A simple error estimator for extended finite elements

Bordas, S., Duflot, M. and Le, P. (2007) A simple error estimator for extended finite elements. Communications in Numerical Methods in Engineering, 24(11), pp. 961-971. (doi: 10.1002/cnm.1001)

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Publisher's URL: http://dx.doi.org/10.1002/cnm.1001


This short communication presents the idea of an a posteriori error estimate for enriched (extended) finite elements (XFEM). The enhanced strain field against which the XFEM strains are compared, is Computed through extended moving least-squares smoothing constructed using the diffraction method to preserve the discontinuity. The error estimator is the L-2 norm of the difference of the XFEM strain with the enhanced strain. We prove the concept of the proposed method on a 1D example with a singular solution and a 2D fracture mechanics example and conclude with some future work based on our paradigm.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Bordas, Dr Stephane
Authors: Bordas, S., Duflot, M., and Le, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Communications in Numerical Methods in Engineering

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