Disclosed herein is a method for producing a part comprising at least one layer of fiber-reinforced composite material. Said method encompasses at least the following steps: a) the at least one layer of polymerizable fiber-reinforced composite material is arranged in a shape that has a base and a plurality of elevations; b) at least one mold is placed so as to be in contact with at least one elevation, said mold having a microwave-sensitive material at least on one contact surface towards the at least one elevation; c) the at least one elevation is polymerized by irradiating the at least one mold with microwaves. The mold used has a stable three-dimensional shape and has a contact surface for the part. At least the contact surface is made of microwave-sensitive material.