| Issue |
ESAIM: ProcS
Volume 79, 2025
CJC-MA 2023 - Le Congrès des Jeunes Chercheuses et Chercheurs en Mathématiques et Applications 2023
|
|
|---|---|---|
| Page(s) | 126 - 138 | |
| DOI | https://doi.org/10.1051/proc/202579126 | |
| Published online | 01 December 2025 | |
Relative entropy for the numerical diffusive limit of the linear Jin-Xin system
1
Nantes Université, CNRS, Laboratoire de Mathématiques Jean Leray, LMJL, UMR 6629, F-44000 Nantes, France
2
Université de Montpellier, Institut Montpellierain Alexander Grothendieck, IMAG, UMR 5149, F-34000 Montpellier, France
*
e-mail: marianne.bessemoulin@univ-nantes.fr; helene.mathis@umontpellier.fr
This paper deals with the diffusive limit of the Jin and Xin model and its approximation by an asymptotic preserving finite volume scheme. At the continuous level, we determine a convergence rate to the diffusive limit by means of a relative entropy method. Considering a semi-discrete approximation (discrete in space and continuous in time), we adapt the method to this semi-discrete framework and establish that the approximated solutions converge towards the discrete convection-diffusion limit with the same convergence rate.
© EDP Sciences, SMAI 2025
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