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An Efficient Algorithm with Stabilized Finite Element Method for the Stokes Eigenvalue Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper provides a two-space stabilized mixed finite element scheme for the Stokes eigenvalue problem based on local Gauss integration.
The two-space strategy contains solving one Stokes eigenvalue problem using the P1-P1 finite element pair and then solving an additional Stokes problem using the P2-P2 finite element pair.
The postprocessing technique which increases the order of mixed finite element space by using the same mesh can accelerate the convergence rate of the eigenpair approximations.
Moreover, our method can save a large amount of computational time and the corresponding convergence analysis is given.
Finally, numerical results are presented to confirm the theoretical analysis.
American Psychological Association (APA)
Weng, Zhifeng& Cai, Yaoxiong. 2017. An Efficient Algorithm with Stabilized Finite Element Method for the Stokes Eigenvalue Problem. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191356
Modern Language Association (MLA)
Weng, Zhifeng& Cai, Yaoxiong. An Efficient Algorithm with Stabilized Finite Element Method for the Stokes Eigenvalue Problem. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1191356
American Medical Association (AMA)
Weng, Zhifeng& Cai, Yaoxiong. An Efficient Algorithm with Stabilized Finite Element Method for the Stokes Eigenvalue Problem. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191356
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191356