Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system

  title={Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system},
  author={Martin Campos Pinto and Michel Mehrenberger},
  journal={Numerische Mathematik},
An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic 1+1-dimensional Vlasov-Poisson system in the two-dimensional phase space is proposed and analyzed. A key feature of our method is the accurate evolution of the adaptive mesh from one time step to the next one, based on a rigorous analysis of the local regularity and how it gets transported by the numerical flow. The accuracy of the scheme is monitored by a prescribed tolerance parameter ε which… CONTINUE READING


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