Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method

S. Prudhomme*, H. Ben Dhia, P. T. Bauman, N. Elkhodja, J. T. Oden

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


We propose in this paper a 1D model problem to study the convergence of surrogate approximations, using an atomistic-to-continuum coupling method, towards the solution of a full particle model. The 1D problem consists of a collection of springs that exhibits a local defect, materialized by a sudden change in the spring properties. The surrogate model is obtained by the Arlequin approach which introduces an overlap region in which the continuum and particle models are coupled together using Lagrange multipliers. The objective of the present work is to show, via numerical experiments, that the modeling error does indeed converge to zero as the distance of the overlap region from the defect and/or its size are increased.

Original languageEnglish (US)
Pages (from-to)3399-3409
Number of pages11
JournalComputer Methods in Applied Mechanics and Engineering
Issue number41-42
StatePublished - Jul 1 2008
Externally publishedYes

Bibliographical note

Funding Information:
S. Prudhomme would like to thank Denis Aubry for the kind invitation to visit Ecole Centrale de Paris, France, during the Springs of 2006 and 2007, where this work was initiated. P.T. Bauman acknowledges the support of the DOE Computational Science Graduate Fellowship. Support of this work by DOE under contract DE-FG02-05ER25701 is gratefully acknowledged.


  • Atomistic-to-continuum coupling method
  • Error analysis
  • Homogenization
  • Modeling error in quantities of interest

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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