Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Deluzet, Fabrice"'
Publikováno v:
In Journal of Computational Physics 15 January 2025 521 Part 2
In this paper we study the loss of precision of numerical methods discretizing anisotropic problems and propose alternative approaches free from this drawback. The deterioration of the accuracy is observed when the coordinates and the mesh are unrela
Externí odkaz:
http://arxiv.org/abs/1911.11482
Publikováno v:
In Computer Physics Communications August 2023 289
Publikováno v:
In Journal of Computational Physics 1 May 2023 480
Autor:
Degond, Pierre, Deluzet, Fabrice
The purpose of the present paper is to provide an overview of Asymptotic-Preserving methods for multiscale plasma simulations by addressing three singular perturbation problems. First, the quasi-neutral limit of fluid and kinetic models is investigat
Externí odkaz:
http://arxiv.org/abs/1603.08820
This paper presents a hybrid numerical method to solve efficiently a class of highly anisotropic elliptic problems. The anisotropy is aligned with one coordinate-axis and its strength is described by a parameter $\eps \in (0,1]$, which can largely va
Externí odkaz:
http://arxiv.org/abs/1511.00917
In this article, we design Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit, this limit being characterized by a Debye length negligible compared to the space scale of the problem. These methods
Externí odkaz:
http://arxiv.org/abs/1509.04235
Publikováno v:
In Journal of Computational Physics 1 June 2019 386:502-523
This paper is devoted to the numerical resolution of an anisotropic non-linear diffusion problem involving a small parameter \varepsilon, defined as the anisotropy strength reciprocal. In this work, the anisotropy is carried by a variable vector func
Externí odkaz:
http://arxiv.org/abs/1210.0681
Publikováno v:
Kinetic and Related Models 4 (2011), pp. 991 - 1023
The present work is devoted to the simulation of a strongly magnetized plasma considered as a mixture of an ion fluid and an electron fluid. For the sake of simplicity, we assume that the model is isothermal and described by Euler equations coupled w
Externí odkaz:
http://arxiv.org/abs/1104.3339