A High Accurate Topology Optimization Method by Using the Gradient Type Method and the Lattice-Free Finite Difference Method

• Watanabe Akira

  Graduate School of Information Science and Technology, Aichi Prefectural University

• Shirota Kenji

  Department of Information Science and Technology, Aichi Prefectural University

Bibliographic Information

Other Title

• 勾配法と任意多点差分法を用いた高精度位相最適化手法の開発

Abstract

Abstract. In this paper, we consider a high accurate method for SIMP (Solid Isotropic Material with Penalization) type topology optimization problem. We adopt the gradient type method to solve our problem. In order to get high accurate solution of the partial difference equation in our algorithm, we use the lattice-free finite difference method which is a kind of the differential quadrature method. The library “exflib” for the scientific multiple-precision arithmetic is used in our calculation. By the numerical experiments, we check the effectiveness, stability, and convergency of our algorithm with the steepest descent and H¹ gradient method.

Journal

• Transactions of the Japan Society for Industrial and Applied Mathematics

  Transactions of the Japan Society for Industrial and Applied Mathematics 26 (1), 1-20, 2016

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390282680745724544
• NII Article ID: 110010042553
• NII Book ID: AN10367166
• DOI: 10.11540/jsiamt.26.1_1
• ISSN: 24240982
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed