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

Yanlai Chen 1 Jan S. Hesthaven 1 Yvon Maday 1, 2 Jerónimo Rodríguez 3
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
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Submitted on : Thursday, October 17, 2013 - 1:00:19 PM
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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, Elsevier Masson, 2008, 346 (23-24), pp.1295-1300. ⟨10.1016/j.crma.2008.10.012⟩. ⟨hal-00873076⟩

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