Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation

In this paper we present rigorous a posteriori L 2 error bounds for reduced basis approximations of the unsteady viscous Burgers’ equation in one space dimension. The a posteriori error estimator, derived from standard analysis of the error-residual equation, comprises two key ingredients—both of wh...

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Bibliographic Details
Main Authors: Nguyen, Ngoc Cuong, Rozza, Gianluigi, Patera, Anthony T.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Springer-Verlag 2013
Online Access:http://hdl.handle.net/1721.1/81221
https://orcid.org/0000-0002-0810-8812
https://orcid.org/0000-0002-2631-6463