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References (8)
-
E. Hinton, John Campbell (1974)
Local and global smoothing of discontinuous finite element functions using a least squares methodInternational Journal for Numerical Methods in Engineering, 8
-
10.2307/2006479
-
J. Zhu, O. Zienkiewicz (1990)
Superconvergence recovery technique and a posteriori error estimatorsInternational Journal for Numerical Methods in Engineering, 30
-
M. Křížek, P. Neittaanmäki (1987)
On superconvergence techniquesActa Applicandae Mathematica, 9
-
J. Barlow (1976)
Optimal stress locations in finite element modelsInternational Journal for Numerical Methods in Engineering, 10
-
P. Silvester, D. Omeragic (1993)
A TWO‐DIMENSIONAL ZHU—ZIENKIEWICZ METHOD FOR GRADIENT RECOVERY FROM FINITE‐ELEMENT SOLUTIONSCompel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 12
-
R. MacKinnon, G. Carey (1989)
Superconvergent derivatives: A Taylor series analysisInternational Journal for Numerical Methods in Engineering, 28
-
M. Zlámal (1978)
Superconvergence and reduced integration in the finite element methodMathematics of Computation, 32
- Publisher
- Emerald Publishing
- Copyright
- Copyright © Emerald Group Publishing Limited
- ISSN
- 0332-1649
- DOI
- 10.1108/eb010134
- Publisher site
- See Article on Publisher Site
Abstract
The gradient recovery method proposed by Zhu and Zienkiewicz for onedimensional problems and extended to two dimensions by Silvester and Omeragi is generalized to threedimensional solutions based on rectangular prism brick elements. The extension is not obvious so its details are presented, and the method compared with conventional local smoothing and direct differentiation. Illustrative examples are given, with an extensive experimental study of error. The method is computationally cheap and provides better accuracy than conventional local smoothing, but its accuracy is position dependent.
Journal
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Mar 1, 1994