Hermitian and Skew-Hermitian splitting methods for streamline upwind Petrov-Galerkin approximations of a grid-aligned flow problem

In this paper, we study the convergence of two-step iterative methods based on Hermitian and skew-Hermitian splitting of the coefficient matrix for solving the linear systems obtained from the bilinear finite element discretisation of a model two-dimensional convection-diffusion problem. Analytic expressions for the optimal convergence factors are derived. The inexact and preconditioned versions of the methods have been analyzed via an extensive set of computational experiments.