A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations

被引：33
|
作者：
Tian, Tian [1 ,2 ]
Zhai, Qilong [1 ]
Zhang, Ran [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 329卷
基金：
美国国家科学基金会;
关键词：
Weak Galerkin finite element methods; Weak gradient; Stokes equations; Polytopal meshes; 2ND-ORDER ELLIPTIC PROBLEMS;
D O I：
10.1016/j.cam.2017.01.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a modified weak Galerkin method is proposed for the Stokes problem. The numerical scheme is based on a novel variational form of the Stokes problem. The degree of freedoms in the modified weak Galerkin method is less than that in the original weak Galerkin method, while the accuracy stays the same. In this paper, the optimal convergence orders are given and some numerical experiments are presented to verify the theory. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：268 / 279
页数：12
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