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Zbl 1109.74047
Barrios, Tomás P.; Gatica, Gabriel N.; González, Mar\'ia; Heuer, Norbert
A residual-based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. (English)
[J] ESAIM, Math. Model. Numer. Anal. 40, No. 5, 843-869 (2006). ISSN 0764-583X; ISSN 1290-3841/e

Summary: We develop a residual-based a posteriori error analysis for an augmented mixed finite element method applied to plane linear elasticity. More precisely, we derive a reliable and efficient a posteriori error estimator for Dirichlet boundary conditions. In addition, we present several numerical experiments confirming the theoretical properties of the estimator and illustrating the capability of the corresponding adaptive algorithm to localize singularities and large stress regions of the solution.

MSC 2000:: *74S05 Finite element methods
74B05 Classical linear elasticity
65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)

Keywords: well-posedness; Clément interpolant; localization technique

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