derive AFEM for general PDE with relevance in industry: the Navier-Stokes equations for incompressible flow, the wave equation, linear elasticity, and multi-physics combinations of these equations.
derive fundamental properties of the methods, which are key for robustness and efficiency such as: energy conservation, stability, and a priori and a posteriori error estimates.
apply general FEM-algorithms such as assembly, adaptivity and local mesh refinement and have a basic understanding of their implementation in FEniCS-HPC.