  We discuss the performance of two widely used nuclear mean-field models, the
relativistic mean-field theory (RMF) and the non-relativistic
Skyrme-Hartree-Fock approach (SHF), with particular emphasis on the description
of superheavy elements (SHE). We provide a short introduction to the SHF and
RMF, the relations between these two approaches and the relations to other
nuclear structure models, briefly review the basic properties with respect to
normal nuclear observables, and finally present and discuss recent results on
the binding properties of SHE computed with a broad selection of SHF and RMF
parametrisations.
