Z. Mahmood et Y. Kagawa, FINITE-ELEMENTS WITH DIVERGENCE-FREE SHAPE FUNCTION AND THE APPLICATION TO INHOMOGENEOUSLY-LOADED WAVE-GUIDE ANALYSIS, IEEE transactions on magnetics, 33(2), 1997, pp. 1496-1499
A simple mixed triangular edge element is proposed for the finite elem
ents, with which inhomogeneously-loaded and arbitrarily shaped wavegui
des are analyzed. The shape functions used for approximating the field
s are found analytically to be divergence-free. The formulation has be
en found to encounter spurious-free solutions. iis an evidence, tile n
on-physical solutions that appeared in the longitudinal component fini
te element formulation are shown to be absent in the present formulati
on, comparison with another mixed element is furnished here in order t
o demonstrate the advantages provided by the present element.