Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-16
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
The basic idea is to solve the Navier-Stokes type variational inequality problem on a coarse mesh with mesh size H in combining with solving a Stokes, Oseen, or linearized Navier-Stokes type variational inequality problem for Stokes, Oseen, or Newton iteration on a fine mesh with mesh size h.
The error estimate obtained in this paper shows that if H, h, and ε can be chosen appropriately, then these two-level iteration penalty methods are of the same convergence orders as the usual one-level iteration penalty method.
American Psychological Association (APA)
Li, Yuan& An, Rong. 2013. Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-447577
Modern Language Association (MLA)
Li, Yuan& An, Rong. Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions. Abstract and Applied Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-447577
American Medical Association (AMA)
Li, Yuan& An, Rong. Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-447577
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447577