Accelerated fixed-point formulation of topology optimization: Application to compliance minimization problems

Weichen Li, Phanish Suryanarayana, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number103469
JournalMechanics Research Communications
Volume103
DOIs
StatePublished - Jan 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Anderson extrapolation
  • Compliance minimization
  • Fixed-point iteration
  • Optimality criteria
  • Topology optimization

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