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

Alexandre Janon 1, * Maëlle Nodet 1 Clémentine Prieur 1, 2
* Corresponding author
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
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.
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https://hal.inria.fr/inria-00524727
Contributor : Alexandre Janon <>
Submitted on : Friday, October 8, 2010 - 4:15:46 PM
Last modification on : Monday, April 9, 2018 - 12:22:25 PM
Long-term archiving on : Thursday, June 30, 2011 - 1:07:04 PM

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  • HAL Id : inria-00524727, version 1
  • ARXIV : 1010.1761

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Alexandre Janon, Maëlle Nodet, Clémentine Prieur. Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values. 2010. ⟨inria-00524727v1⟩

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