A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions

被引：5

作者：

Barrios, Tomas P. ^{[2
]}

Behrens, Edwin M. ^{[3
]}

Gonzalez, Maria ^{[1
]}

机构：

[1] Univ A Coruna, Dept Matemat, La Coruna 15071, Spain

[2] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Concepcion, Chile

[3] Univ Catolica Santisima Concepcion, Dept Ingn Civil, Concepcion, Chile

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 1-4期

关键词：

Mixed finite element; Augmented formulation; A posteriori error estimator; Linear elasticity; FINITE-ELEMENT-METHOD;

D O I：

10.1016/j.cma.2010.07.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We develop a residual-based a posteriori error analysis for the augmented mixed methods introduced in [13,14] for the problem of linear elasticity in the plane. We prove that the proposed a posteriori error estimators are both reliable and efficient. Numerical experiments confirm these theoretical properties and illustrate the ability of the corresponding adaptive algorithms to localize the singularities and large stress regions of the solutions. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：101 / 113

页数：13

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