  We review the prediction of fission properties of super-heavy elements (SHE)
by self-consistent mean-field models thereby concentrating on the widely used
Skyrme-Hartree-Fock (SHF) approach. We explain briefly the theoretical tools:
the SHF model, the calibration of model parameters together with statistical
analysis of uncertainties and correlations, and the involved computation of
fission lifetimes. We present an overview of fission stability in comparison to
other decay channels over the whole landscape of SHE reaching deep into the
$r$-process domain. The main emphasis lies on a detailed discussion of the
various ingredients determining eventually the fission properties. The main
result is that fission is an involved process which explores many different
influences with almost equal share, basic bulk properties (also known as
liquid-drop model parameters), pairing strengths, and shell effects. %
