Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
type: Item
instance of: scholarly article
title: Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
zbMATH Open document ID: 1450.65143
author: ManTing Xie
author: Hehu Xie
author: Xuefeng Liu
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 2018-04-12T00:00:00Z
review text: The authors find explicit lower bounds for exact eigenvalues of 2D Stokes problem. Their analysis is based on a result of the third author on eigenvalue bounds for self-adjoint differential operators. They use FEM along with the usual and enriched Crouzeix-Raviart element. Additionally, they show that such a lower bound has the optimal convergence order when the mesh size decreases to zero. Two illustrative numerical examples are carried out.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 6859028
zbMATH Keywords: Stokes eigenproblem
zbMATH Keywords: eigenvalue bound
zbMATH Keywords: Crouzeix-Raviart element
zbMATH Keywords: enriched Crouzeix-Raviart element
zbMATH Keywords: explicit lower bound
zbMATH Keywords: optimal convergence
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: s13160-017-0291-7
OpenAlex ID: W2783934070
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DOI: 10.1007/S13160-017-0291-7
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description: scientific article; zbMATH DE number 6859028