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

• Main Authors: Liu, D. (Author), Liu, J. (Author)
• Format: Article
• Language: English
• Published: MDPI 2022
• Subjects: local Gauss integration method; micropolar Navier–Stokes equations; multiscale enrichment method; penalty method; regular method; stability and convergence
• Online Access: View Fulltext in Publisher
• ISBN: 10994300 (ISSN)
• DOI: 10.3390/e24040454

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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.