| Issue |
ESAIM: M2AN
Volume 40, Number 5, September-October 2006
|
|
|---|---|---|
| Page(s) | 843 - 869 | |
| DOI | https://doi.org/10.1051/m2an:2006036 | |
| Published online | 16 January 2007 | |
A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity
1
Facultad de Ingeniería, Universidad Católica de la Santísima Concepción, Casilla 297, Concepción, Chile.
2
GIMA, Departamento de Ingeniería Matemática,
Universidad de Concepción, Casilla 160-C, Concepción, Chile.
3
Departamento de Matemáticas, Universidade da Coruña,
Campus de Elviña s/n, 15071 A Coruña, Spain.
4
BICOM and Department of Mathematical Sciences, Brunel University,
Uxbridge, UB8 3PH, UK.
Received:
9
November
2005
In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator for the case of pure Dirichlet boundary conditions. In addition, several numerical experiments confirming the theoretical properties of the estimator, and illustrating the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution, are also reported.
Mathematics Subject Classification: 65N15 / 65N30 / 65N50 / 74B05
Key words: Mixed finite element / augmented formulation / a posteriori error estimator / linear elasticity.
© EDP Sciences, SMAI, 2007
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