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math.OC2025★ 7 cited
Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
Zachary J. Wegert, Jordi Manyer, Connor Mallon +2
In this paper we develop automatic shape differentiation techniques for unfitted discretisations and link these to recent advances in shape calculus for unfitted methods. We extend…
math.OC2023★ 7 cited
A Hilbertian projection method for constrained level set-based topology optimisation
Zachary J. Wegert, Anthony P. Roberts, Vivien J. Challis
We present an extension of the projection method proposed by Challis et al. (Int J Solids Struct 45(14$\unicode{x2013}$15):4130$\unicode{x2013}$4146, 2008) for constrained level se…