A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model

In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterative algorithm, the main finding is that the propos...

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Detalles Bibliográficos
Autores principales: Keram, Aytura, Huang, Pengzhan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9028471/
https://www.ncbi.nlm.nih.gov/pubmed/35455206
http://dx.doi.org/10.3390/e24040543
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author Keram, Aytura
Huang, Pengzhan
author_facet Keram, Aytura
Huang, Pengzhan
author_sort Keram, Aytura
collection PubMed
description In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterative algorithm, the main finding is that the proposed algorithm produces weakly divergence-free velocity approximation. In addition, the convergence results of the proposed algorithm are provided, and numerical tests supporting the theory are presented.
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spelling pubmed-90284712022-04-23 A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model Keram, Aytura Huang, Pengzhan Entropy (Basel) Article In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterative algorithm, the main finding is that the proposed algorithm produces weakly divergence-free velocity approximation. In addition, the convergence results of the proposed algorithm are provided, and numerical tests supporting the theory are presented. MDPI 2022-04-13 /pmc/articles/PMC9028471/ /pubmed/35455206 http://dx.doi.org/10.3390/e24040543 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Keram, Aytura
Huang, Pengzhan
A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title_full A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title_fullStr A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title_full_unstemmed A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title_short A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
title_sort uzawa-type iterative algorithm for the stationary natural convection model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9028471/
https://www.ncbi.nlm.nih.gov/pubmed/35455206
http://dx.doi.org/10.3390/e24040543
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AT keramaytura uzawatypeiterativealgorithmforthestationarynaturalconvectionmodel
AT huangpengzhan uzawatypeiterativealgorithmforthestationarynaturalconvectionmodel

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