Stabilization of low-order mixed finite elements for the plane elasticity equations

被引：4

作者：

Li, Zhenzhen ^{[1
]}

Chen, Shaochun ^{[2
]}

Qu, Shuanghong ^{[1
]}

Li, Minghao ^{[3
]}

机构：

[1] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[3] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 03期

关键词：

Plane elasticity equations; Low order elements; Weak inf-sup condition; Stabilization; LEAST-SQUARES METHODS; LINEAR ELASTICITY; STOKES EQUATIONS; SYMMETRIC FORMULATION; RECTANGULAR GRIDS; FAMILY; APPROXIMATIONS; TENSORS;

D O I：

10.1016/j.camwa.2016.11.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the mixed finite element method of the plane elasticity equations based on the Hellinger-Reissner variational principle. Low order mixed finite element spaces are used to approximate the stress and the displacement. Based on the local polynomial projection stabilization method, we present a stabilization scheme for the pairs to overcome the lack of the inf-supcondition. The stability is proved and the error estimate is derived. At last, two numerical examples are implemented to test the stability and effectiveness of the proposed method. These pairs are very convenient in the numerical implementation for the mixed form of the plane elasticity equations. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：363 / 373

页数：11

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