A finite element method by patch reconstruction for the Stokes problem using mixed formulations

被引：11
作者：
Li, Ruo [1 ,2 ]
Sun, Zhiyuan [3 ]
Yang, Fanyi [3 ]
Yang, Zhijian [4 ]
机构：
[1] Peking Univ, LMAM, CAPT, Beijing 100871, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[4] Wuhan Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 353卷
关键词：
Stokes problem; Reconstructed basis function; Discontinuous Galerkin method; inf-sup test; DISCONTINUOUS GALERKIN METHODS; PART I; HYBRIDIZATION; SYSTEM;
D O I：
10.1016/j.cam.2018.12.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The proposed method has a great flexibility in velocity-pressure space pairs whose stability properties are confirmed by the inf-sup tests. Numerical examples show the applicability and efficiency of the proposed method. (C) 2018 Elsevier B.V. All rights reserved.
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页码：1 / 20
页数：20
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