The study of convergence of parabolic sweeps method in domains of nonrectangular shape

The aim of the paper presented herein is the study of the convergence of the mixed HFPS (h-factorization parabolic sweeps) method for solving the problems in nonrectangular domains, hexagonal geometries as well as in the absence of diagonal predominance to find the new regions of the application of this method. For the sake of comparison the same problems were solved by the method of variable directions in the simplest version without the choice of the optimum values of the accelerating parameters.