TY - JOUR
T1 - A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity
AU - Fernández , J. R.
AU - Hild , P.
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 603
EP - 614
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/786.html
KW - Elasto-viscoplasticity, fully discrete approximations, a posteriori error estimates, finite elements.
AB - <p style="text-align: justify;">The numerical approximation of an elasto-viscoplastic problem is considered in this paper. 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. We first recall an a priori estimate result from which the linear convergence of the algorithm is derived under suitable regularity conditions. Then, an a posteriori error analysis is provided. Upper and lower error bounds are obtained.</p>