The thesis aims to explore non-overlapping domain decomposition methods with optimized transmission conditions for high-frequency Helmholtz problems. Students should first derive the Helmholtz formulation and test methods on a simpler model problem. Successful approaches transition to Helmholtz for a prototype proof-of-concept solver in C++ or Python using an FEM library. Model problem experiments analyze convergence behavior; Helmholtz experiments focus on proof-of-concept if performed. Optional: modelling of application examples and/or numerical algorithm analysis.