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SUPERCONVERGENCE OF THE DERIVATIVE PATCH RECOVERY TECHNIQUE AND A POSTERIORI ERROR ESTIMATION
Abstract

ZHIMIN ZHANG and J.Z. ZHU

The derivative patch recovery technique developed by Zienkiewicz and Zhu for the finite element method is analyzed. It is shown that, for one dimensional problems and two dimensional problems using tensor product elements, the patch recovery technique yields superconvergence recovery for the derivatives. Consequently, the error estimator based on the recovered derivative is asymptotically exact.

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