A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions
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A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditionsDate
2011-01Citation
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.
Keywords
Mixed finite element
Augmented formulation
A posteriori error estimator
Linear elasticity
Augmented formulation
A posteriori error estimator
Linear elasticity
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Rights
Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional
ISSN
0045-7825