Stabilized reduced basis method for parametrized advection-diffusion PDEs
Keywords
Advanced Numerical Methods for Scientific Computing
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.
This report, or a modified version of it, has been also submitted to, or published on
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering