Geodesic
Error estimation and adaptivity for nonlinear FE analysis
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 1, pp. 59-70.

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An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no flux splitting is required. The adaptive strategy is illustrated by means of a complex nonlinear problem: the failure analysis of a single-edge notched beam. The quasi-brittle response of concrete is modelled by means of a nonlocal damage model.
Keywords: finite elements, error estimation, adaptivity, nonlinearity, quality of FE solutions, damage models
Mots-clés : element skończony 
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     title = {Error estimation and adaptivity for nonlinear {FE} analysis},
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Huerta, A.; Rodriguez-Ferran, A.; Diez, P. Error estimation and adaptivity for nonlinear FE analysis. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 1, pp. 59-70. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_1_a5/