The crystallization system includes a crucible provided with a bottom and with side walls designed to contain the material to be solidified and a device for creating a main thermal gradient inside the crucible in a perpendicular direction to the bottom of the crucible. An additional inductive heating device is arranged at the level of the side walls of the crucible facing the liquid material and without overlapping with the solid phase. This additional inductive heating device is configured to heat a part of the crystalline material located in the vicinity of the triple contact line between the liquid material, the solidified material and the crucible so that the interface between the liquid material and the solidified material forms a convex meniscus in the vicinity of the triple contact line.