ANALYSIS OF A STABILIZED FINITE VOLUME METHOD FOR THE TRANSIENT STOKES EQUATIONS

被引：0

作者：

Shen, Lihua ^{[1
]}

Li, Jian ^{[2
,3
]}

Chen, Zhangxin ^{[2
,4
]}

机构：

[1] Capital Normal Univ, Inst Math & Interdisciplinary Sci, Dept Math, Beijing 100048, Peoples R China

[2] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China

[3] Baoji Univ Arts & Sci, Dept Math, Baoji 721007, Peoples R China

[4] Univ Calgary, Dept Chem & Petr Engn, Schulich Sch Engn, Calgary, AB T2N 1N4, Canada

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2009年 / 6卷 / 03期

关键词：

Transient Stokes equations; stabilized finite volume method; inf-sup condition; local Gauss integrals; optimal error estimate; stability; ELEMENT-METHOD; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the development and study of a stabilized finite volume method for the transient Stokes problem in two and three dimensions. The stabilization is based on two local Gauss integrals and is parameter-free. The analysis is based on a relationship between this new finite volume method and a stabilized finite element method using the lowest equal-order pair (i.e., the P-1 - P-1 pair). An error estimate of optimal order in the H-1-norm for velocity and an estimate in the L-2-norm for pressure are obtained. An optimal error estimate in the L-2-norm for the velocity is derived under an additional assumption on the body force.

引用

页码：505 / 519

页数：15

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