A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 5, pp. 843-869.

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.

DOI : 10.1051/m2an:2006036
Classification : 65N15, 65N30, 65N50, 74B05
Mots-clés : mixed finite element, augmented formulation, a posteriori error estimator, linear elasticity 
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     title = {A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {843--869},
     publisher = {EDP-Sciences},
     volume = {40},
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Barrios, Tomás P.; Gatica, Gabriel N.; González, María; Heuer, Norbert. A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 5, pp. 843-869. doi : 10.1051/m2an:2006036. http://www.numdam.org/articles/10.1051/m2an:2006036/

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