Method for producing an article made of concrete or mortar by means of 3D printing, in which (a) webs of a concrete or mortar compound are applied on top of one another in layers, as a result of which a base portion of the article is produced, (b) a support structure is arranged on a feedthrough region of the base portion, which support structure extends from a lateral surface of the article to a further lateral surface, (c) further webs of the concrete or mortar compound are applied on top of one another in layers on a wall region (B') which is adjacent to the feedthrough region on one or both sides, as a result of which a wall portion is produced which is adjacent to the support structure on one side, or two wall portions of the article are produced which are adjacent to the support structure on both sides, the height of which wall portion or wall portions corresponds to the height of the support structure, (d) further webs of the concrete or mortar compound are applied on top of one another in layers on the wall portion or wall portions and the support structure, as a result of which a cover portion of the article is produced, the support structure being suitable for accelerating the curing of the surrounding concrete or mortar compound, characterised in that the support structure - is a prefabricated component which is removed after method step (d) and a complete or partial curing of the concrete or mortar compound, and - is equipped with a heating device in order to heat the concrete or mortar compound and thereby accelerate curing, or - secretes chemicals which accelerate curing, or - comprises a feedthrough and remains in the article and is equipped with a heating device in the feedthrough in order to heat the concrete or mortar compound and thereby accelerate curing, or - is produced on the feedthrough region by means of 3D printing and is removed after method step (d) and a complete or partial curing of the concrete or mortar compound and secretes chemicals which accelerate curing. (a) webs of a concrete or mortar compound are applied on top of one another in layers, as a result of which a base portion of the article is produced, (b) a support structure is arranged on a feedthrough region of the base portion, which support structure extends from a lateral surface of the article to a further lateral surface, (c) further webs of the concrete or mortar compound are applied on top of one another in layers on a wall region (B') which is adjacent to the feedthrough region on one or both sides, as a result of which a wall portion is produced which is adjacent to the support structure on one side, or two wall portions of the article are produced which are adjacent to the support structure on both sides, the height of which wall portion or wall portions corresponds to the height of the support structure, (d) further webs of the concrete or mortar compound are applied on top of one another in layers on the wall portion or wall portions and the support structure, as a result of which a cover portion of the article is produced, the support structure being suitable for accelerating the curing of the surrounding concrete or mortar compound, characterised in that the support structure - is a prefabricated component which is removed after method step (d) and a complete or partial curing of the concrete or mortar compound, and - is equipped with a heating device in order to heat the concrete or mortar compound and thereby accelerate curing, or - secretes chemicals which accelerate curing, or - comprises a feedthrough and remains in the article and is equipped with a heating device in the feedthrough in order to heat the concrete or mortar compound and thereby accelerate curing, or - is produced on the feedthrough region by means of 3D printing and is removed after method step (d) and a complete or partial curing of the concrete or mortar compound and secretes chemicals which accelerate curing. the support structure being suitable for accelerating the curing of the surrounding concrete or mortar compound, characterised in that the support structure - is a prefabricated component which is removed after method step (d) and a complete or partial curing of the concrete or mortar compound, and - is equipped with a heating device in order to heat the concrete or mortar compound and thereby accelerate curing, or - secretes chemicals which accelerate curing, or - comprises a feedthrough and remains in the article and is equipped with a heating device in the feedthrough in order to heat the concrete or mortar compound and thereby accelerate curing, or - is produced on the feedthrough region by means of 3D printing and is removed after method step (d) and a complete or partial curing of the concrete or mortar compound and secretes chemicals which accelerate curing. - is a prefabricated component which is removed after method step (d) and a complete or partial curing of the concrete or mortar compound, and - is equipped with a heating device in order to heat the concrete or mortar compound and thereby accelerate curing, or - secretes chemicals which accelerate curing, or - comprises a feedthrough and remains in the article and is equipped with a heating device in the feedthrough in order to heat the concrete or mortar compound and thereby accelerate curing, or - is produced on the feedthrough region by means of 3D printing and is removed after method step (d) and a complete or partial curing of the concrete or mortar compound and secretes chemicals which accelerate curing.