Adaptive methods are imperative.
Swedish industry, e.g. companies like Saab Aerospace , Volvo Aero Corporation and ABB Corporate Research , screams for more research in this area. Without adaptive techniques, a lot of the problems they need to solve, are simply impossible to deal with. A pronounced goal is that the principles and methods that hopefully will stem from this research, will apply to all kinds of numerical simulations. It is likely that methods for partitioning and load-balancing are useful, no matter what the underlying equations might be. However, we are currently looking at Maxwell's equations, which describe electro-magnetic phenomena.