HYBRID MODEL FOR THE COUPLING OF AN ASYMPTOTIC PRESERVING SCHEME WITH THE ASYMPTOTIC LIMIT MODEL: THE ONE DIMENSIONAL CASE.
Résumé
In this paper a strategy is investigated for the spatial coupling of an asymptotic preserving scheme with the asymptotic limit model, associated to a singularly perturbed, highly anisotropic, ellip-tic problem. This coupling strategy appears to be very advantageous as compared with the numerical discretization of the initial singular perturbation model or the purely asymptotic preserving scheme introduced in previous works [3, 5]. The model problem addressed in this paper is well suited for the simulation of a plasma in the presence of a magnetic field, whose intensity may vary considerably within the simulation domain.
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