• 文献标题:   A MICRO-MACRO METHOD FOR A KINETIC GRAPHENE MODEL IN ONE SPACE DIMENSION
  • 文献类型:   Article
  • 作  者:   CROUSEILLES N, JIN S, LEMOU M, MEHATS F
  • 作者关键词:   phasespace model, highly oscillatory momentumspacetime, uniformly accurate numerical method, micromacro decomposition
  • 出版物名称:   MULTISCALE MODELING SIMULATION
  • ISSN:   1540-3459 EI 1540-3467
  • 通讯作者地址:   Univ Rennes
  • 被引频次:   0
  • DOI:   10.1137/18M1173770
  • 出版年:   2020

▎ 摘  要

In this paper, we propose a numerical method solving the one space dimensional semiclassical kinetic graphene model introduced in [O. Morandi and F. Schurrer, T. Phys. A, 44 (2012), pp. 265-301] involving fast oscillations in time, space, and momentum. This method can numerically capture the oscillatory space-time quantum solution pointwisely even without numerically resolving the frequency. We prove that the underlying micro-macro equations have smooth (up to a certain order of derivatives) solutions with respect to the frequency, and then we prove the uniform accuracy of the numerical discretization for a scalar model equation exhibiting the same oscillatory behavior. Numerical experiments verify the theory.