Error estimation and adaptivity for nonlinear FE analysis

Antonio Huerta; Antonio Rodríguez-Ferran; Pedro Díez

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 1, page 59-70
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Huerta, Antonio, Rodríguez-Ferran, Antonio, and Díez, Pedro. "Error estimation and adaptivity for nonlinear FE analysis." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 59-70. <http://eudml.org/doc/207569>.

@article{Huerta2002,
abstract = {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.},
author = {Huerta, Antonio, Rodríguez-Ferran, Antonio, Díez, Pedro},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {damage models; adaptivity; nonlinearity; quality of FE solutions; error estimation; finite elements; single-edge notched beam; nonlocal damage model},
language = {eng},
number = {1},
pages = {59-70},
title = {Error estimation and adaptivity for nonlinear FE analysis},
url = {http://eudml.org/doc/207569},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Huerta, Antonio
AU - Rodríguez-Ferran, Antonio
AU - Díez, Pedro
TI - Error estimation and adaptivity for nonlinear FE analysis
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 1
SP - 59
EP - 70
AB - 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.
LA - eng
KW - damage models; adaptivity; nonlinearity; quality of FE solutions; error estimation; finite elements; single-edge notched beam; nonlocal damage model
UR - http://eudml.org/doc/207569
ER -

References

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