@Article{AAMM-17-1625,
author = {Zhang , Xi and Feng , Minfu},
title = {An Absolutely Stabilized Virtual Element Method for  the Incompressible Stokes Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {6},
pages = {1625--1653},
abstract = {<p style="text-align: justify;">In this paper, we propose an absolutely stabilized mixed virtual element
 method (mixed VEM) for the incompressible Stokes equations. We employ the $C^0$-conforming virtual element space for the velocity and discontinuous polynomial space
 for the pressure. The velocity-pressure pair contains&quot;arbitrary-order&quot; polynomials,
 and stability is guaranteed by the&quot;absolutely stabilized finite element formulation&quot; originally introduced in [21]. We establish error estimates in the energy norm for both
 velocity and pressure, as well as an $L^2-$ error estimate for the velocity. Several numerical experiments validate the theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0281},
url = {http://global-sci.org/intro/article_detail/aamm/24489.html}
}