A stabilized finite volume method for Stokes equations using the lowest order P1 − P0 element pair

被引：0
作者：
Tie Zhang
Lixin Tang
机构：
[1] Northeastern University,Department of Mathematics and the State Key Laboratory of SAPI, Research Center of National Metallurgical Automation
[2] Northeastern University,The State Key Laboratory of Synthetical Automation for Process Industries, Research Center of National Metallurgical Automation
来源：
Advances in Computational Mathematics | 2015年 / 41卷
关键词：
Finite volume element; Stokes problem; Stabilized method; − ; element pair; 65N30; 65M60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present a new stabilized finite volume method for Stokes problem using the lowest order P1 − P0 element pair. To offset the lack of the inf -sup condition, a simple jump term of discrete pressure is added to the continuity approximation equation. A discrete inf -sup condition is established for this stabilized scheme. The optimal error estimates are given in the H1- and L2-norms for velocity and in the L2-norm for pressure, respectively.
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页码：781 / 798
页数：17
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