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Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 539-542 (mai 2012)
Doi : 10.1016/j.crma.2012.05.012
Received : 5 April 2012 ;  accepted : 25 May 2012
Accurate a posteriori error evaluation in the reduced basis method
Évaluation précise de lʼestimateur a posteriori dans la méthode des bases réduites
 

Fabien Casenave
Université Paris-Est, CERMICS, École des Ponts ParisTech, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France 

Abstract

In the reduced basis method, the evaluation of the a posteriori estimator can become very sensitive to round-off errors. In this Note, the origin of the loss of accuracy is revealed, and a solution to this problem is proposed and illustrated on a simple example.

The full text of this article is available in PDF format.
Résumé

Dans la méthode des bases réduites, lʼévaluation de lʼestimateur a posteriori peut sʼavérer particulièrement sensible aux erreurs dʼarrondis machine. Dans cette Note, lʼorigine de la perte de précision est révélée et une solution à ce problème est proposée et illustrée sur un exemple simple.

The full text of this article is available in PDF format.


© 2012  Published by Elsevier Masson SAS de la part de Académie des sciences.
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