A Finite Volume Method Based on the Constrained Nonconforming Rotated Q<sub>1</sub>-Constant Element for the Stokes Problem
Year: 2012
Author: Jing Qi, Wanfu Tian, Yonghai Li
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 46–71
Abstract
We construct a finite volume element method based on the constrained nonconforming rotated Q1-constant element (CNRQ1-P0) for the Stokes problem. Two meshes are needed, which are the primal mesh and the dual mesh. We approximate the velocity by CNRQ1 elements and the pressure by piecewise constants. The errors for the velocity in the H1 norm and for the pressure in the L2 norm are O(h) and the error for the velocity in the L2 norm is O(h2). Numerical experiments are presented to support our theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.11-m1156
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 1 : pp. 46–71
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Stokes problem finite volume method constrained nonconforming rotated Q1 element.
Author Details
Jing Qi Email
Wanfu Tian Email
Yonghai Li Email