A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Article Dans Une Revue Comptes Rendus. Mathématique Année : 2008

A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations

Résumé

For accurate a posteriori error analysis of the reduced basis method for coercive and non-coercive problems, a critical ingredient lies in the evaluation of a lower bound for the coercivity or inf-sup constant. In this short Note, we generalize and improve the successive constraint method first presented by Huynh (2007) by providing a monotonic version of this algorithm that leads to both more stable evaluations and fewer offline computations. © 2008 Académie des sciences.

Dates et versions

hal-00873076 , version 1 (17-10-2013)

Identifiants

Citer

Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jerónimo Rodríguez. A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations. Comptes Rendus. Mathématique, 2008, 346 (23-24), pp.1295-1300. ⟨10.1016/j.crma.2008.10.012⟩. ⟨hal-00873076⟩
170 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More