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.
@article{bwmeta1.element.bwnjournal-article-amcv12i1p59bwm,
author = {Huerta, Antonio and Rodr\'\i guez-Ferran, Antonio and D\'\i ez, Pedro},
title = {Error estimation and adaptivity for nonlinear FE analysis},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {59-70},
zbl = {1044.74043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i1p59bwm}
}
Huerta, Antonio; Rodríguez-Ferran, Antonio; Díez, Pedro. Error estimation and adaptivity for nonlinear FE analysis. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 59-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i1p59bwm/
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