Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system
Besse, Nicolas
HAL, hal-00594782 / Harvested from HAL
Text on HAL
A semi-Lagrangian scheme is proposed for solving the periodic one-dimensional Vlasov-Poisson system in phase space on unstructured meshes. The distribution function f(t, x, v) and the electric field E(t, x) are shown to converge to the exact solution values in the L∞ norm. The rate of convergence is in O(h4/3).
Publié le : 2004-07-05
Classification:  Vlasov-Poisson system,  semi-Lagrangian methods,  convergence analysis,  65M12, 82D10,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00594782,
     author = {Besse, Nicolas},
     title = {Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00594782}
}

Besse, Nicolas. Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00594782/