Computational experiences which demonstrate the performance of two popular error estimators for finite-element approximations of the equations of plane linear elasticity are presented. The comparison involves element-residual and flux-projection error estimators for biquadratic elements. The numerical results indicate that element-residual estimates give reasonable predictions for the global energy-norm of the error for the types of meshes and solutions tested. From the results it is also clear that a popular class of flux-projection error estimators may lead to dangerous underestimation of the error for approximations obtained using biquadratic finite elements.

Chandra Shekhar Upadhyay

Department of Mechanical Engineering

IIT Jodhpur

Strouboulis T.

Gangaraj S.K.

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Journal	American Society of Mechanical Engineers, Applied Mechanics Division, AMD
Publisher	Publ by ASME, New York, NY, United States
ISSN	01608835
Open Access	No