Two-level Brezzi-Pitkäranta discretization method based on Newton iteration for Navier-Stokes equations with friction boundary conditions
type: Item
instance of: scholarly article
title: Two-level Brezzi-Pitkäranta discretization method based on Newton iteration for Navier-Stokes equations with friction boundary conditions
zbMATH Open document ID: 1470.76046
DOI: 10.1155/2014/474160
author: Rong An
author: Xian Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We present a new stabilized finite element method for Navier-Stokes equations with friction slip boundary conditions based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one-level method. Combining the techniques of two-level discretization method, we propose two-level Newton iteration method and show the stability and error estimate. Finally, the numerical experiments are given to support the theoretical results and to check the efficiency of this two-level iteration method.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7022446
Wikidata QID: Q59038546
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/474160
OpenAlex ID: W2071330551
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description: scientific article; zbMATH DE number 7022446