Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9667149 | Computer Methods in Applied Mechanics and Engineering | 2005 | 22 Pages |
Abstract
SUPG and residual-free bubbles are closely related methods that have been used with success to stabilize a certain number of problems, including advection-dominated flows. In recent times, a slightly different idea has been proposed: to choose a suitable subgrid in each element, and then solving Standard Galerkin on the Augmented Grid. For this, however, the correct location of the subgrid node(s) plays a crucial role. Here, for the model problem of linear advection-diffusion equations, we propose a simple criterion to choose a single internal node such that the corresponding plain-Galerkin scheme on the augmented grid provides the same a priori error estimates that are typically obtained with SUPG or RFB methods.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
F. Brezzi, L.D. Marini, A. Russo,