A modified weak Galerkin finite element method for the Stokes equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:275

Article

Mu, Lin¹  Wang, Xiaoshen²  Ye, Xiu² 

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

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

关键词: Modified weak Galerkin;    Finite element methods;    The Stokes equations;    Polyhedral meshes;   

DOI  :  10.1016/j.cam.2014.08.006

来源: Elsevier

【 摘 要 】

A modified weak Galerkin (MWG) finite element method is introduced for the Stokes equations in the primary velocity-pressure formulation. This method is based on the weak Galerkin (WG) finite element method developed recently in Wang and Ye (0000). The unknowns associated with element boundaries in the WG method have been eliminated in the MWG method. As the result, the MWG method has fewer degrees of freedom. Optimal-order error estimates are established for the corresponding numerical approximation in various norms. Numerical results are presented to confirm the theory. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

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