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Shape calculus and automatic differentiation for multi-phase level-set topology optimisation with unfitted finite elements

Wegert, Zachary J. et al.
arXiv (OAI Expanded) · Papers
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numerical-analysisoptimization-and-control
We present shape calculus techniques and a scalable automatic shape differentiation framework for multi-phase topology optimisation on unfitted discretisations defined by several level-set functions. First we establish general, exact shape calculus expressions in the discrete case for multi-phase sy
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