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Current methods to obtain fluxmetric and magnetometric demagnetizing factors assume a uniform susceptibility and solve initially the surface magnetic pole density. In this paper, a different approach is applied. This approach considers susceptibility as a function of position and finds the field distributions directly. It is proved that the magnetization distribution and the corresponding magnetic field minimize the magnetostatic energy and thus are the unique solution to the given magnetostatic problem. To verify the method, both rectangular and cylindrical magnetic media with nonlinear magnetization curves or a step change in susceptibility are considered.