TY - JOUR
T1 - An Elasto-Viscoplastic Contact Problem: An a Posteriori Error Analysis and Computational Experiments
AU - Fernández , J. R.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 373
EP - 390
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/691.html
KW - Elasto-viscoplasticity, normal compliance contact, fully discrete approximations, a posteriori error estimates, finite elements, numerical simulations.
AB - <p style="text-align: justify;">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.</p>