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# On convergence of FEM for the Fokker-Planck equation

Proceedings of 20th International Symposium on Rarefied Gas Dynamics, ed by C. Shen, Peking University Press, Beijing, August 19-23 (1996), p. 309-314. (1997)
[Konferensbidrag, refereegranskat]

We give a priori error estimates in certain weighted $L_2$-norms for some finite element methods for steady state, energy dependent, Fermi and Fokker-Planck equations in two space dimensions, with the error bounds of order ${\Cal O}(h^{k+1/2})$, for the weighted current function $J\in H^{k+1}(\Omega)$ with $h$ being the quasi-uniform mesh size in triangulation of the three dimensional phase-space domain $\Omega =I_x\times I_y\times I_z$, where $z$ corresponding to the velocity variable.

Nyckelord: A priori error estimates, Pencil beams, Fermi equation, Fokker-Planck equation, Weighted norms