This paper introduces a weak Galerkin (WG) finite element method for the Navier-Stokes equations in the primal velocity-pressure formulation. Optimal-order error estimates are established for the corresponding numerical approximations. It must be emphasized that the WG finite element method is designed on finite element partitions consisting of arbitrary shape of polygons or polyhedra which are ... read moreshape regular. Numerical experiments are presented to support the theoretical results.read less
Hu, Xiaozhe, Lin Mu, and Xiu Ye. "A Weak Galerkin Finite Element Method for the Navier-Stokes Equations." Journal of Computational and Applied Mathematics 362 (December 2019): 614-25. https://doi.org/10.1016/j.cam.2018.08.022.