The aim of this work is to apply the Space Time Finite Element Method on problems of additive manufacturing, such as Selective Laser Melting, within the parallel framework AdhoC++. Therefore, the nonsymmetric matrix discretizations for the heat and latent heat equation are derived and solved with direct solvers and GMRES. The results from the linear and nonlinear heat equation are compared to analytic solutions, and convergence studies of the applications are presented. Throughout the thesis, the differences between the Space Time Finite Element Method and Finite Element Method are highlighted, resulting in a final benchmark of the two methods. The solutions of the latent heat equation, which results in a phase change, are compared against the solutions of a Stefan problem and a commercial Finite Element Method software package. Additional insights regarding stability, computational implementation and parallel aspects of the Space Time Finite Element Method are given.     «

The aim of this work is to apply the Space Time Finite Element Method on problems of additive manufacturing, such as Selective Laser Melting, within the parallel framework AdhoC++. Therefore, the nonsymmetric matrix discretizations for the heat and latent heat equation are derived and solved with direct solvers and GMRES. The results from the linear and nonlinear heat equation are compared to analytic solutions, and convergence studies of the applications are presented. Throughout the thesis, th...     »