An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics

Abstract

This work presents an improved predictor/multi-corrector algorithm for linear structural dynamics problems, based on the time-discontinuous Galerkin finite element method. The improved algorithm employs the Gauss–Seidel method to calculate iteratively the solutions that exist in the phase of the predictor/multi-corrector of the numerical implementation. Stability analyses of iterative algorithms reveal that such an improved scheme retains the unconditionally stable behavior with greater efficiency than another iterative algorithm. Also, numerical examples are presented, demonstrating that the proposed method is more stable and accurate than several commonly used algorithms in structural dynamic applications.