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A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity

Tomás P. Barrios; Gabriel N. Gatica; María González; Norbert Heuer — 2006

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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...

A residual based error estimator for an augmented mixed finite element method in linear elasticity

Tomás P. Barrios; Gabriel N. Gatica; María González; Norbert Heuer — 2007

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we develop a residual based 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 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...

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