IAN-CNR Report N. 1046
Applications of the Pseudo Residual-Free Bubbles to
the Stabilization of Convection-Diffusion Problems
F. Brezzi, D. Marini, A. Russo
Residual-free bubbles have been recently introduced
in order to compute optimal values for the stabilization methods
á la
Hughes-Franca. However, unless in very special situations,
(one-dimensional problems, limit cases, etc.) they require the actual
solution of PDE problems (the bubble problems) in each element.
Thus they are very difficult to be used in practice.
In this paper we present, for the special case of convection-dominated
elliptic problems, a cheap way to compute approximately the solution of
the bubble problem in each element. This provides, as a consequence,
a cheap way to compute good approximations for the optimal values of the
stabilization parameters.
Authors' address:
brezzi@ian.pv.cnr.it,
marini@ian.pv.cnr.it,
russo@ian.pv.cnr.it,