On convergence of FEM for the Fokker-Planck equation
Paper in proceedings, 1997

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.

Fermi equation

Pencil beams

Fokker-Planck equation

Weighted norms

A priori error estimates

Author

Mohammad Asadzadeh

University of Gothenburg

Department of Mathematics

Proceedings of 20th International Symposium on Rarefied Gas Dynamics, ed by C. Shen, Peking University Press, Beijing, August 19-23 (1996),

309-314

Subject Categories

Computational Mathematics

ISBN

7-301-03352-4-391

More information

Created

10/7/2017