A Superconvergence Analysis for Finite Element Solution by the Interpolant Postprocessing on Irregular Meshes for Smooth Problem

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Abstract

The post-processing procedure is given by an interpolant postprocessing of the finite element solution by appropriately-defined finite dimensional subspaces. The corresponding superconvergence is established on general quasi-regular finite element partitions.  

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Finite element Superconvergence interpolant postprocessing.
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A Superconvergence Analysis for Finite Element Solution by the Interpolant Postprocessing on Irregular Meshes for Smooth Problem. (2001). Journal of Computational Mathematics, 19(3), 323-326. https://gsp.tricubic.dev/JCM/article/view/11434