Stabilization of Galerkin approximations of transport equations by subgridmodeling

Tills paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion bas ed on a two-level decomposition of the approximation space. The technique i s proved to have stability and convergence properties that are similar to t hat of the streamline diffusion method. AMS Subject Classification. 35L50, 65N30.