A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions

González Taboada, María; Barrios, Tomás P.; Behrens, Edwin M.

Use this link to cite:

http://hdl.handle.net/2183/15684

A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions

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2011_González_Taboada_María_A_posteriori_error_analysis.pdf (1.48 MB)

Identifiers

URI: http://hdl.handle.net/2183/15684

Publication date

2011-01

Authors

González Taboada, María

Barrios, Tomás P.

Behrens, Edwin M.

Bibliographic citation

T. P. Barrios, E. M. Behrens, M. González, A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions, Computer Methods in Applied Mechanics and Engineering, 200(1-4) (2011) 101-113.

Abstract

[Abstract] We develop a residual-based a posteriori error analysis for the augmented mixed methods introduced in and for the problem of linear elasticity in the plane. We prove that the proposed a posteriori error estimators are both reliable and efficient. Numerical experiments confirm these theoretical properties and illustrate the ability of the corresponding adaptive algorithms to localize the singularities and large stress regions of the solutions.