Simulation of current flow in piecewise constant media

A boundary method is presented and is used to calculate the electric potential throughout two-dimensional regions which represent cross-sections of the human body. The method differs from the usual boundary element method by representing both the boundaries and the voltages supported on them as smooth (i.e. infinitely differentiable). Examples are given which show the flow of current through the chest due to electrodes placed on its surface, and that throughout the brain due to a dipole source within the grey matter.