TY - JOUR
T1 - Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity
AU - Auricchio, Ferdinando
AU - Marino, Michele
AU - Mazari, Idriss
AU - Stefanelli, Ulisse
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
PY - 2024/2/19
Y1 - 2024/2/19
N2 - 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.
AB - 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.
KW - Elasticity
KW - Existence
KW - Filter
KW - Lagrangian formulation
KW - Phase field
KW - Space-discretization
KW - Topology optimization
KW - Γ-Convergence
UR - http://www.scopus.com/inward/record.url?scp=85185395744&partnerID=8YFLogxK
U2 - 10.1007/s00245-024-10104-x
DO - 10.1007/s00245-024-10104-x
M3 - Article
AN - SCOPUS:85185395744
SN - 0095-4616
VL - 89
JO - Applied Mathematics and Optimization
JF - Applied Mathematics and Optimization
M1 - 41
ER -