Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations

In this paper, four stabilized methods based on the lowest equal-order finite element pair for the steady micropolar Navier–Stokes equations (MNSE) are presented, which are penalty, regular, multiscale enrichment, and local Gauss integration methods. A priori properties, existence, uniqueness, stabi...

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Detalles Bibliográficos
Autores principales: Liu, Jingnan, Liu, Demin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9025415/
https://www.ncbi.nlm.nih.gov/pubmed/35455117
http://dx.doi.org/10.3390/e24040454
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author Liu, Jingnan
Liu, Demin
author_facet Liu, Jingnan
Liu, Demin
author_sort Liu, Jingnan
collection PubMed
description In this paper, four stabilized methods based on the lowest equal-order finite element pair for the steady micropolar Navier–Stokes equations (MNSE) are presented, which are penalty, regular, multiscale enrichment, and local Gauss integration methods. A priori properties, existence, uniqueness, stability, and error estimation based on Fem approximation of all the methods are proven for the physical variables. Finally, some numerical examples are displayed to show the numerical characteristics of these methods.
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spelling pubmed-90254152022-04-23 Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations Liu, Jingnan Liu, Demin Entropy (Basel) Article In this paper, four stabilized methods based on the lowest equal-order finite element pair for the steady micropolar Navier–Stokes equations (MNSE) are presented, which are penalty, regular, multiscale enrichment, and local Gauss integration methods. A priori properties, existence, uniqueness, stability, and error estimation based on Fem approximation of all the methods are proven for the physical variables. Finally, some numerical examples are displayed to show the numerical characteristics of these methods. MDPI 2022-03-25 /pmc/articles/PMC9025415/ /pubmed/35455117 http://dx.doi.org/10.3390/e24040454 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
Liu, Jingnan
Liu, Demin
Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title_full Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title_fullStr Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title_full_unstemmed Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title_short Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
title_sort numerical analysis and comparison of four stabilized finite element methods for the steady micropolar equations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9025415/
https://www.ncbi.nlm.nih.gov/pubmed/35455117
http://dx.doi.org/10.3390/e24040454
work_keys_str_mv AT liujingnan numericalanalysisandcomparisonoffourstabilizedfiniteelementmethodsforthesteadymicropolarequations
AT liudemin numericalanalysisandcomparisonoffourstabilizedfiniteelementmethodsforthesteadymicropolarequations

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