In this paper, a fast numerical procedure to analyze fundamental behaviors of concrete materials by the mesoscopic simulation is proposed. Two improvements make the proposed procedure fast. One of them is a numerical procedure based on the multiscale method in which the microscopic displacement can be calculated from the prescribed macroscopic stress directly. Another one is an effective parallel solver for the linear system derived from the image-based finite element method. The numerical properties and efficiency of the proposed procedure are alsoevaluated on a PC cluster.