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Calcolo
Published in: Calcolo 1/2015

01-03-2015

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

Author: Pengzhan Huang

Published in: Calcolo | Issue 1/2015

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Abstract

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.
previous article An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier–Stokes equations

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Metadata
Title
Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods
Author
Pengzhan Huang
Publication date
01-03-2015
Publisher
Springer Milan
Published in
Calcolo / Issue 1/2015
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-014-0110-3

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