Year: 2006
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 5 : pp. 561–578
Abstract
This paper is devoted to the five parameters nonconforming finite element schemes with moving grids for velocity-pressure mixed formulations of the nonstationary Stokes problem in 2-D. We show that this element has anisotropic behavior and derive anisotropic error estimations in some certain norms of the velocity and the pressure based on some novel techniques. Especially through careful analysis we get an interesting result on consistency error estimation, which has never been seen for mixed finite element methods in the previous literatures.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JCM-8775
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 5 : pp. 561–578
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Stokes problem Nonconforming finite element Anisotropy Moving grids Error estimate.