An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D3D Stationary Navier-Stokes Equations
Joint Authors
Zhao, Xin
Xie, Dongxiu
Qin, Peihua
Wang, Aiwen
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate an Oseen two-level stabilized finite-element method based on the local pressure projection for the 2D/3D steady Navier-Stokes equations by the lowest order conforming finite-element pairs (i.e., Q1−P0 and P1−P0).
Firstly, in contrast to other stabilized methods, they are parameter free, no calculation of higher-order derivatives and edge-based data structures, implemented at the element level with minimal cost.
In addition, the Oseen two-level stabilized method involves solving one small nonlinear Navier-Stokes problem on the coarse mesh with mesh size H, a large general Stokes equation on the fine mesh with mesh size h=O(H)2.
The Oseen two-level stabilized finite-element method provides an approximate solution (uh,ph) with the convergence rate of the same order as the usual stabilized finite-element solutions, which involves solving a large Navier-Stokes problem on a fine mesh with mesh size h.
Therefore, the method presented in this paper can save a large amount of computational time.
Finally, numerical tests confirm the theoretical results.
Conclusion can be drawn that the Oseen two-level stabilized finite-element method is simple and efficient for solving the 2D/3D steady Navier-Stokes equations.
American Psychological Association (APA)
Wang, Aiwen& Zhao, Xin& Qin, Peihua& Xie, Dongxiu. 2012. An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D3D Stationary Navier-Stokes Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-478291
Modern Language Association (MLA)
Wang, Aiwen…[et al.]. An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D3D Stationary Navier-Stokes Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-478291
American Medical Association (AMA)
Wang, Aiwen& Zhao, Xin& Qin, Peihua& Xie, Dongxiu. An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D3D Stationary Navier-Stokes Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-478291
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478291