Abstract: A method is proposed for the solidification of a non-metal melt (130) which is located in a crucible (120) arranged in the device (100), wherein the device (100) has a multiplicity of inductors (100) for the creation of magnetic fields. By feeding in a first set of phase-displaced alternating currents (I1a, I2b, I3c, I4d) having a first frequency (f1), a first travelling field (W1) is created in the melt (130). By feeding in at least one second set of phase-displaced alternating currents (I2a, I2b, I3c, I4d) having a second frequency (f2), a second travelling field (W2) is created in the melt (130) which is directed against the first travelling field (W1), wherein the inductors (100) are arranged on the crucible (120) in a vertically extending arrangement, so that the alternating fields created (W1, W2) pass through the melt (130) in vertical direction (Y) and have a flow force minimum on the crucible or vessel wall.