TY - JOUR
T1 - A Stabilized Nonconforming Quadrilateral Finite Element Method for the Generalized Stokes Equations
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 449
EP - 459
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/641.html
KW - Generalized Stokes equations, nonconforming quadrilateral finite elements, optimal error estimates, inf-sup condition, numerical experiments, stability.
AB - <p style="text-align: justify;">In this paper, we study a local stabilized nonconforming finite element method for the
generalized Stokes equations. This nonconforming method is based on two local Gauss integrals,
and uses the equal order pairs of mixed finite elements on quadrilaterals. Optimal order error
estimates are obtained for velocity and pressure. Numerical experiments performed agree with
the theoretical results.</p>