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

Tomás P. BarriosGabriel N. GaticaMaría GonzálezNorbert 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. BarriosGabriel N. GaticaMaría GonzálezNorbert 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...

Multiplicative square functions.

María José GonzálezArtur Nicolau — 2004

Revista Matemática Iberoamericana

We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function. The size of ...

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