IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i11p1790-d1665786.html
   My bibliography  Save this article

A Two-Step Sequential Hyper-Reduction Method for Efficient Concurrent Nonlinear FE 2 Analyses

Author

Listed:
  • Yujin So

    (Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea)

  • Jaehun Lee

    (Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea)

Abstract

In this paper, we propose a two-step sequential hyper-reduction method to significantly enhance computational efficiency for both macro- and micro-level analyses in concurrent nonlinear FE 2 multiscale simulations. In general, one of the major computational burdens of nonlinear FE 2 problems is the repetitive micro-level analysis, which must be performed at all integration points of the macroscopic structure. We propose adopting the discrete empirical interpolation method (DEIM) for both macroscopic and microscopic problems, achieving a significant reduction in the number of integration points in both models. The proposed two-step sequential framework aligns with reduced-order modeling, enabling an efficient multiscale procedure for concurrent nonlinear FE 2 analysis in the online stage. We verified the accuracy and efficiency of FE 2 analysis using the proposed method through a simple example.

Suggested Citation

  • Yujin So & Jaehun Lee, 2025. "A Two-Step Sequential Hyper-Reduction Method for Efficient Concurrent Nonlinear FE 2 Analyses," Mathematics, MDPI, vol. 13(11), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1790-:d:1665786
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/11/1790/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/11/1790/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1790-:d:1665786. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.