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Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates

Author
Diez, P.; Pares, N.; Huerta, A.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2003-03
Volume
56
Number
10
First page
1465
Last page
1488
DOI
https://doi.org/10.1002/nme.620 Open in new window
Repository
http://hdl.handle.net/2117/8527 Open in new window
Abstract
Classical residual type error estimators approximate the error flux around the elements and yield upper bounds of the exact (or reference) error. Lower bounds of the error are also needed in goal oriented adaptivity and for bounds on functional outputs. This work introduces a simple and cheap strategy to recover a lower bound estimate from standard upper bound estimates. This lower bound may also be used to assess the effectivity of the former estimate and to improve it.
Citation
Díez, P.; Pares, N.; Huerta, A. Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates. "International journal for numerical methods in engineering (Recurs electrònic)", Març 2003, vol. 56, núm. 10, The definitive version is available at http://www3.interscience.wiley.com/journal/102522978/abstract, p. 1465-1488.
Keywords
implicit residual type error estimator, quality assessment, upper and lower bounds
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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