An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations : diffusion and high-field scaling limits

@inproceedings{Crouseilles2010AnAP,
  title={An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations : diffusion and high-field scaling limits},
  author={Nicolas Crouseilles and Mohammed Lemou},
  year={2010}
}
In this work, we extend the micro-macro decomposition based numerical schemes developed in [3] to the collisional Vlasov-Poisson model in the diffusion and high-field asymptotics. In doing so, we first write the Vlasov-Poisson model as a system that couples the macroscopic (equilibrium) part with the remainder part. A suitable discretization of this micro-macro model enables to derive an asymptotic preserving scheme in the diffusion and high-field asymptotics. In addition, two main improvements… CONTINUE READING