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

J. R. Fernández & P. Hild

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 = {Fernández , J. R. and Hild , P.}, title = {A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity}, 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} }
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 -

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.

J. R. Fernández & P. Hild. (1970). A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity. International Journal of Numerical Analysis and Modeling. 6 (4). 603-614. doi:
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