Perturbation solutions for steady direct and inverse electrochemical machining problems

The steady state electrochemical machining process gives rise to both the direct problem which consists of determining the anode shape resulting from a specified cathode shape, and the inverse problem in which the cathode shape required to produce a given anode shape is sought. These two problems are solved by a perturbation scheme in which the perturbation parameter is the square of the ratio between the “wavelength” of the variation in the anode or cathode surfaces and the inter-electrode gap.