A posteriori error estimates for the Fokker-Planck and Fermi pencil beam equations.
Artikel i vetenskaplig tidskrift, 2000

We prove a posteriori error estimates for a finite element method for steady-state, energy dependent, Fokker-Planck and Fermi pencil beam equations in two space dimensions and with a {\sl forward-peaked scattering} (i.e., with velocities varying within the right unit semi-circle). Our estimates are based on a {\sl transversal symmetry assumption}, together with a strong stability estimate for an associated dual problem combined with the Galerkin orthogonality of the finite element method.

Pencil beam

interpolation estimates

strong stability

Galerkin orthogonality



adaptive finite element

dual % problem

a posteriori error estimates


Mohammad Asadzadeh

Institutionen för matematik

Göteborgs universitet

Mathematical Models and Methods in Applied Science

Vol. 10 737-769