On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

J. T. Oden*, S. Prudhomme, P. Bauman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior molecular systems) by using surrogate models obtained from continuum approximations of the lattice. The result is a technique that could provide for scale-bridging between continuum models and atomistic models, although the present development concerns only simple algebraic systems. An example is provided in which quantities of interest in system with a large number of degrees of freedom are computed to a preset tolerance in relatively few low-order approximations.

Original languageEnglish (US)
Pages (from-to)3668-3688
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume194
Issue number34-35
DOIs
StatePublished - Sep 2 2005

Keywords

  • Adaptive modeling
  • Continuum/lattice
  • Error estimates
  • Models
  • Multiscale models

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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