Volume 6, Issue 4
A Residual a Posteriori Error Estimator for Elasto-vascoplasticity

J. Fernandez & P. Hild

DOI:

Int. J. Numer. Anal. Mod., 6 (2009), pp. 603-614

Published online: 2009-06

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  • 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.

  • Keywords

Elasto-viscoplasticity fully discrete approximations a posteriori error estimates finite elements

  • AMS Subject Headings

74C10 74S05 65M60 65M15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-603, author = {J. Fernandez and P. Hild}, title = {A Residual a Posteriori Error Estimator for Elasto-vascoplasticity}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {4}, pages = {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.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/786.html} }
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