SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY
Guillaume Bal · Mathematical Models and Methods in Applied Sciences · 2000
We consider the coupling of angular discretizations of the two-dimensional linear transport equation. We show the well-posedness of the coupled problem and give an error estimate. The angular discretization is based on the discrete ordinates method. It involves a quadrature rule specifically designed for our coupling. The theory uses the integral formulation of transport and will be demonstrated on simplified geometries.