Analysis of a Staggered Discontinuous Galerkin Method for Linear Elasticity

被引：15

作者：

Lee, Jeonghun J. ^{[1
]}

Kim, Hyea Hyun ^{[2
]}

机构：

[1] Univ Oslo, Dept Math, N-0316 Oslo, Norway

[2] Kyung Hee Univ, Dept Appl Math, Yongin, South Korea

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2016年 / 66卷 / 02期

基金：

欧洲研究理事会;

关键词：

Discontinuous Galerkin method; Linear elasticity; Error analysis; Weak symmetry; MIXED FINITE-ELEMENTS; WEAKLY IMPOSED SYMMETRY; ELLIPTIC PROBLEMS; PLANE ELASTICITY; UNIFIED APPROACH; STRESS SYMMETRY; FAMILY; EQUATIONS; BUBBLE;

D O I：

10.1007/s10915-015-0036-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a staggered discontinuous Galerkin method for linear elasticity problems and prove its a priori error estimates. In our variational formulation the symmetry of the stress tensor is imposed weakly via Lagrange multipliers but the resulting numerical stress tensor is strongly symmetric. Optimal a priori error estimates are obtained and the error estimates are robust in nearly incompressible materials. Numerical experiments illustrating our theoretical analysis are included.

引用

页码：625 / 649

页数：25

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