Reduced Basis Techniques for Stochastic Problems

@article{Boyaval2010ReducedBT,
  title={Reduced Basis Techniques for Stochastic Problems},
  author={S{\'e}bastien Boyaval and C. Le Bris and Tony Leli{\`e}vre and Yvon Maday and Ngoc Cuong Nguyen and Anthony T. Patera},
  journal={Archives of Computational Methods in Engineering},
  year={2010},
  volume={17},
  pages={435-454}
}
We report here on the recent application of a now classical general reduction technique, the Reduced-Basis (RB) approach initiated by C. Prud’homme et al. in J. Fluids Eng. 124(1), 70–80, 2002, to the specific context of differential equations with random coefficients. After an elementary presentation of the approach, we review two contributions of the authors: in Comput. Methods Appl. Mech. Eng. 198(41–44), 3187–3206, 2009, which presents the application of the RB approach for the… 

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