Two-level iteration penalty methods for the Navier-Stokes equations with friction boundary conditions
type: Item
instance of: scholarly article
title: Two-level iteration penalty methods for the Navier-Stokes equations with friction boundary conditions
zbMATH Open document ID: 1299.76143
DOI: 10.1155/2013/125139
author: Yuan Li
author: Rong An
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: 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 \(\varepsilon\) 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.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 6306037
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/125139
OpenAlex ID: W2125452544
Wikidata QID: Q58915309
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description: scientific article; zbMATH DE number 6306037