Theoretical and numerical analysis of a minimal residual solver for 2D Boltzmann transport equation

摘要

Relying on the splitting of the collision operator introduced in (M2AN 34 (2000) 1109; (M2AN 32 (1998) 341), we prove theoretical convergence for an infinite dimensional adaptation of the minimal residual algorithm for Boltzmann transport equation in dimension two. Then we compare numerically this method with existing nonaccelerated schemes. It gives good results which could even be further improved by adding a DSA or SOR acceleration.