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Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements

✍ Scribed by Ainsworth, Mark; Rankin, Richard


Book ID
118184663
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
412 KB
Volume
46
Category
Article
ISSN
0036-1429

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Guaranteed computable bounds for the exa
✍ T. Strouboulis; I. BabuΕ‘ka; S. K. Gangaraj πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 551 KB

This paper addresses the computation of guaranteed upper and lower bounds for the energy norm of the exact error in the ΓΏnite element solution. These bounds are constructed in terms of the solutions of local residual problems with equilibrated residual loads and are rather sharp, even for coarse mes