Finding forces/torques on a permanent magnet from a coil

[refind]

I want to know what methods there are for calculating forces by a current-carrying coil on a permanent magnet (the application I have in mind is electrical motors). I.e. given a geometry (like a CAD model of the magnet), the magnet type (e.g neodymium), and wire coil geometry, how are the forces calculated?

I tried looking for some papers but had no luck. I'll appreciate any pointers. Thanks!

 

[robphy]

A starting point might be
https://www.google.com/search?q=force+on+a+current+carrying+coil

... but eventually you'll probably need something on "computational electromagnetics"
https://www.google.com/search?q=computational+electromagnetics