HAL - INRIA :: [inria-00524727, version 1] Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

inria-00524727, version 1

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

Alexandre Janon ( Author to contact preferably )^a^, 1, Maëlle Nodet ()^a^, 1, Clémentine Prieur ()^a^, 1, 2

Abstract: 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
From: Alexandre Janon <>
Submitted on: Friday, 8 October 2010 16:15:46
Updated on: Thursday, 2 December 2010 11:00:17

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arXiv: 1010.1761

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