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math.NADec 24, 2013
29
citations (OpenAlex)
authors
  • Christoph Ortner
  • Lei Zhang
institutions
  • Shanghai Jiao Tong University
  • University of Warwick
arXiv abstractPDF
paper

Energy-Based Atomistic-to-Continuum Coupling Without Ghost Forces

arXiv:1312.6814 · doi:10.1016/j.cma.2014.06.019

Abstract

We present a practical implementation of an energy-based atomistic-to-continuum (a/c) coupling scheme without ghost forces, and numerical tests evaluating its accuracy relative to other types of a/c coupling schemes.

20 pages, 8 figures

Cited by in corpus (9)

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  • A multi-scale approach for magnetisation dynamics: Unraveling exotic magnetic states of matter
  • A quasinonlocal coupling method for nonlocal and local diffusion models
  • Analysis of the Residual Type and the Recovery Type a Posteriori Error Estimators for a Consistent Atomistic-to-Continuum Coupling Method in 1D
  • Quasinonlocal coupling of nonlocal diffusions
  • Efficient flexible boundary conditions for long dislocations
  • An atomistic/continuum coupling method using enriched bases
  • Accuracy of computation of crystalline defects at finite temperature
  • Analysis of a Sinclair-type domain decomposition solver for atomistic/continuum coupling
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