Fast solver for electric motor design

Monumo is interested in computing physical properties of electric motors (torque, efficiency, back EMF) from their designs (shapes, materials, currents). This involves solving Maxwell's equations (non-linear PDEs). They currently compute the magnetic flux, and then use that to compute the other properties of interest. The main challenge they face is that they want to do this for many, many different designs. There seems to be lots of redundancy here, but exploiting it has proved difficult.