Accelerating iterative methods for the anisotropic radiative transfer equation using Anderson Acceleration

This paper concerns the iterative solution of the linear system which comes from the discretization of the anisotropic radiative transfer equation. The goal is to create a fast converging method using Anderson Acceleration. With Anderson Acceleration a method can converge within fewer iterations or it might turn a diverging method into a converging one. The results are shown for numerical examples, which showcase the effect of Anderson Acceleration. The mixed-system with subspace correction and Anderson Acceleration converges with a low computation time for all our examples, making it a great candidate if a proof can be given in the future that the method will converge for all values for the parameters.