Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs

被引：0
作者：
Jian Li
Yinnian He
Zhangxin Chen
机构：
[1] Baoji University of Arts and Sciences,Department of Mathematics
[2] Xi’an Jiaotong University,Faculty of Science
[3] University of Calgary,Department of Chemical and Petroleum Engineering, Schulich School of Engineering
来源：
Computing | 2009年 / 86卷
关键词：
Stokes equations; Condition; Stabilized methods; Conforming finite element; Nonconforming finite element; Mixed methods; Numerical results; 45E99; 45K05; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the performance of various stabilized mixed finite element methods based on the lowest equal-order polynomial pairs (i.e., P1 − P1 or Q1 − Q1) are numerically investigated for the stationary Stokes equations: penalty, regular, multiscale enrichment, and local Gauss integration methods. Comparisons between them will be carried out in terms of the critical factors: stabilization parameters, convergence rates, consistence, and mesh effects. It is numerically drawn that the local Gauss integration method is a favorite method among these methods.
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页码：37 / 51
页数：14
相关论文
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