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A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates

Author
Pares, N.; Diez, P.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2017-01-01
Volume
313
First page
785
Last page
816
DOI
https://doi.org/10.1016/j.cma.2016.10.010 Open in new window
Repository
http://hdl.handle.net/2117/99967 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S004578251630250X Open in new window
Abstract
This paper presents a new methodology to compute guaranteed upper bounds for the energy norm of the error in the context of linear finite element approximations of the reaction–diffusion equation. The new approach revisits the ideas in Parés et al. (2009) [6, 4], with the goal of substantially reducing the computational cost of the flux-free method while retaining the good quality of the bounds. The new methodology provides also a technique to compute equilibrated boundary tractions improving...
Citation
Pares, N., Diez, P. A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates. "Computer methods in applied mechanics and engineering", 1 Gener 2017, vol. 313, p. 785-816.
Keywords
Adaptivity, Equilibrated boundary tractions, Exact/guaranteed/strict bounds, Flux-free, Fully computable a posteriori error estimation, Reaction–diffusion equation
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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