This paper deals with the solution of linear
inverse problems in magnetostatics. The case the authors
have broached is finding the current density on the basis of
magnetic field values. Solving this kind of equation is an
ill-posed problem. Exact magnetic field values and measured
values lead to different cases, each of which is presented. To
solve them, the authors use the conjugate gradient method
with iterative regularization. They present numerical results
for the design of magnets, gradient and shim coils, and
numerical results for the problem of recovering current
density values from measured field values.