Zobrazeno 1 - 10
of 451
pro vyhledávání: '"Bessemoulin, A."'
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
Externí odkaz:
http://arxiv.org/abs/2406.03268
In this article, we propose a finite volume discretization of a one dimensional nonlinear reaction kinetic model proposed in [Neumann, Schmeiser, Kint. Rel. Mod. 2016], which describes a 2-species recombination-generation process. Specifically, we es
Externí odkaz:
http://arxiv.org/abs/2403.04699
We prove the convergence of discontinuous Galerkin approximations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials in velocity. To obtain stability properties, we introduce a suitable weighted L 2 space, with a
Externí odkaz:
http://arxiv.org/abs/2208.12503
Autor:
Metwally, Nahla Galal, Tauler, Maria del Pilar Martinez, Torabi, Hanifeh, Allweier, Johannes, Mohamed, Sara, Bessemoulin, Maryeva, Bouws, Philip, Alshikh, Fatima, Wu, Yifan, Temori, Milad, Schell, Tabea, Rakotonirinalalao, Maximillian, Honecker, Barbara, Höhn, Katharina, Jacobs, Thomas, Heine, Holger, Bruchhaus, Iris
Publikováno v:
In iScience 15 November 2024 27(11)
We study a class of spatial discretizations for the Vlasov-Poisson system written as an hyperbolic system using Hermite polynomials. In particular, we focus on spectral methods and discontinuous Galerkin approximations. To obtain L 2 stability proper
Externí odkaz:
http://arxiv.org/abs/2106.07468
In this article, we are interested in the asymptotic analysis of a finite volume scheme for one dimensional linear kinetic equations, with either Fokker-Planck or linearized BGK collision operator. Thanks to appropriate uniform estimates, we establis
Externí odkaz:
http://arxiv.org/abs/1812.05967
We establish uniform L $\infty$ bounds for approximate solutions of the drift-diffusion system for electrons and holes in semiconductor devices, computed with the Schar-fetter-Gummel finite-volume scheme. The proof is based on a Moser iteration techn
Externí odkaz:
http://arxiv.org/abs/1702.06300
Publikováno v:
In Journal of Computational Physics 15 February 2022 451
Publikováno v:
SMAI Journal of Computational Mathematics, 2016
This paper deals with diffusive limit of the p-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with an entropy-entropy flux pair, we give the convergence rate of classica
Externí odkaz:
http://arxiv.org/abs/1609.01436
Publikováno v:
Journal of Numerical Mathematics, De Gruyter, 2017, 25 (3)
In this paper, we study the large--time behavior of a numerical scheme discretizing drift-- diffusion systems for semiconductors. The numerical method is finite volume in space, implicit in time, and the numerical fluxes are a generalization of the c
Externí odkaz:
http://arxiv.org/abs/1601.00813