The Brezzi-Pitkaranta stabilization scheme for the elasticity problem

被引：4

作者：

Li, Minghao ^{[1
]}

Shi, Dongyang ^{[2
]}

Dai, Ying ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 286卷

关键词：

Elasticity problem; Weaker it-sup condition; Brezzi-Pitkaranta stabilization; Error estimates; MIXED FINITE-ELEMENT; NAVIER-STOKES EQUATIONS; LEAST-SQUARES METHODS; WEAK STRESS SYMMETRY; LINEAR ELASTICITY; FORMULATION; IMPLEMENTATION; INTERPOLATION; PROJECTION; FEM;

D O I：

10.1016/j.cam.2015.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the elasticity problem based on the Hellinger-Reissner variational principle. We use the equal order linear and bilinear mixed finite element spaces to approximate the stress and the displacement, and develop a Brezzi-Pitkaranta stabilization method for the finite element space pairs to overcome the lack of the inf-sup condition, then we give the error estimates of the stabilization approximation scheme. At last, we implement two numerical examples to test the stability and effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：7 / 16

页数：10

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