PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Brezzi F., Marini D. L. Augmented spaces, two-level methods, and stabilising subgrids. Preprint ercim.cnr.ian//2001-1236, 2001.
 
 
Abstract
(English)
Starting from the already known relationship between stabilised methods and augmented spaces (Residual-Free Bubbles), 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 stabilising procedures.
Subject Stabilised methods, Residual-Free Bubbles, Stabilising subgrids, convection-dominated equations



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