Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods

被引：9

作者：

Huang, Pengzhan ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

CALCOLO | 2015年 / 52卷 / 01期

基金：

中国博士后科学基金;

关键词：

Stokes eigenvalue problem; Stabilized methods; Lower and upper bounds; Lowest equal-order pair; Local Gauss integration; APPROXIMATION; EQUATIONS; EXTRAPOLATION; FLOWS;

D O I：

10.1007/s10092-014-0110-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two stabilized finite element methods for the Stokes eigenvalue problem based on the lowest equal-order finite element pair are given. They are stabilized conforming element and nonconforming element with local Gauss integration. By using the stabilized nonconforming finite element method, the lower bound of the Stokes eigenvalue is obtained; by using the stabilized conforming finite element method, the upper bound of the Stokes eigenvalue is given. Moreover, numerical tests confirm the theoretical results of the presented methods.

引用

页码：109 / 121

页数：13

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