TY - JOUR
T1 - A Least-Squares Stabilization Virtual Element Method for the Stokes Problem on Polygonal Meshes
AU - Li , Yang
AU - Hu , Chaolang
AU - Feng , Minfu
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 685
EP - 708
PY - 2022
DA - 2022/08
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20935.html
KW - Virtual element method, Stokes problem, Least-squares stabilization.
AB - <p style="text-align: justify;">This paper studies the virtual element method for Stokes problem with a least-squares
type stabilization. The method cannot only circumvent the Babuška-Brezzi condition, but also
make use of general polygonal meshes, as opposed to more standard triangular grids. Moreover,
it is suitable for arbitrary combinations of the velocity and pressure, including equal-order virtual
element. We obtain the corresponding energy norm error estimates and $L^2$ norm error estimates
for velocity. Finally, a series of numerical experiments are performed to verify the method has
good behaviors.</p>