Optimal control of the convergence rate of Global-in-time Schwarz algorithms

Florian Lemarié; Laurent Debreu; Eric Blayo

hal-00661979, version 2

Optimal control of the convergence rate of Global-in-time Schwarz algorithms

Florian Lemarié ( Auteur à contacter de préférence ) ¹, Laurent Debreu ², Eric Blayo () ²

Résumé : In this study we present a global-in-time non-overlapping Schwarz method applied to the one dimensional unsteady diffusion equation. We derive efficient interface conditions using an optimal control approach once the problem is discretized. Those conditions are compared to the usual optimized conditions derived at the PDE level by solving a min-max problem. The performance of the proposed methodology is illustrated by numerical experiments.

1 : Department of Atmospheric Sciences [Los Angeles]
Institute of Geophysics and Planetary Physics, Los Angeles – University of California, Los Angeles
2 : MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology

hal-00661979, version 2
http://hal.archives-ouvertes.fr/hal-00661979
oai:hal.archives-ouvertes.fr:hal-00661979
Contributeur : Florian Lemarié <>
Soumis le : Dimanche 26 Août 2012, 00:46:40
Dernière modification le : Lundi 27 Août 2012, 10:19:59

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