Error estimation and adaptivity for nonlinear FE analysis
Author (s): Antonio Huerta, Antonio Rodríguez-Ferran and Pedro DíezJournal: International Journal of Applied Mathematics and Computer Sciences
Volume: 12, Issue 1
Pages: 59 - 70
Date: 2002
Abstract:
An adaptive strategy for nonlinear finite element analysis, based on the combination of error estimation and h-remeshing, is presented. The 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 elements and so-called patches. Contrary to other residual estimators, no 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.
Bibtex:
@article{2002-IJAMCS-HRD, Author = {Huerta, A., Rodr\'iguez-Ferran, A. and D\'iez, P.}, Title = {Error estimation and adaptivity for nonlinear FE analysis}, Fjournal = {International Journal of Applied Mathematics and Computer Sciences}, Volume = {12}, Number = {1}, Pages = {59—70}, Year = {2002}}