Results of numerical studies on the correction of laser beam turbulent distortions under conditions of wave front dislocations are presented. To detect singular points, two algorithms are used and their accuracy estimated. Beam controlling based on phase conjugation is considered. When analyzing the correction, a flexible mirror and an ideal corrector, which allows reproduction of the phase surface with almost no restrictions, are used as control elements. The efficiency of turbulence compensation by these two types of correctors is compared. The peculiarities arising in the adaptive system due to the use of a mirror are shown.