Introduction to numerical analysis: 2nd edition
Introduction to numerical analysis: 2nd edition
Automatic time stepping algorithms for implicit numerical simulations of non-linear dynamics
Advances in Engineering Software - Engineering computational technology
Review: A posteriori error estimation techniques in practical finite element analysis
Computers and Structures
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This work presents a new error estimator that can be used in both linear and non-linear solid and structural dynamic problems. Specifically, this estimator is developed for the Hilber-Hughes-Taylor (HHT) method and it takes into account the error made in displacements and velocities. Since the accelerations computed by the HHT method are not sufficiently accurate to be used in the estimator, a strategy is presented to compute new accelerations with a minor computational cost. Finally, an efficient implementation of the estimator is designed.