Lower and upper bounds for stokes eigenvalues

被引：0
|
作者：
Yue, Yifan [1 ,2 ]
Chen, Hongtao [1 ,2 ]
Zhang, Shuo [3 ,4 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xiamen Univ, Fujian Prov Key Lab Math Modeling & Highperformanc, Xiamen 361005, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
CALCOLO | 2024年 / 61卷 / 03期
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Stokes eigenvalues; Finite element method; Lower bound; Upper bound; APPROXIMATION;
D O I：
10.1007/s10092-024-00598-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the lower and upper bounds for Stokes eigenvalues by finite element schemes. For the schemes studied here, roughly speaking, the loss of the local approximation property of the discrete velocity and pressure spaces may lead to different computed bounds of the eigenvalues. Formally theoretical analysis is constructed based on certain mathematical hypotheses, and numerical experiments are given to illustrate the validity of the theory.
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页数：15
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