  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.
