The invention relates to a method and an associated device, the method including at least the following steps: applying a layer of powder to a component platform in the region of a building and joining area; locally melting and/or sintering the powder layer, wherein, in the region of the building and joining area, at least one high-energy beam is moved in relation to the component platform, selectively impinging the powder layer, at least part of which at least one high-energy beam and the component platform are moved in relation to one another, in the form of a parallel arrangement arranged along a linear feed direction; lowering the component platform by a predetermined layer thickness in a lowering direction; and repeating the above-mentioned steps until the component region is completed.