%0 Journal Article
%T A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations
%+ Division of Applied Mathematics (DAM)
%+ Laboratoire Jacques-Louis Lions (LJLL)
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Chen, Yanlai
%A Hesthaven, Jan S.
%A Maday, Yvon
%A Rodríguez, Jerónimo
%Z Pour citer cet article: Y. Chen et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008)
%< avec comité de lecture
%@ 1631-073X
%J Comptes Rendus. Mathématique
%I Académie des sciences (Paris)
%V 346
%N 23-24
%P 1295-1300
%8 2008
%D 2008
%R 10.1016/j.crma.2008.10.012
%Z Mathematics [math]/Numerical Analysis [math.NA]Journal articles
%X 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.
%G English
%L hal-00873076
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00873076
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%~ UPMC
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%~ CNRS
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%~ INSMI
%~ LJLL
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%~ UMA_ENSTA
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%~ UPMC_POLE_1
%~ SORBONNE-UNIVERSITE
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