Application of a model order reduction method based on the Krylov subspace to finite element transient analysis imposing several kinds of boundary condition

N. M. Amin, M. Asai, Y. Sonoda

Research output: Contribution to journalConference article

Abstract

Model order reduction (MOR) via Krylov subspace (KS-MOR) is one of projection-based reduction method for spatially discretized time differential equation. This paper presents a treatment of KS-MOR incorporating with finite element method for structure dynamics. KS-MOR needs basis vectors for the projection into Krylov subspace. In this context, Arnoldi and/or Lanczos method are typical techniques to generate basis vectors, and these techniques requires the information of right hand side (RHS) vector, which is the loading pattern vector in structure dynamics. In this study, we propose a treatment of Dirichlet boundary problem by generating an equivalent blocked system equation including three RHS vectors. In order to solve the multiple RHS vector problem, Block Second Order Arnoldi (BSOAR) is utilized in this paper. After projection, time integration of the projected small system equations was performed by the conventional Newmark-β method. In order to show the performance of KS-MOR, several numerical simulations are conducted. The numerical results show less than 1% of the original degrees of freedoms (DOFs) are necessary to get the accurate results for all of our numerical examples, and the CPU time is less than 2% of the conventional FE calculation.

Original languageEnglish
Article number012118
JournalIOP Conference Series: Materials Science and Engineering
Volume10
Issue number1
DOIs
Publication statusPublished - Jan 1 2014
Event9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010 - Sydney, Australia
Duration: Jul 19 2010Jul 23 2010

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All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)

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