Whenever solving for more than a single vector component, it is generally not possible to use Lagrange elements for electromagnetic modeling. The reason is that they force the fields to be continuous everywhere. This implies that the physics interface conditions, which specify that the normal components of the electric fields and the tangential components of the magnetic fields are discontinuous across interior boundaries between media with different permittivity and permeability, cannot be fulfilled. To overcome this problem, the The A Formulation, The A–V Formulation, and The A–Vm Formulation based interfaces use the curl element, which does not have this limitation. The curl element is also named as vector element or edge element.

The solution obtained when using curl elements also better fulfills the divergence conditions ∇ · D = ρ and ∇ · B = 0 than when using Lagrange elements.