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A posteriori error estimators for the first-order least-squares finite element method

✍ Scribed by JaEun Ku; Eun-Jae Park

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
328 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

a b s t r a c t

In this paper, we propose a posteriori error estimators for certain quantities of interest for a first-order least-squares finite element method. In particular, we propose an a posteriori error estimator for when one is interested in Οƒ -Οƒ h 0 where Οƒ = -Aβˆ‡u. Our a posteriori error estimators are obtained by assigning proper weight (in terms of local mesh size h T ) to the terms of the least-squares functional. An a posteriori error analysis yields reliable and efficient estimates based on residuals. Numerical examples are presented to show the effectivity of our error estimators.

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