Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods
type: Item
instance of: scholarly article
title: Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods
zbMATH Open document ID: 1317.65230
author: Pengzhan Huang
published in: Calcolo
publication date: 2015-03-23T00:00:00Z
review text: Two stabilized finite element methods for the Stokes eigenvalue problem based on the lowest equal-order finite element pair are given. The paper is organized as follows. Section 1 is an introduction. In Section 2, the studied Stokes eigenvalue problem and notations are introduced. The stabilized mixed finite element methods are given in Section 3. Section 4 is devoted to analyzing the lower bound by the stabilized nonconforming finite element and the upper bound of the eigenvalue by the stabilized conforming finite element method. Several numerical experiments are presented in Section 5. Finally, concluding remarks are given in Section 6.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6418687
zbMATH Keywords: Stokes eigenvalue problem
zbMATH Keywords: stabilized methods
zbMATH Keywords: lower and upper bounds
zbMATH Keywords: lowest equal-order pair
zbMATH Keywords: local Gauss integration
zbMATH Keywords: stabilization
zbMATH Keywords: numerical experiment
reviewed by: Temur Jangveladze
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s10092-014-0110-3
OpenAlex ID: W1979611159
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DOI: 10.1007/S10092-014-0110-3
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description: scientific article; zbMATH DE number 6418687