We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymptotics are discussed by means of variational convergence techniques. Moreover, we investigate an abstract space discretization in the spirit of conformal finite elements. Eventually, stationarity is equivalently reformulated in terms of a Lagrangian.
Auricchio, F., Marino, M., Mazari, I., Stefanelli, U. (2024). Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity. APPLIED MATHEMATICS AND OPTIMIZATION, 89(2) [10.1007/s00245-024-10104-x].
Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity
Marino M.;
2024-01-01
Abstract
We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymptotics are discussed by means of variational convergence techniques. Moreover, we investigate an abstract space discretization in the spirit of conformal finite elements. Eventually, stationarity is equivalently reformulated in terms of a Lagrangian.| File | Dimensione | Formato | |
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