Estimation of global time integration errors in rigid body dynamics
Keywords:
time integration, error estimation, adaptive methods, rigid bodies, dynamicsAbstract
The popular Newmark time integration scheme is used in the standard finite difference form as well as in an equivalent Galerkin form for the time integration of rigid body dynamics problems. Estimators for local and global time integration errors are developed. In particular the evaluation of the dual problem for different goals of the error is discussed. A special focus is also on the comparison for linear and nonlinear problems. Finally an adaptive time integration scheme is presented for which both - the local and the global - error estimators are used. The merits and limits are shown for some particular numerical problems.
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