Analysis of a combined Filtered/phase-field approach to topology optimization in elasticit

2024/01/23 by Ferdinando Auricchio, Auricchio, Ferdinando, Michele Marino +5
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Composite Structure Analysis and Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Topology Optimization in Engineering

paper · pdf · doi:10.48550/arxiv.2401.12675

openalex publication_date 2024/01/23 · openalex created_date 2024/01/25 · openalex updated_date 2026/07/28

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.

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