In this bachelor thesis a parallel geometric multigrid solver is extended to be used with the sparse grid combination technique. To test this method the stationary advection-diffusion equation is used, which is discretized by the finite volume element method. Suitable multigrid components are chosen and their convergence and parallel efficiency is tested in numerical experiments. The implementation uses the Distributed and Unified Numerics Environment (DUNE) for the solver and discretization. The SG++ Distributed Combigrid module is employed for the combination technique. A small weak scaling study is conducted to measure the influence of the aspect ratio of the grids.