Improvement of topology optimization method based on level set function in magnetic field problem

Yoshifumi Okamoto, Hiroshi Masuda, Yutaro Kanda, Reona Hoshino, Shinji Wakao

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Purpose: The purpose of this paper is the improvement of topology optimization. The scope of the paper is focused on the speedup of optimization. Design/methodology/approach: To achieve the speedup, the method of moving asymptotes (MMA) with constrained condition of level set function is applied instead of solving the Hamilton–Jacobi equation. Findings: The acceleration of convergence of objective function is drastically improved by the implementation of MMA. Originality/value: Normally, the level set method is solved through the Hamilton–Jacobi equation. However, the possibility of introducing mathematical programming is clear by the constrained condition. Furthermore, the proposed method is suitable for efficiently solving the topology optimization problem in the magnetic field system.

Original languageEnglish
Pages (from-to)630-644
Number of pages15
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume37
Issue number2
DOIs
Publication statusPublished - 2018 Mar 5

Keywords

  • Adjoint variable method
  • Finite element analysis
  • Finite element method
  • Level set function
  • Material-density
  • Method of moving asymptotes
  • Numerical methods
  • Optimization techniques
  • Topology optimization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics

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