Year: 2002
Author: Tie Zhang, Yan-Ping Lin, R. J. Tait
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 277–288
Abstract
Some superapproximation and ultra-approximation properties in function, gradient and two-order derivative approximations are shown for the interpolation operator of projection type on two-dimensional domain. Then, we consider the Ritz projection and Ritz-Volterra projection on finite element spaces, and by means of the superapproximation elementary estimates and Green function methods, derive the superconvergence and ultraconvergence error estimates for both projections, which are also the finite element approximation solutions of the elliptic problems and the Sobolev equations, respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8917
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 3 : pp. 277–288
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Interpolation operator of projection type Finite element Superconvergence.