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

被引：33

作者：

Li, Jian ^{[1
,2
,3
]}

He, Yinnian ^{[2
]}

Chen, Zhangxin ^{[2
,3
]}

机构：

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

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

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

来源：

COMPUTING | 2009年 / 86卷 / 01期

基金：

美国国家科学基金会;

关键词：

Stokes equations; inf-sup Condition; Stabilized methods; Conforming finite element; Nonconforming finite element; Mixed methods; Numerical results; COMPUTATIONAL FLUID-DYNAMICS; FORMULATION; FLOW;

D O I：

10.1007/s00607-009-0064-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper the performance of various stabilized mixed finite element methods based on the lowest equal-order polynomial pairs (i.e., P (1) - P (1) or Q (1) - Q (1)) 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.

引用

页码：37 / 51

页数：15

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