The method involves providing a rotating disc (1) vertically to remove the ceramic material in a propulsion direction (4) which is set in perpendicular to the rotation axis of the rotating disc. The rotating disc is pushed forward into a proximal open area (7) of a ceramic implant (5) or in an end surface (8) of a ceramic assembly element (6). The ceramic implant or ceramic assembly element is sintered before the producing the internal structure. Independent claims are included for the following: (1) a ceramic implant and (2) a ceramic assembly element.