In the present work, the analytical model proposed by Van Houtte et al. (1993) is applied to predict geometric earing in cup drawing using a non-circular blank geometry. In order to validate the theoretical results, non-linear finite element simulations were carried out. It is observed that the predictions of the theoretical model are in close agreement with the results of the finite element simulations, even for unusual blank contours. Based on this confidence, the analytical earing model is paired with a simple iterative earing compensation procedure in order to calculate the blank contour which is required to obtain an earing-free cup. These results, in turn, are confronted with those obtained by means of the analytical earing compensation approach proposed by Engler et al. (2011). Very good agreement between both approaches is found. Practical applications of the analytical earing compensation approach involving anisotropic materials demonstrate its very good performance.