Year: 2009
Author: J. R. Fernández, P. Hild
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 4 : pp. 603–614
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-786
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 4 : pp. 603–614
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Elasto-viscoplasticity fully discrete approximations a posteriori error estimates finite elements.