A drug delivery device for implantation into a patient is provided that includes at least one device element which comprises a substrate having a plurality of discrete reservoirs disposed therein, said reservoirs containing drug molecules and a degradable matrix material which controls in vivo release of the drug molecules from the reservoirs, wherein the drug delivery device is adapted to conform to a curved bone tissue surface. In one embodiment, the substrate is flexible and conforms to a bone tissue surface. In another embodiment, the device has two or more device elements attached to or integral with a flexible supporting layer.