Thermo-elastic errors in machine tools have a significant influence on the machining accuracy. The error at the tool center point can be determined with the structure model based correction, which uses physical based models like finite element models. The output of the structure model is the volumetric thermo-elastic error in the workspace of the machine tool. The correction values of the machine axes are determined based on the volumetric error with the help of a kinematic model. Therefore, three variants are presented in this article and their influence on the correction accuracy is estimated. The evaluation is based on typical thermo-elastic errors in the workspace of machine tools. The influence of the different variants on the correction accuracy is estimated with the Monte Carlo method based on randomly generated errors in the workspace of the machine.