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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2002

A parareal in time procedure for the control of partial differential equations

Résumé

We have proposed in a previous note a time discretization for partial differential evolution equation that allows for parallel implementations. This scheme is here reinterpreted as a preconditioning procedure on an algebraic setting of the time discretization. This allows for extending the parallel methodology to the problem of optimal control for partial differential equations. We report a first numerical implementation that reveals a large interest.
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hal-00798362 , version 1 (11-03-2013)

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Yvon Maday, Gabriel Turinici. A parareal in time procedure for the control of partial differential equations. Comptes Rendus. Mathématique, 2002, 335 (4), pp.387 - 392. ⟨10.1016/S1631-073X(02)02467-6⟩. ⟨hal-00798362⟩
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