Stabilization of Galerkin approximations of transport equations by subgrid modeling
LIMSI, CNRS-UPR 3152, BP 133, 91403 Orsay, France.
Revised: 31 May 1999
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.
Mathematics Subject Classification: 35L50 / 65N30
Key words: Linear hyperbolic equations / hierarchical finite elements / stabilization / subgrid modeling / artificial viscosity.
© EDP Sciences, SMAI, 1999