Computational Mechanics

, Volume 21, Issue 2, pp 91–100

An error estimate in the EFG method

  • H.-J. Chung
  • T. Belytschko

DOI: 10.1007/s004660050286

Cite this article as:
Chung, HJ. & Belytschko, T. Computational Mechanics (1998) 21: 91. doi:10.1007/s004660050286


In this paper, local and global error estimates for the element-free Galerkin (EFG) method are proposed. The essence of proposed error estimates is to use the difference between the values of the projected stress and these given directly by the EFG solution. The stress projection can be obtained simply by taking product of shape function based on a different domain of influence with the stresses at nodes. In this study, it was found that the effectivity index is optimized if the domain of influence in stress projection procedure is the smallest that retains regularity of the matrices in EFG. Numerical tests are shown for various 1D and 2D examples illustrating the good effectiveness of the proposed error estimator in the global energy norm and in the local error estimates.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • H.-J. Chung
    • 1
  • T. Belytschko
    • 1
  1. 1.Department of Civil Engineering, Northwestern University, Evanston, IL 60208, USAUS

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