Computationally efficient multi-time-step method for partitioned time integration of highly nonlinear structural dynamics

Arun Prakash, Ertugrul Taciroglu, Keith Hjelmstad

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

An efficient and accurate method for solving large-scale problems in non-linear structural dynamics is presented. The method uses dual-Schur domain decomposition to divide a large finite element mesh into a number of smaller subdomains, which are solved independently using a suitable mesh-size and time-step to capture the local spatial and temporal scales of the problem. Continuity of the solution between subdomains is enforced by Lagrange multipliers. It is shown that the proposed method is stable, accurate and computationally more efficient than using a uniform time-step for the entire mesh. Numerical examples are presented to illustrate and corroborate these properties.

Original languageEnglish (US)
Pages (from-to)51-63
Number of pages13
JournalComputers and Structures
Volume133
DOIs
StatePublished - Mar 1 2014

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Keywords

  • Asynchronous integrators
  • Domain decomposition
  • Multi-scale
  • Multi-time-step
  • Structural dynamics
  • Time integration

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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