The present invention relates to an arrangement (10) for heating of a magnetic material (100) located in the center region of an inscribed sphere within a region of action, which arrangement comprises: —selection means (210) for generating a magnetic selection field (211) having a pattern in space of its magnetic field strength such that a first sub-zone (301) having a low magnetic field strength and a second sub-zone (302) having a higher magnetic field strength are formed in the region of action (300), —drive means (220) for changing the position in space of the two sub-zones (301, 302) in the region of action (300) by means of a magnetic drive field (221) so that the magnetization of the magnetic material (100) changes locally, and —control means (76) for controlling the drive means (220) to change the position in space of the first sub-zone (301) along a sequence of locations around said inscribed sphere for so long and with such a frequency that the center region of said inscribed sphere is heated.