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

University of Gothenburg

Department of Mathematics

309-314

Computational Mathematics

7-301-03352-4-391