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.

引用

页码：1 / 20

页数：20

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