# $L_p$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport Artikel i vetenskaplig tidskrift, 1989

The convergence of the discrete ordinates method is studied for angular discretization of the neutron transport equation for a two-dimensional model problem with the constant total cross section and isotropic scattering. Considering a symmetric set of quadrature points on the unit circle, error estimates are derived for the scalar flux in $L_P$ norms for $1 \leqq p \leqq \infty$. A postprocessing procedure giving improved $L_\infty$ estimates is also analyzed. Finally error estimates are given for simple isolated eigenvalues of the solution operator.

LP estimates

eigenvalue estimates

neutron transport equation

postprocessing

discrete ordinates method scalar flux

## Författare

Institutionen för matematik

Göteborgs universitet

Vol. 26 1 66-87

#### Ämneskategorier

Beräkningsmatematik

2017-10-07