Solving Large-Scale Inverse Magnetostatic Problems using the Adjoint   Method
  An efficient algorithm for the reconstruction of the magnetization state within magnetic components is presented. The occurring inverse magnetostatic problem is solved by means of an adjoint approach, based on the Fredkin-Koehler method for the solution of the forward problem. Due to the use of hybrid FEM-BEM coupling combined with matrix compression techniques the resulting algorithm is well suited for large-scale problems. Furthermore the reconstruction of the magnetization state within a permanent magnet is demonstrated. 
Florian Bruckner, Claas Abert, Gregor Wautischer, Christian Huber,   Christoph Vogler, Michael Hinze, Dieter Suess
physics.comp-ph