Space filling Curves (SFCs) are increasingly used for combinatorial scientific computing and in particular for designing fast domain decomposition (partitioning) methods. In the context of parallel particle simulations for solving the system of Maxwell/Vlasov equations with a coupled FE/PIC (Finite Element/Particle-In-Cell) unstructured mesh based solver, one has to deal with a two-constraint p...

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: Februa...