Boundary element method (BEM) simulations are presented for a range of scanning electrochemical microscopy applications. Calculations are performed to quantify the effects of the surrounding shield for a range of tip geometries and produce three-dimensional images of electrodes embedded in substrate surfaces. Approach curves are presented for a range of experimentally exploited probes, including the sphere-cap electrode. In addition, the BEM is used to generate a line scan across the interface between a conducting and nonconducting substrate for different tip geometries. The comparative resolution at a fixed tip-substrate separation for a microdisk and microhemisphere probe is noted. Finally, three-dimensional images of raised and recessed hemispherical electrodes embedded in nonconducting flat substrates are generated and the results compared to the image of a microdisk electrode.