Year: 2004
Author: Tie Zhang, Yanping Lin, R. J. Tait
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 113–122
Abstract
A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case. It is shown that the convergence rate of the recovered gradient admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultraconvergence) at an internal node point when even order finite element spaces and local uniform meshes are used.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10339
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 113–122
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Finite element Derivative recovery Ultraconvergence.