CONVERGENCE OF A FULLY DISCRETE SCHEME FOR TWO-DIMENSIONAL NEUTRON TRANSPORT*

We prove an error estimate for a fully discrete method for the numerical solution of a two-dimensional model problem in neutron transport theory based on using the discrete ordinates method for the angular variable and the discontinuous Galerkin finite element method with piecewise linear trial functions for the space variable. Introduction. In this note we prove an error estimate for a fully discrete method for the numerical solution of a two-dimensional model problem in neutron transport theory based on using the discrete ordinates method for the angular variable and the discontinuous Galerkin finite element method for the space variable. Methods of this type have been used in engineering computations (see e.g. (10)). In the one-dimensional case (slab geometry) an analysis of fully discrete schemes