An efficient time discontinuous Galerkin procedure for non-linear structural dynamics
✍ Scribed by Massimo Mancuso; Francesco Ubertini
- Book ID
- 104013243
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 666 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
This paper presents an effective time discontinuous Galerkin procedure for non-linear dynamics. The procedure is based on a cheap iterative algorithm, which is rather different from previous efforts. In fact, the algorithm is designed so that the corrected solutions inherit the desired stability and dissipative properties and the iterations serve only to improve accuracy. Some numerical tests illustrate the good performance of the present procedure, which appears to be competitive with the available implementations of time discontinuous Galerkin methods.
📜 SIMILAR VOLUMES
Explicit predictor}multicorrector time discontinuous Galerkin (TDG) methods developed for linear structural dynamics are formulated and implemented in a form suitable for arbitrary non-linear analysis of structural dynamics problems. The formulation is intended to inherit the accuracy properties of
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 predic