A new stabilized finite volume method for the stationary Stokes equations

被引：0
|
作者：
Jian Li
Zhangxin Chen
机构：
[1] Baoji University of Arts and Sciences,Department of Mathematics
[2] University of Calgary,Department of Chemical and Petroleum Engineering, Schulich School of Engineering
[3] Xi’an Jiaotong University,Faculty of Science
来源：
Advances in Computational Mathematics | 2009年 / 30卷
关键词：
Stokes equations; Finite element method; Finite volume method; condition; Error estimate; 35Q10; 65N30; 76D05;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we develop and study a new stabilized finite volume method for the two-dimensional Stokes equations. This method is based on a local Gauss integration technique and the conforming elements of the lowest-equal order pair (i.e., the P1–P1 pair). After a relationship between this method and a stabilized finite element method is established, an error estimate of optimal order in the H1-norm for velocity and an estimate in the L2-norm for pressure are obtained. An optimal error estimate in the L2-norm for the velocity is derived under an additional assumption on the body force.
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页码：141 / 152
页数：11
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