# 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

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topHuerta, 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 -

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