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

Alexandre Janon; Maëlle Nodet; Clémentine Prieur

- Volume: 47, Issue: 2, page 317-348
- ISSN: 0764-583X

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topJanon, Alexandre, Nodet, Maëlle, and Prieur, Clémentine. "Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.2 (2013): 317-348. <http://eudml.org/doc/273144>.

@article{Janon2013,

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.},

author = {Janon, Alexandre, Nodet, Maëlle, Prieur, Clémentine},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {reduced-basis methods; parametrized pdes; nonlinear PDEs; Burgers equation; efficient approximate computation; numerical experiments},

language = {eng},

number = {2},

pages = {317-348},

publisher = {EDP-Sciences},

title = {Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values},

url = {http://eudml.org/doc/273144},

volume = {47},

year = {2013},

}

TY - JOUR

AU - Janon, Alexandre

AU - Nodet, Maëlle

AU - Prieur, Clémentine

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2013

PB - EDP-Sciences

VL - 47

IS - 2

SP - 317

EP - 348

AB - 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.

LA - eng

KW - reduced-basis methods; parametrized pdes; nonlinear PDEs; Burgers equation; efficient approximate computation; numerical experiments

UR - http://eudml.org/doc/273144

ER -

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