Abstract
One of the most important applications of sensitivity analysis is gradient computation for optimal design. This paper focuses on the use of Continuous Sensitivity Equation Methods (CSEMs) for shape sensitivity calculations within an optimal design problem. Two methods for computing the shape sensitivities are introduced. The implementations of the methods are very similar; however, the sensitivity approximations obtained from these methods have different convergence properties. Furthermore, gradient approximations computed using each of the sensitivities significantly impact the performance of a trust region algorithm used for parameter identification. This paper includes an overview of the CSEMs and detailed results of the optimization algorithm for each of the CSEM implementations.
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Dedicated to the memory of Professor P.D. Panagiotopoulos.
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© 2001 Kluwer Academic Publishers
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Stanley, L.G. (2001). Shape Sensitivities for Optimal Design: A Case Study on the Use of Continuous Sensitivity Equation Methods. In: Gao, D.Y., Ogden, R.W., Stavroulakis, G.E. (eds) Nonsmooth/Nonconvex Mechanics. Nonconvex Optimization and Its Applications, vol 50. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0275-9_17
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DOI: https://doi.org/10.1007/978-1-4613-0275-9_17
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