  We present results from simulations on two aspects of quark confinement in
the pure gauge sector. First is the calculation of the profile of the flux tube
connecting a static $q \bar{q}$ pair in $SU(2)$. By using the Michael sum rules
as a constraint we give evidence that the energy density at the center of the
flux tube goes to a constant as a function of quark separation. Slow variation
of the width and energy density is not ruled out. Secondly in the confined
phase of lattice $U(1)$ we calculate the curl of the magnetic monopole current
and show that the dual London equation is satisfied and that the electric
fluxoid is quantized.
