Year: 2001
Author: Ping-Bing Ming, Zhong-Ci Shi
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 67–76
Abstract
Based upon a new mixed variational formulation for the three-field Stokes equations and linearized Non-Newtonian flow, an $h-p$ finite element method is presented with or without a stabilization. As to the variational formulation without stabilization, optimal error bounds in $h$ as well as in $p$ are obtained. As with stabilization, optimal error bounds are obtained which is optimal in $h$ and one order deterioration in $p$ for the pressure, that is consistent with numerical results in [9,12] and therefore solved the problem therein. Moreover, we proposed a stabilized formulation which is optimal in both $h$ and $p$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8958
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 67–76
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Mixed hp-finite element method Non-Newtonian flow Stabilisation Scaled weak B-B inequality.