Two‐Level Iteration Penalty Methods for the Navier‐Stokes Equations with Friction Boundary Conditions

Yuan Li and Rong An

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/125139

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:125139

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().