Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity

被引：9

作者：

Barrios, Tomas P. ^{[1
]}

Behrens, Edwin M. ^{[2
]}

Gonzalez, Maria ^{[3
,4
]}

机构：

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

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

[3] Univ A Coruna, Dept Matemat, La Coruna, Spain

[4] Basque Ctr Appl Math, Bilbao 48009, Spain

来源：

APPLIED NUMERICAL MATHEMATICS | 2014年 / 84卷

关键词：

Linear elasticity; Mixed finite element method; Stabilization; A posteriori error estimates; FINITE-ELEMENT-METHOD;

D O I：

10.1016/j.apnum.2014.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In the case of homogeneous Dirichlet boundary conditions, the new a posteriori error estimator is reliable and locally efficient, whereas for non-homogeneous Dirichlet boundary conditions, we derive an a posteriori error estimator that is reliable and satisfies a quasi-efficiency bound. Numerical experiments illustrate the performance of the corresponding adaptive algorithms and support the theoretical results. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：46 / 65

页数：20

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