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Volume 24, Issue 5
A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem

Dong-yang Shi & Yi-ran Zhang

J. Comp. Math., 24 (2006), pp. 561-578.

Published online: 2006-10

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  • 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.

  • Keywords

Stokes problem, Nonconforming finite element, Anisotropy, Moving grids, Error estimate.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-561, author = {Dong-yang Shi and Yi-ran Zhang}, title = {A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8775.html} }
TY - JOUR T1 - A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem AU - Dong-yang Shi & Yi-ran Zhang JO - Journal of Computational Mathematics VL - 5 SP - 561 EP - 578 PY - 2006 DA - 2006/10 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8775.html KW - Stokes problem, Nonconforming finite element, Anisotropy, Moving grids, Error estimate. AB -

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.

Dong-yang Shi and Yi-ran Zhang. (2006). A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem. Journal of Computational Mathematics. 24 (5). 561-578. doi:
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