The powerful narrow jets observed to emanate from many compact accreting ob
jects may arise from the twisting of a magnetic field threading a different
ially rotating accretion disk that acts to extract magnetically the angular
momentum and energy from the disk. Two main regimes have been discussed, h
ydromagnetic outflows, which have a significant mass flux and which have th
e energy and angular momentum carried by both the matter and the electromag
netic field, and Poynting outflows, in which the mass flux is negligible an
d the energy and angular momentum are carried predominantly by the electrom
agnetic field. Recent simulation studies have focused almost exclusively on
hydromagnetic outflows. Here we consider a Keplerian disk initially thread
ed by a dipole like poloidal magnetic field. We present the first MHD simul
ation results establishing that a quasi-stationary collimated Poynting jet
arises from the inner part of the disk while a steady uncollimated hydromag
netic outflow arises in the outer part of the disk.