@Article{CiCP-24-5,
author = {},
title = {An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic $M_1$ Model in the Diffusive Limit},
journal = {Communications in Computational Physics},
year = {2018},
volume = {24},
number = {5},
pages = {1326--1354},
abstract = {<p style="text-align: justify;">This work is devoted to the derivation of an admissible asymptotic-preserving
scheme for the electronic $M_1$ model in the diffusive regime. A numerical scheme is
proposed in order to deal with the mixed derivatives which arise in the diffusive limit
leading to an anisotropic diffusion. The derived numerical scheme preserves the realisability
domain and enjoys asymptotic-preserving properties correctly handling the
diffusive limit recovering the relevant limit equation. In addition, the cases of non
constants electric field and collisional parameter are naturally taken into account with
the present approach. Numerical test cases validate the considered scheme in the non-collisional
and diffusive limits.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0188},
url = {https://global-sci.com/article/79992/an-admissible-asymptotic-preserving-numerical-scheme-for-the-electronic-m-1-model-in-the-diffusive-limit}
}