A method of polishing a surface of a substrate using an apparatus comprising a polishing pad, a polishing head having a subcarrier with a lower surface, a flexible member extending substantially across the lower surface, the flexible member having a receiving surface adapted to hold the substrate so as to press the substrate against the polishing pad, and a control-insert disposed between the flexible member and the lower surface, the method comprising steps of:
- positioning the substrate on the receiving surface of the flexible member;
- pressing the surface of the substrate against the polishing pad to provide a variable rate of removal of material across the surface of the substrate;
- and
- providing relative motion between the subcarrier and the polishing pad to polish the surface of the substrate, whereby non-planar polishing of the surface of the substrate is inhibited.