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Accurate upper and lower error bounds by solving flux-free local problems in "stars"

Author
Diez, P.; Pares, N.; Huerta, A.
Type of activity
Journal article
Journal
Revue européenne de mécanique numérique = European journal of computational mechanics
Date of publication
2004-12
Volume
13
Number
5- 6- 7
First page
497
Last page
507
DOI
https://doi.org/10.3166/reef.13.497-507 Open in new window
Repository
http://hdl.handle.net/2117/8040 Open in new window
URL
http://ejcm.revuesonline.com/article.jsp?articleId=5307 Open in new window
Abstract
Two implicit residual type estimators yielding upper bounds of the error are presented which do not require flux equilibration. One of them is based on the ideas introduced in [MAC 00, CAR 99, MOR 03, PRU 02]. The new approach introduced here is based on using the estimated error function rather than the estimated error norms. Once the upper bounds are computed, also lower bounds for the error are obtained with little supplementary effort.
Citation
Díez, P.; Pares, N.; Huerta, A. Accurate upper and lower error bounds by solving flux-free local problems in "stars". "Revue européenne des élements finis", Desembre 2004, vol. 13, núm. 5-6-7, p. 497-507.
Keywords
adaptivity, error estimation, flux-free estimates, upper and lower bounds of the error
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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