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Explicit predictor-multicorrector Time Discontinuous Galerkin methods for linear dynamics
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DOI：10.1006/jsvi.2001.3690.png)
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Abstract
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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 confirming the analytical results. (C) 2001 Academic Press.
Keywords:
STRUCTURAL DYNAMICS
UNIFIED SET
INTEGRATION
ALGORITHMS
DISSIPATION
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