Abstract: The invention relates to a control method for controlling a multi-beam apparatus having one or more beam sources for producing a plurality of beams of a system for manufacturing a three-dimensional workpiece by means of an additive layer construction method, in which method a material that can be solidified in order to manufacture the three-dimensional workpiece is applied in layers to a surface of a carrier and the material that can be solidified is solidified by the plurality of beams in a respective layer at points of incidence of the plurality of beams on the material that can be solidified, wherein the points of incidence of the beams for solidifying selective regions of the layers of the material that can be solidified in order to manufacture the three-dimensional workpiece are each controlled substantially against a gas flow direction of a gas flow over the surface of the carrier; wherein the control method comprises (a) dividing the material to be solidified in the respective layer into at least two s