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On the aposteriori error estimates for finite‐element solutions

    Raimondas Čiegis Affiliation

Abstract

The analysis of the accuracy of the aposteriori error estimation procedure for finite‐element solutions is presented. The function Y – y is used as an aposteriori error estimator, here y ∈ S 01, Δ is the finite‐element solution of the given problem and Y ∈ S 0 2, Δ is the high order solution of the same problem. The second order accuracy is proved for this error estimator in the L 2H 1 and L8 norms. Results of numerical experiments are presented.


First Published Online: 14 Oct 2010

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How to Cite
Čiegis, R. (1998). On the aposteriori error estimates for finite‐element solutions. Mathematical Modelling and Analysis, 3(1), 33-44. https://doi.org/10.3846/13926292.1998.9637084
Published in Issue
Dec 15, 1998
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