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Shape optimization based on analytical shape derivatives is meanwhile a well-established tool in engineering applications.For an appropriate discretization of the underlying problem,the technique of algorithmic differentiation can also be used to provide a discrete analogue of the analytic shape derivative.The present article is conced with the comparison of both types of gradient calculation and their effects on a gradient-based optimization method with respect to accuracy and performance,since so far only a few attempts have been made to compare these approaches.For this purpose,the article discusses both techniques and analyses the obtained numerical results for a generic test case from electromagnetic shaping.Since good agreement of both methods is found,algorithmic differentiation seems to be worthwhile to be used also for more demanding shape optimization problems.