Cartesian grids. The(More)
(and Introduction) In this paper, we present a family of domain decomposition based on Aitken like acceleration of the Schwarz method seen as an iterative procedure with linear rate of convergence. This paper is a generalization of the method first introduced in Garbey and Tromeur-Dervout [2001] that was restricted to Cartesian grids. The general idea is to(More)
In this paper we develop and analyse a new a posteriori error estimator for general Friedrichs' systems valid for most classical nite element approximations. This error estimator is based on comparison between an appropriate norm of the exact error, and the L 2-norm of the residuals of the approximate solution. We prove that the estimator is independent of(More)
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