Board Thread:Dark Souls/@comment-6132984-20130527160819/@comment-667748-20130529104723

If you can deal more than about 230 damage per shot, you should be able to beat his healing ability. I doubt you have that output.

However, he only heals when he is at 1/3rd of his health, so you can do the bulk of the damage with a bow, and finish him off with melee.