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

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

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...

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Veröffentlicht in:Communications in mathematical sciences 2009, Vol.7 (3), p.635-664
Hauptverfasser: Gamba, Irene, Gualdani, Maria Pia, Sharp, Richard W.
Format: Artikel
Sprache:eng
Schlagworte:
35Q40
65M12
65M15
65M60
65Z05
81V10
discontinuous Galerkin
Wigner-Fokker-Planck
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Beschreibung
Zusammenfassung: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.
ISSN:1539-6746
1945-0796
DOI:10.4310/CMS.2009.v7.n3.a7