Year: 2004
Author: Qiding Zhu, Lingxiong Meng
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 857–864
Abstract
This work concerns the ultraconvergence of quadratic finite element approximations of elliptic boundary value problems. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence. The keys in the proof are the asymptotic expansion of the bilinear form for the interpolation error and a "localized" symmetry argument. Numerical results are presented to confirm the analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10289
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 857–864
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Ultra-closeness Superconvergence patch recovery (SPR) Ultraconvergence.