J. Korean Math. Soc. 2015; 52(5): 891-906
Printed September 1, 2015
https://doi.org/10.4134/JKMS.2015.52.5.891
Copyright © The Korean Mathematical Society.
Kwang-Yeon Kim
Kangwon National University
In this work we analyze a postprocessing scheme for improving the guaranteed error bound based on the equilibrated fluxes for the $P1$ conforming FEM. The improved error bound is shown to be asymptotically exact under suitable conditions on the triangulations and the regularity of the true solution. We also present some numerical results to illustrate the effect of the postprocessing scheme.
Keywords: a posteriori error estimation, equilibrated fluxes, guaranteed error bound, asymptotic exactness, superconvergence
MSC numbers: Primary 65N30, 65N15
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