Volume 40, Number 5, September-October 2006
|Page(s)||843 - 869|
|Published online||16 January 2007|
A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity
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.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.