New Residual Based Stabilization Method for the Elasticity Problem

被引：2

作者：

Li, Minghao ^{[1
]}

Shi, Dongyang ^{[2
]}

Dai, Ying ^{[3
]}

机构：

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

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

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

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2018年 / 10卷 / 01期

关键词：

Elasticity; MFEM; residuals; stabilization; MIXED FINITE-ELEMENTS; LEAST-SQUARES METHODS; LINEAR ELASTICITY; SYMMETRIC FORMULATION; RECTANGULAR GRIDS; PLANE ELASTICITY; EQUATIONS; TENSORS; FAMILY;

D O I：

10.4208/aamm.2016.m1464

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 (MFEM) of the elasticity problem in two and three dimensions (2D and 3D). We develop a new residual based stabilization method to overcome the inf-sup difficulty, and use Langrange elements to approximate the stress and displacement. The new method is unconditionally stable, and its stability can be obtained directly from Cea's lemma. Optimal error estimates for the H-1-norm of the displacement and H(div)-norm of the stress can be obtained at the same time. Numerical results show the excellent stability and accuracy of the new method.

引用

页码：100 / 113

页数：14

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