An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
Gamba, Irene ; Gualdani, Maria Pia ; Sharp, Richard W.
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 635-664 / Harvested from Project Euclid
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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.
Publié le : 2009-09-15
Classification:  Wigner-Fokker-Planck,  discontinuous Galerkin,  65M12,  35Q40,  65M60,  81V10,  65M15,  65Z05 
@article{1256562817,
     author = {Gamba, Irene and Gualdani, Maria Pia and Sharp, Richard W.},
     title = {An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck
					equation},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 635-664},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562817}
}

Gamba, Irene; Gualdani, Maria Pia; Sharp, Richard W. An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck
					equation. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  635-664. http://gdmltest.u-ga.fr/item/1256562817/