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An Advanced Time-Discontinuous Galerkin Finite Element Method for Structural Dynamics

Chyou-Chi Chien, Tong-Yue Wu1

Department of Civil Engineering, Chung-Yuan University, Chung-Li, 32023, Taiwan. e-mail:

Computer Modeling in Engineering & Sciences 2001, 2(2), 213-226.


This study presents a novel computational method for implementing the time finite element formulation for the equations of linear structural dynamics. The proposed method adopts the time-discontinuous Galerkin method, in which both the displacement and velocity variables are represented independently by second-order interpolation functions in the time domain. The solution algorithm derived utilizes a predictor/multi-corrector technique that can effectively obtain the solutions for the resulting system of coupled equations. The numerical implementation of the time-discontinuous Galerkin finite element method is verified through several benchmark problems. Numerical results are compared with exact and accepted solutions from previous literature. Since a fifth-order accurate algorithm ensues by using quadratic interpolations for displacement and velocity, numerical results significantly improve in stability and accuracy for structural dynamics problems.


Cite This Article

Chien, C., Wu, T. (2001). An Advanced Time-Discontinuous Galerkin Finite Element Method for Structural Dynamics. CMES-Computer Modeling in Engineering & Sciences, 2(2), 213–226.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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