An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
Irene Gamba, Maria Pia Gualdani, and Richard W. Sharp
Source: Commun. Math. Sci. Volume 7, Number 3 (2009), 635-664.
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 stability of the scheme are provided. The scheme is convergence and adaptable, and may use both polynomial and non-polynomial basis functions.
Primary Subjects: 65M12, 35Q40, 65M60, 81V10, 65M15, 65Z05
Keywords: Wigner-Fokker-Planck; discontinuous Galerkin
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Permanent link to this document: http://projecteuclid.org/euclid.cms/1256562817
Communications in Mathematical Sciences
