A STABILIZED FINITE ELEMENT METHOD FOR THE STOKES EIGENVALUE PROBLEM

被引：0

作者：

Yuan, Maoqin ^{[1
,2
]}

Huang, Pengzhan ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China

[2] China Univ Petr Karamay, Sch Sci & Arts, Karamay 834000, Peoples R China

来源：

MATHEMATICAL REPORTS | 2024年 / 26卷 / 01期

关键词：

Stokes eigenvalue problem; stabilized finite element method; error estimates; lowest equal-order pair; APPROXIMATION;

D O I：

10.59277/mrar.2024.26.76.1.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A stabilized finite element method is considered for the Stokes eigenvalue problem based on the lowest equal-order element pair, which does not need to choose stabilization parameter. Stabilization terms of the stabilized finite element method include not only the term related to the momentum equation but also the continuity equation. Furthermore, combined the approximation of compact operator with the analysis of Stokes source problem, error estimates of the present method are deduced. Finally, numerical tests are made to confirm effectively.

引用

页码：1 / 16

页数：16

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