GMRes Algorithm and Symmetric Gauss-Seidel Preconditioning Solver for 2-D Boltzmann Transport Equation

摘要

This paper describes a new algorithm to solve the neutron transport stationary equation in 2-D geometry. This algorithm is based on a splitting of the collision operator and an infinite dimensional adaptation of the GMRes method accelerated by a symmetric Gauss-Seidel preconditioning. The theoretical proof of the convergence and the numerical results are given in this work.