TY - JOUR
T1 - Accelerated fixed-point formulation of topology optimization
T2 - Application to compliance minimization problems
AU - Li, Weichen
AU - Suryanarayana, Phanish
AU - Paulino, Glaucio H.
N1 - Funding Information:
The authors gratefully acknowledge the support provided by the National Science Foundation (NSF) under grant number 1663244.
Funding Information:
The authors gratefully acknowledge the support provided by the National Science Foundation (NSF) under grant number 1663244 .
Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2020/1
Y1 - 2020/1
N2 - We present a simple, effective, and scalable approach for significantly accelerating the convergence in Topology Optimization simulations. Specifically, treating the design process as a fixed-point iteration, we propose employing a recently developed acceleration technique in which Anderson extrapolation is applied periodically, with simple weighted relaxation used for the remaining steps. Through selected examples in compliance minimization, we show that the proposed approach is able to accelerate the overall simulation several fold, while maintaining the quality of the solution.
AB - We present a simple, effective, and scalable approach for significantly accelerating the convergence in Topology Optimization simulations. Specifically, treating the design process as a fixed-point iteration, we propose employing a recently developed acceleration technique in which Anderson extrapolation is applied periodically, with simple weighted relaxation used for the remaining steps. Through selected examples in compliance minimization, we show that the proposed approach is able to accelerate the overall simulation several fold, while maintaining the quality of the solution.
KW - Anderson extrapolation
KW - Compliance minimization
KW - Fixed-point iteration
KW - Optimality criteria
KW - Topology optimization
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U2 - 10.1016/j.mechrescom.2019.103469
DO - 10.1016/j.mechrescom.2019.103469
M3 - Article
AN - SCOPUS:85076687461
SN - 0093-6413
VL - 103
JO - Mechanics Research Communications
JF - Mechanics Research Communications
M1 - 103469
ER -