Finite element analysis of multi-material models using a balancing domain decomposition method combined with the diagonal scaling preconditioner

• OGINO Masao

  Information Technology Center, Nagoya University

Bibliographic Information

Other Title

• 対角スケーリング前処理を伴ったバランシング領域分割法による複数材料モデルの有限要素解析

Abstract

Actual problems in science and industrial applications are modeled by multi-materials and large-scale unstructured mesh, and the finite element analysis has been widely used to solve such problems on the parallel computer. However, for large-scale problems, the iterative methods for linear finite element equations suffer from slow or no convergence. Therefore, numerical methods having both robust convergence and scalable parallel efficiency are in great demand. The domain decomposition method is well known as an iterative substructuring method, and is an efficient approach for parallel finite element methods. Moreover, the balancing preconditioner achieves robust convergence. However, in case of problems consisting of very different materials, the convergence becomes bad. There are some research to solve this issue, however not suitable for cases of complex shape and composite materials. In this study, to improve convergence of the balancing preconditioner for multi-materials, a balancing preconditioner combined with the diagonal scaling preconditioner, called Scaled-BDD method, is proposed. Some numerical results are included which indicate that the proposed method has robust convergence for the number of subdomains and shows high performances compared with the original balancing preconditioner.

Journal

• Transactions of the JSME (in Japanese)

  Transactions of the JSME (in Japanese) 82 (833), 15-00325-15-00325, 2016

  The Japan Society of Mechanical Engineers

Keywords

• Finite element method
• Structural analysis
• Domain decomposition mehod
• Balancing domain decomposition method
• Iterative methods
• High performance computing

Details

• CRID: 1390001205514838144
• NII Article ID: 130005121246
• DOI: 10.1299/transjsme.15-00325
• ISSN: 21879761
• Web Site: https://www.jstage.jst.go.jp/article/transjsme/82/833/82_15-00325/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed