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A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations
Joint Authors
Zhao, Xin
Wu, Jian-Hua
Yang, Jianhong
Li, Jian
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper proposes and analyzes a stabilized finite-volume method (FVM) for the three-dimensional stationary Navier-Stokes equations approximated by the lowest order finite element pairs.
The method studies the new stabilized FVM with the relationship between the stabilized FEM (FEM) and the stabilized FVM under the assumption of the uniqueness condition.
The results have three prominent features in this paper.
Firstly, the error analysis shows that the stabilized FVM provides an approximate solution with the optimal convergence rate of the same order as the usual stabilized FEM solution solving the stationary Navier-Stokes equations.
Secondly, superconvergence results on the solutions of the stabilized FEM and stabilized FVM are derived on the H1-norm and the L2-norm for the velocity and pressure.
Thirdly, residual technique is applied to obtain the L2-norm error for the velocity without additional regular assumption on the exact solution.
American Psychological Association (APA)
Li, Jian& Zhao, Xin& Wu, Jian-Hua& Yang, Jianhong. 2012. A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029529
Modern Language Association (MLA)
Li, Jian…[et al.]. A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029529
American Medical Association (AMA)
Li, Jian& Zhao, Xin& Wu, Jian-Hua& Yang, Jianhong. A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029529
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029529