The Ph.D. thesis of Tobias Holzmann can be split into three different topics. i) thermal stress analysis using OpenFOAM®, ii) solid kinetic in aluminum alloys using MatCalc, iii) optimization algorithms using DAKOTA®. The thesis investigates into local heat treatment of aluminum alloys. Furthermore, the thesis includes a fundamental analysis of the relaxation methods in OpenFOAM®. The investigation into the relaxation is primarily related to the solid mechanic's calculation. The thesis is written in German.