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

Alexandre Janon; Maëlle Nodet; Clémentine Prieur

inria-00524727, version 2

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

ESAIM: Mathematical Modelling and Numerical Analysis 47, 2 (2013) 317-348

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 2
http://hal.inria.fr/inria-00524727
oai:hal.inria.fr:inria-00524727
From: Alexandre Janon <>
Submitted on: Sunday, 17 June 2012 10:29:00
Updated on: Saturday, 23 February 2013 17:55:18

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arXiv: 1010.1761

DOI: 10.1051/m2an/2012029

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