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• W2056599885 abstract "In this work, we explore the use of operator splitting algorithms for solving regularized structural topology optimization problems. The context is a classical structural design problem (e.g., compliance minimization and compliant mechanism design), parametrized by means of density functions, whose ill-posedness is addressed by introducing a Tikhonov regularization term. The proposed forward–backward splitting algorithm treats the constituent terms of the cost functional separately, which allows for suitable approximations of the structural objective. We will show that one such approximation, inspired by the reciprocal expansions underlying the optimality criteria method, improves the convergence characteristics and leads to an update scheme resembling the heuristic sensitivity filtering method. We also discuss a two-metric variant of the splitting algorithm that removes the computational overhead associated with bound constraints on the density field without compromising convergence and quality of optimal solutions. We present several numerical results and investigate the influence of various algorithmic parameters." @default.
• W2056599885 created "2016-06-24" @default.
• W2056599885 creator A5035872999 @default.
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• W2056599885 date "2015-01-01" @default.
• W2056599885 modified "2023-10-15" @default.
• W2056599885 title "A closer look at consistent operator splitting and its extensions for topology optimization" @default.
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• W2056599885 doi "https://doi.org/10.1016/j.cma.2014.07.005" @default.
• W2056599885 hasPublicationYear "2015" @default.
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