Publication Results

Code: 40/2013
Title: Stabilized reduced basis method for parametrized advection-diffusion PDEs
Date: Thursday 3rd October 2013
Author(s) : Pacciarini P.; Rozza G.
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Abstract: 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.

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Computer Methods in Applied Mechanics and Engineering