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http://dx.doi.org/10.4134/JKMS.2015.52.5.891

POSTPROCESSING FOR GUARANTEED ERROR BOUND BASED ON EQUILIBRATED FLUXES  

KIM, KWANG-YEON (Department of Mathematics Kangwon National University)
Publication Information
Journal of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 891-906 More about this Journal
Abstract
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;
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