Two-level Brezzi-Pitkäranta stabilized finite element methods for the incompressible flows
type: Item
instance of: scholarly article
title: Two-level Brezzi-Pitkäranta stabilized finite element methods for the incompressible flows
zbMATH Open document ID: 1474.76036
DOI: 10.1155/2014/698354
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 incompressible flows based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of finite element solutions are derived for classical one-level method. Combining the techniques of two-level discretizations, we propose two-level Stokes/Oseen/Newton iteration methods corresponding to three different linearization methods and show the stability and error estimates of these three methods. We also propose a new Newton correction scheme based on the above two-level iteration methods. Finally, some numerical experiments are given to support the theoretical results and to check the efficiency of these two-level iteration methods.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7022905
Wikidata QID: Q59040723
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/698354
OpenAlex ID: W2050754829
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description: scientific article; zbMATH DE number 7022905