@Article{cmes.2001.002.213,
AUTHOR = {Chyou-Chi  Chien, Tong-Yue  Wu},
TITLE = {An Advanced Time-Discontinuous Galerkin Finite Element Method for Structural Dynamics},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {2},
YEAR = {2001},
NUMBER = {2},
PAGES = {213--226},
URL = {http://www.techscience.com/CMES/v2n2/24729},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2001.002.213}
}