In reply to ringostar:
My variation on the theme is this:
One end is tied to the first bolt or sound ground anchor (tree).
This goes to a gri-gri on my harness and is the lead rope.
The other end has a Fig8 and a screw gate. This is clipped to the top krab in the quick draw in the clip stick.
Assuming now that you're hanging from the first bolt, to which you've climbed and clipped in.
The gri-gri is holding you on the rope through the first bolt. Stick clip the next bolt. You now have a rope hanging down from the second bolt, to which is fixed a shunt and a foot loop on a prusik (I forget the name, but that arrangement where the prusik loop is wrapped around a krab and the rope to make it easy to release).
Climb the rope, and pay out on the gri gri as you go. If the top bolt fails, the jolt onto the gri-gri will be brutal and it will lock. When you get to the bolt clip your gri-gri rope into the free lower krab of the QD. You may wish to clip in directly too.
Refit your clip stick and repeat. You should also tie your lead rope to the second bolt if you are just relying on the first bolt as your belay.
Depending on the length of your stick and the bolt spacing you may need to stand in a sling on the highest bolt you've reached. If you do, make sure that you are not attached directly to the bolt with a sling, but instead are belayed via your gri-gri.
This method has the temporary advantage that you weight each bolt with just your body weight for a while first. As you clip your gri-gri in and sit down on it, you double the load on the bolt (or thereabouts), so you may be happier clipping in directly each time and never weighting the belay rope.
My personal preference then is to thread the anchor, abseil off on both ropes and climb using the shunt. Make sure you centralise the rope first, especially if the end of the rope is tied to the first bolt - it is prudent therefore to make sure that the end of your lead rope is always on the ground and your first bolt belay is some way along the rope.
Down sides - you need a gri-gri, shunt, belay device and a prusik loop. You can substitute a clove hitch for the gri-gri - you are always sitting on another rope when you want to move the clove hitch, so it's no big deal. You can use a mini-traxion instead of the shunt.
Endless variations on the theme are available. All are a faff until you get the hang of them.