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EXPLICIT PREDICTOR–MULTICORRECTOR TIME DISCONTINUOUS GALERKIN METHODS FOR LINEAR DYNAMICS

✍ Scribed by A. BONELLI; O.S. BURSI; M. MANCUSO

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
386 KB
Volume
246
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper focuses on the formulation and implementation of explicit predictor} multicorrector Time Discontinuous Galerkin methods for linear structural dynamics. The formulation of the schemes is based on piecewise linear functions in time that approximate displacements and momenta. Both the predictors and correctors are designed to inherit third order accuracy from the exact 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 appear to be competitive with standard explicit algorithms for structural dynamics. Representative numerical simulations are presented illustrating the performance of the proposed numerical schemes and con"rming the analytical results.

2001 Academic Press

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## Abstract A predictor‐multicorrector implementation of a Time Discontinuous Galerkin method for non‐linear dynamic analysis is described. This implementation is intended to limit the high computational expense typically required by implicit Time Discontinuous Galerkin methods, without degrading t