Stabilization of Galerkin approximations of transport equations by subgrid modeling

@inproceedings{Guermond2017StabilizationOG,
  title={Stabilization of Galerkin approximations of transport equations by subgrid modeling},
  author={Jean-Luc Guermond},
  year={2017}
}
This paper présents a stabilization technique for approximating transport équations. The key idea consists in introducing an artificial diffusion based on a two-level décomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method. AMS Subject Classification. 35L50, 65N30. Received: February 20, 1998. Revised: May 31, 1999. 

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