A weak Galerkin finite element method for the Navier-Stokes equations

[摘要] 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 shape regular. Numerical experiments are presented to support the theoretical results. (C) 2018 Elsevier B.V. All rights reserved.

[发布日期] 2019-12-15

[效力级别]  Proceedings Paper

[关键词] Weak Galerkin;Finite element methods;The Navier-Stokes equations;Polyhedral meshes