TY - JOUR
T1 - On the accuracy of discontinuous Galerkin methods in the time domain
AU - Fung, T. C.
AU - Leung, A.Y.T.
PY - 1996/4
Y1 - 1996/4
N2 - In this paper, the solution accuracy of the time-discontinuous Galerkin (TDG) and bi-discontinuous Galerkin (BDG) methods is studied. It has been shown that the accuracies for TDG and BDG methods are of order 2m - 1 and 2m - 2, respectively, at the end of the time interval. It is found that the accuracy is in general of order m - 1 and m - 2 for TDG and BDG methods, respectively, within the time interval. The discrepancy at the initial time is of the same order of accuracy as the other points within the time interval. It is also found that some points within the time interval are of one-order higher in accuracy. These locations for lower-order interpolations are given. To maintain higher-order accuracy at the end of the time interval, it is shown that the forcing excitation should be accurate up to order 2m - 1 and 2m - 2 for TDG and BDG methods, respectively.
AB - In this paper, the solution accuracy of the time-discontinuous Galerkin (TDG) and bi-discontinuous Galerkin (BDG) methods is studied. It has been shown that the accuracies for TDG and BDG methods are of order 2m - 1 and 2m - 2, respectively, at the end of the time interval. It is found that the accuracy is in general of order m - 1 and m - 2 for TDG and BDG methods, respectively, within the time interval. The discrepancy at the initial time is of the same order of accuracy as the other points within the time interval. It is also found that some points within the time interval are of one-order higher in accuracy. These locations for lower-order interpolations are given. To maintain higher-order accuracy at the end of the time interval, it is shown that the forcing excitation should be accurate up to order 2m - 1 and 2m - 2 for TDG and BDG methods, respectively.
KW - Discontinuous Galerkin methods
KW - Solution accuracy
KW - Structural dynamics
KW - Time-step integration schemes
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U2 - 10.1177/107754639600200204
DO - 10.1177/107754639600200204
M3 - 21_Publication in refereed journal
VL - 2
SP - 193
EP - 217
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
SN - 1077-5463
IS - 2
ER -