Communications in Mathematical Sciences
Volume 7 (2009)
An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
Pages: 635 – 664
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 stability of the scheme are provided. The scheme is convergence and adaptable, and may use both polynomial and non-polynomial basis functions.
Wigner-Fokker-Planck; discontinuous Galerkin
2010 Mathematics Subject Classification
35Q40, 65M12, 65M15, 65M60, 65Z05, 81V10