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Stabilization of Galerkin approximations of transport equations by subgrid modeling

Stabilization of Galerkin approximations of transport equations by subgrid modeling

This paper presents a stabilization technique for approximating transport equations.The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space.The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.