Stabilized reduced basis method for parametrized advection-diffusion PDEs

In this work, we propose viable and efficient strategies for the stabilization of the reduced basis approximation of an advection dominated problem. In particular, we investigate the combination of a classic stabilization method (SUPG) with the Offline-Online structure of the RB method. We explain why the stabilization is needed in both stages and we identify, analytically and numerically, which are the drawbacks of a stabilization performed only during the construction of the reduced basis (i.e. only in the Offline stage). We carry out numerical tests to assess the performances of the “double” stabilization both in steady and unsteady problems, also related to heat transfer phenomena.


Published in:
Computer Methods in Applied Mechanics and Engineering, 274, 1-18
Year:
2014
Publisher:
Lausanne, Elsevier
ISSN:
0045-7825
Keywords:
Laboratories:




 Record created 2014-02-24, last modified 2018-09-13


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