| Issue |
ESAIM: M2AN
Volume 47, Number 2, March-April 2013
|
|
|---|---|---|
| Page(s) | 317 - 348 | |
| DOI | https://doi.org/10.1051/m2an/2012029 | |
| Published online | 11 January 2013 | |
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
Joseph Fourier University, LJK/MOISE, BP 53, 38041 Grenoble Cedex, France.
.
alexandre.janon@imag.fr;
maelle.nodet@inria.fr; clementine.prieur@imag.fr
Received:
8
October
2010
Revised:
23
November
2011
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.
Mathematics Subject Classification: 35K20 / 35K55 / 65M15 / 65M60
Key words: Reduced-basis methods / parametrized PDEs / nonlinear PDEs / Burgers equation
© EDP Sciences, SMAI, 2013
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