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  4. Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
 
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Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
Dr. Barrios-Faúndez, Tomás 
Facultad de Ingeniería 
Dr. Behrens-Rincón, Edwin 
Facultad de Ingeniería 
María González 
10.1016/j.apnum.2014.05.008
ELSEVIER
2014
We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In the case of homogeneous Dirichlet boundary conditions, the new a posteriori error estimator is reliable and locally efficient, whereas for non-homogeneous Dirichlet boundary conditions, we derive an a posteriori error estimator that is reliable and satisfies a quasi-efficiency bound. Numerical experiments illustrate the performance of the corresponding adaptive algorithms and support the theoretical results.
A posteriori error estimates
Linear elasticity
Mixed finite element method
Stabilization
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