Goal-oriented adaptivity for shell structures: Error assessment and remeshig criteria

Author (s): Díez, P., Morata, I. and Huerta A.
Journal: European Journal of Finite Elements (Revue Européenne des éléments finis)

Volume: 12, Issue 6
Pages: 691 – 715
Date: 2003

Abstract:
The reliable computation of shell structures requires a tool to assess and control the quality of the finite element solution. For practical purposes, the quality of the numerical solution must be measured using a quantity of engineering interest rather than in the standard energy norm. However, the assessment of the error in an output of interest is based on a standard energy norm error estimator. The standard error estimator has to be applied to both the original problem (primal) and a dual problem related with the selected engineering quantity. In shells with assumed-strain models, the combination of primal and dual error estimation is performed differently than in the continuum mechanics case. Moreover, a part from the goal-oriented error estimator, the adaptive process requires a remeshing criterion. This work introduces an specific
remeshing criterion for goal-oriented adaptivity and its particularization to the context of shell elements.

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Bibtex:

@article{doi:10.3166/reef.12.691-715,
author = {Díez, P., Morata, I. and Huerta, A.},
title = {Goal-oriented adaptivity for shell structures Error assessment and remeshing criteria},
journal = {Revue Européenne des Éléments},
volume = {12},
number = {6},
pages = {691-715},
year = {2003},
doi = {10.3166/reef.12.691-715},
URL = {http://www.tandfonline.com/doi/abs/10.3166/reef.12.691-715},
eprint = {http://www.tandfonline.com/doi/pdf/10.3166/reef.12.691-715    
}
}