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A Finite Volume Method Based on the Constrained Nonconforming Rotated Q1-Constant Element for the Stokes Problem

Published online by Cambridge University Press:  03 June 2015

Jing Qi ,
Wanfu Tian  and
Yonghai Li
Jing Qi*
Affiliation:
Jilin University, Changchun 130012, China
Wanfu Tian*
Affiliation:
School of Science, Shenyang Aerospace University, Shenyang 110136, China
Yonghai Li*
Affiliation:
School of Mathematics, Jilin University, Changchun 130012, China
*
Email: qijing08@mails.jlu.edu.cn
Email: yonghai@jlu.edu.cn
Corresponding author. Email: tianwf@163.com
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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.

Keywords

65N0865N1565N3076D05Stokes problemfinite volume methodconstrained nonconforming rotated Q1 element
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 1 , February 2012 , pp. 46 - 71
Copyright
Copyright © Global-Science Press 2012

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