A simple error estimator for extended finite elements

Stéphane Bordas, Marc Duflot, Phong Le

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)

Abstract

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 L2 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.

Original languageEnglish
Pages (from-to)961-971
Number of pages11
JournalCommunications in Numerical Methods in Engineering
Volume24
Issue number11
DOIs
Publication statusPublished - Nov 2008
Externally publishedYes

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