Hybrid time-finite-elements with time-step-adaption by discontinuity control (Q1914981)

This paper generalizes the approach towards nonlinear systems from structural dynamics with multiple degrees of freedom. Special attention is paid to the symmetry of the coefficient matrix of the implicit process and to an integrated time step control. A parallel Padé-based way is presented which results in an identical time-stepping-scheme as the variational approach. This Padé-way, however, offers no mechanical interpretation and gives no hints at controlling the time-step.