Ie. Lager et G. Mur, THE FINITE-ELEMENT MODELING OF STATIC AND STATIONARY ELECTRIC AND MAGNETIC-FIELDS, IEEE transactions on magnetics, 32(3), 1996, pp. 631-634
A finite-element method is described for computing static and stationa
ry electric and magnetic fields directly in terms of the electric or m
agnetic field strength. In this way the use of (vector) potentials is
avoided and a much higher accuracy is achieved with the same computati
onal effort. The curl equation is supplemented with the electromagneti
c compatibility relations and a problem is defined which is known to h
ave a unique solution. For satisfying the conditions at the interfaces
between different media use is made of both edge and nodal elements.
The validity of our approach is illustrated by solving a simple sample
problem.