Stability-Improved Spectral-Element Time-Domain Method Based on Newmark- $\beta$

A stability-improved spectral-element time-domain (SETD) method based on Newmark-β scheme is proposed. The algorithm preserves the explicit solution property, and the time step is doubled compared with that of the traditional SETD method. In addition, the novel algorithm has a significant effect on the suppression of late-time instability. Some numerical results demonstrate the ability and accuracy of this algorithm.