An optimal nonconforming finite element method for the Stokes equations
Provides a stable and optimal nonconforming finite element method for solving Stokes equations, improving upon previous stabilization approaches.
The paper improves the stabilization method for the Crouzix-Raviart element for velocity and continuous linear element for pressure in Stokes equations, achieving optimal order error estimates with numerical validation.
In this paper, we propose and develop an optimal nonconforming finite element method for the Stokes equations approximated by the Crouzix-Raviart element for velocity and the continuous linear element for pressure. Previous result in using the stabilization method for this finite element pair is improved and then proven to be stable. Then, optimal order error estimate is obtained and numerical results show the accuracy and robustness of the method.