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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:362

Article; Proceedings Paper

Hu, Xiaozhe¹  Mu, Lin²  Ye, Xiu³ 

[1] Tufts Univ, Dept Math, Medford, MA 02155 USA

[2] Oak Ridge Natl Lab, Comp Sci & Math Div, Oak Ridge, TN 37831 USA

[3] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA

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

DOI  :  10.1016/j.cam.2018.08.022

来源: Elsevier

【 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.

【 授权许可】

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