A simple error estimator for extended finite elements
Article
Article Title | A simple error estimator for extended finite elements |
---|---|
ERA Journal ID | 490 |
Article Category | Article |
Authors | Bordas, Stephane (Author), Duflot, Marc (Author) and Le, Phong (Author) |
Journal Title | Communications in Numerical Methods in Engineering |
International Journal for Numerical Methods in Biomedical Engineering | |
Journal Citation | 24 (11), pp. 961-971 |
Number of Pages | 11 |
Year | 2008 |
Place of Publication | Bognor Regis, West Sussex, United Kingdom |
ISSN | 2040-7939 |
2040-7947 | |
Digital Object Identifier (DOI) | https://doi.org/10.1002/cnm.1001 |
Web Address (URL) | http://onlinelibrary.wiley.com/doi/10.1002/cnm.1001/pdf |
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. |
Keywords | a posteriori error estimation; derivative recovery; extended finite element method; intrinsic enrichment; moving least-squares approximation; near-tip enrichment |
ANZSRC Field of Research 2020 | 490302. Numerical analysis |
490109. Theoretical and applied mechanics | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Journal name change in 2010 to : International Journal for Numerical Methods in Biomedical Engineering. Permanent restricted access to published version due to publisher copyright policy. |
Byline Affiliations | University of Glasgow, United Kingdom |
Cenaero, Belgium | |
Computational Engineering and Science Research Centre | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1322/a-simple-error-estimator-for-extended-finite-elements
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