# Generalized Weak Galerkin Methods For Stokes Equations

@article{Qi2022GeneralizedWG, title={Generalized Weak Galerkin Methods For Stokes Equations}, author={Wenya Qi and Padmanabhan Seshaiyer and Junping Wang}, journal={ArXiv}, year={2022}, volume={abs/2205.10996} }

. A new weak Galerkin ﬁnite element method, called generalized weak Galerkin method (gWG), is introduced for Stokes equations in this paper by using a new deﬁnition of the weak gradient. Error estimates in energy norm and L 2 norm for the velocity and L 2 norm for the pressure are derived for elements with arbitrary combination of polynomials. Some numerical examples are presented to verify the eﬀectiveness, theoretical convergence orders, and robustness of the proposed scheme.

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