Accurate a posteriori error evaluation in the reduced basis method

Fabien Casenave (1, 2)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 EADS Innovation Works [Toulouse]

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.

Domaines: Analyse numérique [math.NA]

Fabien Casenave. Accurate a posteriori error evaluation in the reduced basis method. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, pp.539 - 542. ⟨10.1016/j.crma.2012.05.012⟩. ⟨hal-00761221⟩