An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments
Year: 2011
Author: J. R. Fernández
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 373–390
Abstract
In this paper, we reconsider a contact problem between an elasto-viscoplastic body and a deformable obstacle. The contact is modeled by the classical normal compliance contact condition. Then, fully discrete approximations are obtained by using the finite element method to approximate the spatial variable and the forward Euler scheme to discretize time derivatives. An a posteriori error analysis is provided and upper and lower error bounds are obtained. Finally, some two-dimensional numerical simulations are presented to demonstrate the accuracy and the behavior of the error estimators.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-691
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 373–390
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Elasto-viscoplasticity normal compliance contact fully discrete approximations a posteriori error estimates finite elements numerical simulations.