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 ∈S01, Δ is the finite‐element solution of the given problem and Y ∈ S02, Δ is the high order solution of the same problem. The second order accuracy is proved for this error estimator in the L2, H1 and L8 norms. Results of numerical experiments are presented.
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
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