A conforming discontinuous Galerkin finite element method for Brinkman equations

被引：2
|
作者：
Dang, Haoning [1 ]
Zhai, Qilong [1 ]
Zhao, Zhongshu [2 ,3 ]
机构：
[1] Jilin Univ, Sch Math, Changchun, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China
[3] Shanghai Jiao Tong Univ, Inst Nat Sci, Shanghai, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 440卷
基金：
中国国家自然科学基金;
关键词：
Brinkman equations; Discontinuous Galerkin; Discrete weak gradient operators; Polygonal meshes; STOKES;
D O I：
10.1016/j.cam.2023.115619
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a conforming discontinuous Galerkin (CDG) finite element method for Brinkman equations. The velocity stabilizer is removed by employing the higher degree polynomials to compute the weak gradient. The theoretical analysis shows that the CDG method is actually stable and accurate for the Brinkman equations. Optimal order error estimates are established in H-1 and L-2 norm. Finally, numerical experiments verify the stability and accuracy of the CDG numerical scheme.
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页数：16
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