Abstract

AbstractStarting from the already known relationship between stabilized methods, augmented spaces and residual‐free bubbles (RFB), the paper introduces a possible way of mimicking the effect of RFB just by constructing a suitable subgrid and then solving the standard Galerkin equations on the modified grid. Concentrating on the model problem of linear convection‐dominated equations, we give sufficient conditions on the subgrid that ensure stability, and error bounds of the same type of standard stabilizing procedures. Copyright © 2002 John Wiley & Sons, Ltd.

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