i.e., that the free currents flow in closed loops. Likewise, the time derivative of the fourth Maxwell equation implies that Jfree has no time dependence in magnetostatics. Often, magnetostatics is taken to be the situation in which ∇ · Jfree = 0 and D, E and Jfree have no time dependence, without explicit assumption that B and H also have no time dependence. Discuss the possibility of waves of...

The Ampère theorem and the Biot–Savart law are well known tools used to calculate magnetic fields created by currents. Their use is not limited to the case of magnetostatics; they can also be used in time-dependent problems. We show in this paper that the highly classical example of a straight wire,generally treated as a simple magnetostatics problem, should be considered in the framework of ti...

Edge-elements are introduced and discussed in the context of complementarity, a desirable characteristic of numerical methods, by which solutions which are equally satisfactory as regards both fields b and h are obtained. By making the vector potential approach easier than with standard nodal elements, edge-elements enhance complementarity. We discuss comparative merits of both kinds of elements.

We recall the classical tree-cotree technique in magnetostatics. (1) extend it frame of high-order finite elements general domains. (2) focus on its connection with question invertibility final algebraic system arising from a edge element discretization magnetostatic problem formulated terms magnetic vector potential. With same purpose invertibility, we analyse another classically used conditio...