Ie. Lager et G. Mur, LEAST-SQUARES MINIMIZING FINITE-ELEMENT FORMULATION FOR STATIC AND STATIONARY ELECTRIC AND MAGNETIC-FIELDS, IEEE transactions on magnetics, 34(5), 1998, pp. 2419-2424
The present paper describes a: finite-element formulation for static a
nd stationary electric and magnetic fields in terms of the electric an
d of the magnetic field strength. The formulation is based on a simult
aneous minimisation in the least-squares sense of the error in modelli
ng the curl and the divergence equations. For consistently modelling t
he field equations and the interface and boundary conditions, use is m
ade of generalised Cartesian expansion functions.