Explicit predictor-multicorrector Time Discontinuous Galerkin methods for linear dynamics

This paper focuses on the formulation and implementation of explicit predic tor-multicorrector Time Discontinuous Galerkin methods for linear structura l dynamics. The formulation of the schemes is based on piecewise linear fun ctions in time that approximate displacements and momenta. Both the predict ors and correctors are designed to inherit third order accuracy from the ex act parent implicit Time Discontinuous Galerkin method. Moreover, they are endowed with large stability limits and controllable numerical dissipation by means of an algorithmic parameter. Thereby, the resulting algorithms app ear to be competitive with standard explicit algorithms for structural dyna mics. Representative numerical simulations are presented illustrating the p erformance of the proposed numerical schemes and confirming the analytical results. (C) 2001 Academic Press.