Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Alexandre Janon; Maëlle Nodet; Clémentine Prieur

inria-00524727, version 1

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Alexandre Janon ( Auteur à contacter de préférence )^a^, 1, Maëlle Nodet ()^a^, 1, Clémentine Prieur ()^a^, 1, 2

Résumé : We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.

a – Université Joseph Fourier - Grenoble I
1 : MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
2 : GdR MASCOT-NUM ((Méthodes d'Analyse Stochastique des Codes et Traitements Numériques))
CNRS : GDR3179

inria-00524727, version 1
http://hal.inria.fr/inria-00524727
oai:hal.inria.fr:inria-00524727
Contributeur : Alexandre Janon <>
Soumis le : Vendredi 8 Octobre 2010, 16:15:46
Dernière modification le : Jeudi 2 Décembre 2010, 11:00:17

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arXiv : 1010.1761

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