An adaptable Discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation

Abstract

Recent analytic progress has increased demand for numerical approaches to the Wigner-Fokker-Planck (WFP) equation. We present a Discontinuous Galerkin scheme for the WFP equation with a general potential. Estimates showing convergence and stability of the scheme are provided. The scheme is adaptable, and may use both polynomial and non-polynomial basis functions. © 2009 International Press.